Pub Date : 2026-01-16DOI: 10.1016/j.physleta.2026.131379
Igor N. Karnaukhov
Within the framework of a model, that takes into account two-particle hybridization of conduction and localized electrons, the effective interaction between conduction electrons is calculated. It is shown that this interaction leads to attractive effective interaction between conduction electrons when the energy of the localized electron corresponding to the two-particle state lies in the conduction band above the Fermi energy. The magnitude of the attractive interaction is minimal for η-paired states of conduction electrons. We generalize the original η-pairing construction for the proposed model and show that the superconducting state can indeed be realised. With high probability, it is the η-pairing of conduction electrons, arising from their two-particle hybridization with localized electrons, are realized in high-temperature superconductors.
{"title":"η -pairing in the model with two-particle hybridization of conduction and localized electrons","authors":"Igor N. Karnaukhov","doi":"10.1016/j.physleta.2026.131379","DOIUrl":"10.1016/j.physleta.2026.131379","url":null,"abstract":"<div><div>Within the framework of a model, that takes into account two-particle hybridization of conduction and localized electrons, the effective interaction between conduction electrons is calculated. It is shown that this interaction leads to attractive effective interaction between conduction electrons when the energy of the localized electron corresponding to the two-particle state lies in the conduction band above the Fermi energy. The magnitude of the attractive interaction is minimal for <em>η</em>-paired states of conduction electrons. We generalize the original <em>η</em>-pairing construction for the proposed model and show that the superconducting state can indeed be realised. With high probability, it is the <em>η</em>-pairing of conduction electrons, arising from their two-particle hybridization with localized electrons, are realized in high-temperature superconductors.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"574 ","pages":"Article 131379"},"PeriodicalIF":2.6,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
To investigate the coexistence of superconductivity and charge density wave (CDW) in a correlated regime, we employ the Green’s functions formalism, as well as the Hubbard-I approximation, as a way to introduce the correlations into the problem, in the form of a repulsive Coulomb interaction U. In addition, we investigate the effects of second-nearest neighbor hopping t1 on a pure CDW state. The analysis of the results show that, for small values of t1, both CDW and superconducting gaps compete for the same region on the Fermi surface. The increase of t1 decreases the competition and may lead the system to a coexistence regime. Effects of temperature in the coexistence regime, are also investigated.
{"title":"Coexistence of superconductivity and charge density wave in a correlated regime","authors":"E.J. Calegari , L.C. Prauchner , A.C. Lausmann , S.G. Magalhaes","doi":"10.1016/j.physleta.2026.131380","DOIUrl":"10.1016/j.physleta.2026.131380","url":null,"abstract":"<div><div>To investigate the coexistence of superconductivity and charge density wave (CDW) in a correlated regime, we employ the Green’s functions formalism, as well as the Hubbard-I approximation, as a way to introduce the correlations into the problem, in the form of a repulsive Coulomb interaction <em>U</em>. In addition, we investigate the effects of second-nearest neighbor hopping <em>t</em><sub>1</sub> on a pure CDW state. The analysis of the results show that, for small values of <em>t</em><sub>1</sub>, both CDW and superconducting gaps compete for the same region on the Fermi surface. The increase of <em>t</em><sub>1</sub> decreases the competition and may lead the system to a coexistence regime. Effects of temperature in the coexistence regime, are also investigated.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"574 ","pages":"Article 131380"},"PeriodicalIF":2.6,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-16DOI: 10.1016/j.physleta.2026.131371
Jin-Fang Li , Yilou Liu , Dong-Shan He , Zuo-Yuan Zhang , Xiao-Tao Xie
Quantum optimal control is essential for realizing quantum computing, and the task is constructing high-fidelity quantum logic gates. Among the fundamental operations for qubit manipulation, Pauli gates play a pivotal role. In this study, we employ a multi-constrained quantum control method to investigate the phase modulation in spin-1/2 system for Pauli gates. Our results demonstrate that Pauli gates achieve target state preparation with fidelities above 0.9999 for selected initial states, where final population closely match theoretical predictions. Furthermore, we analyze phase control in specific quantum states. Theoretically, the Pauli-X gate induces a phase sign inversion, whereas Pauli-Y and Pauli-Z gates produce relative phases. Our optimized results show phase deviations within 0.0164π of theoretical values. Moreover, high fidelity can be maintained even when population is effected by initial phases. These phase evolution characteristics provide valuable guidance for optimizing quantum operations and improving computational accuracy.
{"title":"Optimization of Pauli operations for numerical analysis of quantum state’s relative phase in spin-1/2 quantum system","authors":"Jin-Fang Li , Yilou Liu , Dong-Shan He , Zuo-Yuan Zhang , Xiao-Tao Xie","doi":"10.1016/j.physleta.2026.131371","DOIUrl":"10.1016/j.physleta.2026.131371","url":null,"abstract":"<div><div>Quantum optimal control is essential for realizing quantum computing, and the task is constructing high-fidelity quantum logic gates. Among the fundamental operations for qubit manipulation, Pauli gates play a pivotal role. In this study, we employ a multi-constrained quantum control method to investigate the phase modulation in spin-1/2 system for Pauli gates. Our results demonstrate that Pauli gates achieve target state preparation with fidelities above 0.9999 for selected initial states, where final population closely match theoretical predictions. Furthermore, we analyze phase control in specific quantum states. Theoretically, the Pauli-X gate induces a phase sign inversion, whereas Pauli-Y and Pauli-Z gates produce relative phases. Our optimized results show phase deviations within 0.0164<em>π</em> of theoretical values. Moreover, high fidelity can be maintained even when population is effected by initial phases. These phase evolution characteristics provide valuable guidance for optimizing quantum operations and improving computational accuracy.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131371"},"PeriodicalIF":2.6,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.physleta.2026.131374
Bandari Rashmi , Srivani Javvaji , S. Shravan Kumar Reddy , P. Rambabu , Srinivasa Rao Pathipati
We present a comprehensive study of the structural, electronic, mechanical, and thermoelectric properties of the ternary nitride compound Sr2ZnN2 using first-principles density functional theory (DFT) combined with semi-classical Boltzmann transport theory. The compound is found to be dynamically and mechanically stable, as confirmed by phonon dispersion and elastic constant calculations satisfying the Born–Huang criteria. The electronic structure, computed using the modified Becke–Johnson (mBJ) potential, reveals a direct bandgap of 1.574 eV. Mechanical analysis indicates ductile behavior, supported by positive Cauchy pressure, Poisson’s ratio, and Pugh’s ratio. Thermal transport analysis shows that acoustic phonon scattering is the dominant scattering mechanism affecting charge carrier mobility, while ionized impurity and polar optical phonon scattering contribute minimally. The lattice thermal conductivity, estimated using Slack’s approximation, decreases with increasing temperature, supporting its potential for thermoelectric applications. These findings highlight Sr2ZnN2 as a mechanically robust and electronically promising material with potential for moderate thermoelectric performance.
{"title":"Ab-initio study of structural, electronic, mechanical, and thermoelectric properties of Sr2ZnN2","authors":"Bandari Rashmi , Srivani Javvaji , S. Shravan Kumar Reddy , P. Rambabu , Srinivasa Rao Pathipati","doi":"10.1016/j.physleta.2026.131374","DOIUrl":"10.1016/j.physleta.2026.131374","url":null,"abstract":"<div><div>We present a comprehensive study of the structural, electronic, mechanical, and thermoelectric properties of the ternary nitride compound Sr<sub>2</sub>ZnN<sub>2</sub> using first-principles density functional theory (DFT) combined with semi-classical Boltzmann transport theory. The compound is found to be dynamically and mechanically stable, as confirmed by phonon dispersion and elastic constant calculations satisfying the Born–Huang criteria. The electronic structure, computed using the modified Becke–Johnson (mBJ) potential, reveals a direct bandgap of 1.574 eV. Mechanical analysis indicates ductile behavior, supported by positive Cauchy pressure, Poisson’s ratio, and Pugh’s ratio. Thermal transport analysis shows that acoustic phonon scattering is the dominant scattering mechanism affecting charge carrier mobility, while ionized impurity and polar optical phonon scattering contribute minimally. The lattice thermal conductivity, estimated using Slack’s approximation, decreases with increasing temperature, supporting its potential for thermoelectric applications. These findings highlight Sr<sub>2</sub>ZnN<sub>2</sub> as a mechanically robust and electronically promising material with potential for moderate thermoelectric performance.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"574 ","pages":"Article 131374"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.physleta.2026.131376
B. Kh. Turmanov , F. Kh. Abdullaev , F.Z. Isakov
The dynamics and spectrum of the impurity immersed in a quasi-one-dimensional dipolar Bose-Einstein condensate (BEC) are investigated. The case when a two-soliton molecule state exists in a dipolar BEC is considered. If the interaction between an atomic impurity and bosons is attractive, the soliton molecule (SM) of the BEC generates an effective double-well potential for the impurity. The spectrum of the impurity in this effective potential is found. The results are verified through direct numerical simulations of coupled Gross-Pitaevskii equations. The nonstationary processes, such as impurity oscillations, due to quantum tunneling, are analyzed. Numerical simulations of the full system confirm predictions for the frequency of impurity oscillations.
{"title":"Atomic impurity in a quasi-one-dimensional dipolar Bose-Einstein condensate","authors":"B. Kh. Turmanov , F. Kh. Abdullaev , F.Z. Isakov","doi":"10.1016/j.physleta.2026.131376","DOIUrl":"10.1016/j.physleta.2026.131376","url":null,"abstract":"<div><div>The dynamics and spectrum of the impurity immersed in a quasi-one-dimensional dipolar Bose-Einstein condensate (BEC) are investigated. The case when a two-soliton molecule state exists in a dipolar BEC is considered. If the interaction between an atomic impurity and bosons is attractive, the soliton molecule (SM) of the BEC generates an effective <em>double-well potential</em> for the impurity. The spectrum of the impurity in this effective potential is found. The results are verified through direct numerical simulations of coupled Gross-Pitaevskii equations. The nonstationary processes, such as impurity oscillations, due to quantum tunneling, are analyzed. Numerical simulations of the full system confirm predictions for the frequency of impurity oscillations.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"574 ","pages":"Article 131376"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146006511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.physleta.2026.131372
Chen Wang, Shi-Fan Qi
In this work, we propose a two-mode squeezing generation scheme in a hybrid three-mode cavity optomechanical system, where a mechanical resonator couples to two microwave (or optical) photon modes. By applying modulated strong drives, we derive an effective Hamiltonian that describes mechanically mediated two-photon squeezing, which is validated by diagonalizing the system’s transition matrix in the Heisenberg picture. Our analysis reveals that stable two-mode squeezing can be achieved by optimizing the squeezing operator even in unsteady-state dynamics, with the squeezing level exceeding the maximum achievable under system stability conditions while maintaining the anti-squeezing at a proper level within a suitable time interval. Furthermore, we show that our protocol is robust against systematic errors in both driving intensity and frequency, as well as against thermal Markovian noises. Our work presents an extendable approach for generating two-mode squeezed states between indirectly coupled bosonic modes.
{"title":"Dynamically stable two-mode squeezing in cavity optomechanics","authors":"Chen Wang, Shi-Fan Qi","doi":"10.1016/j.physleta.2026.131372","DOIUrl":"10.1016/j.physleta.2026.131372","url":null,"abstract":"<div><div>In this work, we propose a two-mode squeezing generation scheme in a hybrid three-mode cavity optomechanical system, where a mechanical resonator couples to two microwave (or optical) photon modes. By applying modulated strong drives, we derive an effective Hamiltonian that describes mechanically mediated two-photon squeezing, which is validated by diagonalizing the system’s transition matrix in the Heisenberg picture. Our analysis reveals that stable two-mode squeezing can be achieved by optimizing the squeezing operator even in unsteady-state dynamics, with the squeezing level exceeding the maximum achievable under system stability conditions while maintaining the anti-squeezing at a proper level within a suitable time interval. Furthermore, we show that our protocol is robust against systematic errors in both driving intensity and frequency, as well as against thermal Markovian noises. Our work presents an extendable approach for generating two-mode squeezed states between indirectly coupled bosonic modes.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131372"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.physleta.2026.131370
Miguel A. Medina-Armendariz , Rubab Shabir , Guo-Hua Sun , Shi-Hai Dong
We investigate quantum control in a hybrid optomechanical system consisting of a V-type three-level atom, an optical cavity, and a mechanical resonator, operating under non-resonant driving conditions. Through radiation-pressure coupling, the mechanical oscillator mediates the interaction between the atomic and photonic subsystems, enabling the generation of robust multipartite entanglement. A master-equation analysis uncovers a novel parameter regime characterized by pronounced mechanical squeezing and high-fidelity quantum state transfer. In particular, the squeezed state of the mechanical oscillator, produced via coupling to a squeezed phononic reservoir, is periodically mapped onto the thermal cavity field. Our results demonstrate that nonclassical states–such as squeezed states–can be transferred periodically and with high efficiency under low thermal excitation, highlighting the coherence-preserving capabilities of the proposed protocol.
{"title":"Study of squeezing and entanglement dynamics in a non-resonant three-level atom–optomechanical hybrid system","authors":"Miguel A. Medina-Armendariz , Rubab Shabir , Guo-Hua Sun , Shi-Hai Dong","doi":"10.1016/j.physleta.2026.131370","DOIUrl":"10.1016/j.physleta.2026.131370","url":null,"abstract":"<div><div>We investigate quantum control in a hybrid optomechanical system consisting of a <em>V</em>-type three-level atom, an optical cavity, and a mechanical resonator, operating under non-resonant driving conditions. Through radiation-pressure coupling, the mechanical oscillator mediates the interaction between the atomic and photonic subsystems, enabling the generation of robust multipartite entanglement. A master-equation analysis uncovers a novel parameter regime characterized by pronounced mechanical squeezing and high-fidelity quantum state transfer. In particular, the squeezed state of the mechanical oscillator, produced via coupling to a squeezed phononic reservoir, is periodically mapped onto the thermal cavity field. Our results demonstrate that nonclassical states–such as squeezed states–can be transferred periodically and with high efficiency under low thermal excitation, highlighting the coherence-preserving capabilities of the proposed protocol.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"574 ","pages":"Article 131370"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
High figure of merit (FoM) sensing relies on the field localization effects created by metasurface designs. The Bound State in the Continuum (BIC) must be broken into a quasi-BIC to leverage its ability to enhance light-matter interaction. This paper proposes a tetramer-based all-dielectric metasurface operating in the near-infrared band, which achieves the transition from a BIC to a quasi-BIC mode by breaking specific structural symmetries. We employ multipolar decomposition theory to reveal the nature of its resonance mode. Through numerical calculations, we analyze in detail the coupling relationship between the discrete eigenmode and the external continuum during the symmetry-breaking process. Furthermore, the optical properties of the excited high-Q quasi-BIC are analyzed using the time-domain coupled-mode theory. Structural parameters are optimized to obtain superior sensing characteristics. The metasurface structure proposed herein can be utilized for designing high-FoM sensors and holds significant application prospects in fields such as biomedical health monitoring.
{"title":"Realization of high-figure-of-merit sensing on tetrameric all-dielectric metasurfaces: Excitation of quasi-BIC through symmetry breaking","authors":"Ying Chen, Zhongyao Wang, Haoliang Zhou, Zhe Han, Xin Luo, Liyong Niu, Dandan Zhu","doi":"10.1016/j.physleta.2026.131378","DOIUrl":"10.1016/j.physleta.2026.131378","url":null,"abstract":"<div><div>High figure of merit (FoM) sensing relies on the field localization effects created by metasurface designs. The Bound State in the Continuum (BIC) must be broken into a quasi-BIC to leverage its ability to enhance light-matter interaction. This paper proposes a tetramer-based all-dielectric metasurface operating in the near-infrared band, which achieves the transition from a BIC to a quasi-BIC mode by breaking specific structural symmetries. We employ multipolar decomposition theory to reveal the nature of its resonance mode. Through numerical calculations, we analyze in detail the coupling relationship between the discrete eigenmode and the external continuum during the symmetry-breaking process. Furthermore, the optical properties of the excited high-<em>Q</em> quasi-BIC are analyzed using the time-domain coupled-mode theory. Structural parameters are optimized to obtain superior sensing characteristics. The metasurface structure proposed herein can be utilized for designing high-FoM sensors and holds significant application prospects in fields such as biomedical health monitoring.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131378"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-14DOI: 10.1016/j.physleta.2026.131373
Chuanfu Li , Haoxuan Li , Zhenjie Su , Honggang Zhang , Ping Wang , Liufang Chen , Yangshun Lan , Chunfeng Dong
One key characteristic of an intriguing moiré superlattice formed by interlayer-twisted bilayer material is the emergence of low-energy ultra-flat bands. The stability of such band flattening effect should be evaluated for practical applications. An interlayer-twisted α-In2Se3 bilayer with end-to-end antiferroelectric polarization (AFE-1-α-In2Se3 moiré superlattice) exhibits ultra-flat top valence band that is insensitive to the moiré period due to strong localization of electronic states near the interlayer interfaces. Here, we investigate the stability of the band flattening effect in AFE-1-α-In2Se3 moiré superlattice against In/Se vacancies, using a simple defect model based on first-principles calculations. The results reveal that the band flattening effect remains robust, although vacancies modulate the electronic states. This robustness primarily originates from negative charges localized near the interlayer interfaces, emphasizing the key role of interface-localized electronic states in sustaining band flattening effect and demonstrating the potential of such band flattening effect in AFE-1-α-In2Se3 moiré superlattice for practical applications.
{"title":"The stability of band flattening effect against In/Se vacancy in antiferroelectric α-In2Se3 bilayer moiré superlattice","authors":"Chuanfu Li , Haoxuan Li , Zhenjie Su , Honggang Zhang , Ping Wang , Liufang Chen , Yangshun Lan , Chunfeng Dong","doi":"10.1016/j.physleta.2026.131373","DOIUrl":"10.1016/j.physleta.2026.131373","url":null,"abstract":"<div><div>One key characteristic of an intriguing moiré superlattice formed by interlayer-twisted bilayer material is the emergence of low-energy ultra-flat bands. The stability of such band flattening effect should be evaluated for practical applications. An interlayer-twisted α-In<sub>2</sub>Se<sub>3</sub> bilayer with end-to-end antiferroelectric polarization (AFE-1-α-In<sub>2</sub>Se<sub>3</sub> moiré superlattice) exhibits ultra-flat top valence band that is insensitive to the moiré period due to strong localization of electronic states near the interlayer interfaces. Here, we investigate the stability of the band flattening effect in AFE-1-α-In<sub>2</sub>Se<sub>3</sub> moiré superlattice against In/Se vacancies, using a simple defect model based on first-principles calculations. The results reveal that the band flattening effect remains robust, although vacancies modulate the electronic states. This robustness primarily originates from negative charges localized near the interlayer interfaces, emphasizing the key role of interface-localized electronic states in sustaining band flattening effect and demonstrating the potential of such band flattening effect in AFE-1-α-In<sub>2</sub>Se<sub>3</sub> moiré superlattice for practical applications.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131373"},"PeriodicalIF":2.6,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-14DOI: 10.1016/j.physleta.2026.131368
Duong Dai Phuong , Hua Xuan Dat
Beryllium (Be) is an alkaline earth metal that plays an important role in the aerospace and nuclear industries. Today, with advanced and modern technology, scientists have discovered that Be exists in two phases: body-centred cubic (BCC) and hexagonal close-packed (HCP). The BCC - Be is stable under extreme conditions up to 1000 GPa. The phase transition pressure of Be from the hexagonal close-packed (HCP) structure to the body-centred cubic (BCC) structure occurs within the range of 386 GPa at T = 300 K. Here, we use the statistical moment method to construct the equation of state and the multiphase thermodynamic properties of Be at high pressures. And, we determine the phase-transition pressure of Be through the Gibbs thermodynamic potential, along with structural and thermodynamic quantities such as density, volume, thermal expansion coefficient, entropy, isochoric and isobaric heat capacities, and the Debye temperature of Be, while fully accounting for the influence of anharmonic effects. Combined with the Lindemann criterion, we calculate and determine the solid-liquid phase transition boundary of Be up to 600 GPa. Our computational results are of particular significance for research programs related to the thermonuclear applications of beryllium and the development of Tokamak devices.
{"title":"The phase transition and thermodynamic properties of beryllium at high temperatures and pressures","authors":"Duong Dai Phuong , Hua Xuan Dat","doi":"10.1016/j.physleta.2026.131368","DOIUrl":"10.1016/j.physleta.2026.131368","url":null,"abstract":"<div><div>Beryllium (Be) is an alkaline earth metal that plays an important role in the aerospace and nuclear industries. Today, with advanced and modern technology, scientists have discovered that Be exists in two phases: body-centred cubic (BCC) and hexagonal close-packed (HCP). The BCC - Be is stable under extreme conditions up to 1000 GPa. The phase transition pressure of Be from the hexagonal close-packed (HCP) structure to the body-centred cubic (BCC) structure occurs within the range of 386 GPa at <em>T</em> = 300 K. Here, we use the statistical moment method to construct the equation of state and the multiphase thermodynamic properties of Be at high pressures. And, we determine the phase-transition pressure of Be through the Gibbs thermodynamic potential, along with structural and thermodynamic quantities such as density, volume, thermal expansion coefficient, entropy, isochoric and isobaric heat capacities, and the Debye temperature of Be, while fully accounting for the influence of anharmonic effects. Combined with the Lindemann criterion, we calculate and determine the solid-liquid phase transition boundary of Be up to 600 GPa. Our computational results are of particular significance for research programs related to the thermonuclear applications of beryllium and the development of Tokamak devices.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131368"},"PeriodicalIF":2.6,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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