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Magnetic phase transition and continuous spin switching in a high-entropy orthoferrite single crystal 高熵正铁氧体单晶中的磁相变和连续自旋切换
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1343-x
Wanting Yang, Shuang Zhu, Xiong Luo, Xiaoxuan Ma, Chenfei Shi, Huan Song, Zhiqiang Sun, Yefei Guo, Yuriy Dedkov, Baojuan Kang, Jin-Ke Bao, Shixun Cao

Rare-earth orthoferrite REFeO3 (where RE is a rare-earth ion) is gaining interest. We created a high-entropy orthoferrite (Tm0.2Nd0.2Dy0.2Y0.2Yb0.2) FeO3 (HEOR) by doping five RE ions in equimolar ratios and grew the single crystal by optical floating zone method. It strongly tends to form a single-phase structure stabilized by high configurational entropy. In the low-temperature region (11.6–14.4 K), the spin reorientation transition (SRT) of Γ2 (Fx, Cy, Gz)–Γ24–Γ4 (Gx, Ay, Fz) occurs. The weak ferromagnetic (FM) moment, which comes from the Fe sublattices distortion, rotates from the a- to c-axis. The two-step dynamic processes (Γ2–Γ24–r4) are identified by AC susceptibility measurements. SRT in HEOR can be tuned in the range of 50–60000 Oe, which is an order of magnitude larger than that of orthoferrites in the peer system, making it a candidate for high-field spin sensing. Typical spin-switching (SSW) and continuous spin-switching (CSSW) effects occur under low magnetic fields due to the strong interactions between RE–Fe sublattices. The CSSW effect is tunable between 20–50 Oe, and hence, HEOR potentially can be applied to spin modulation devices. Furthermore, because of the strong anisotropy of magnetic entropy change (−ΔSm) and refrigeration capacity (RC) based on its high configurational entropy, HEOR is expected to provide a novel approach for refrigeration by altering the orientations of the crystallographic axes (anisotropic configurational entropy).

稀土正铁 REFeO3(其中 RE 是一种稀土离子)正受到越来越多的关注。我们以等摩尔比掺杂了五种稀土离子,制备了高熵正铁(Tm0.2Nd0.2Dy0.2Y0.2Yb0.2)FeO3(HEOR),并采用光学浮区法生长了单晶。它在高构型熵的作用下强烈倾向于形成单相结构。在低温区(11.6-14.4 K),发生了Γ2(Fx、Cy、Gz)-Γ24-Γ4(Gx、Ay、Fz)的自旋重新定向转变(SRT)。来自铁亚晶格畸变的弱铁磁(FM)力矩从 a 轴旋转到 c 轴。两步动态过程(Γ2-Γ24-r4)是通过交流电感测量确定的。HEOR 中的 SRT 可在 50-60000 Oe 的范围内进行调整,这比对等系统中的正铁氧体大一个数量级,使其成为高场自旋传感的候选材料。典型的自旋切换(SSW)和连续自旋切换(CSSW)效应是由于 RE-Fe 亚晶格之间的强相互作用而在低磁场下发生的。CSSW 效应在 20-50 Oe 之间可调,因此 HEOR 有可能应用于自旋调制器件。此外,由于磁熵变化(-ΔSm)具有很强的各向异性,而且制冷能力(RC)基于其高构型熵,HEOR有望通过改变晶体轴的取向(各向异性构型熵)为制冷提供一种新方法。
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引用次数: 0
Strong anisotropy of thermal transport in the monolayer of a new puckered phase of PdSe 钯硒新皱褶相单层热传输的强各向异性
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1354-7
Zheng Shu, Huifang Xu, Hejin Yan, Yongqing Cai

We examine the electronic and transport properties of a new phase PdSe monolayer with a puckered structure calculated by first-principles and Boltzmann transport equation. The spin–orbit coupling is found to play a negligible effect on the electronic properties of PdSe monolayer. The lattice thermal conductivity of PdSe monolayer exhibits remarkable anisotropic characteristic due to anisotropic phonon group velocity along different directions and its intrinsic structure anisotropy. The compromised electronic mobility despite a relatively low thermal conduction results in a moderate ZT value but significantly anisotropic thermoelectric performance in single-layer PdSe. The present work suggests that the remarkable thermal transport anisotropy of PdSe monolayer can be used for thermal management, and enhance the scope of possibilities for heat flow manipulation in PdSe based devices. The sizeable puckered cages and wiggling lattice implies it an ideal platform for ionic and molecular engineering for thermoelectronic applications.

我们研究了通过第一原理和玻尔兹曼输运方程计算的具有皱褶结构的新相钯硒单层的电子和输运性质。研究发现,自旋轨道耦合对钯硒单层的电子特性影响微乎其微。由于各向异性的声子群速度及其固有结构的各向异性,PdSe 单层的晶格热导率表现出显著的各向异性特征。尽管热传导率相对较低,但电子迁移率却受到了影响,因此单层硒化钯的 ZT 值适中,但热电性能却明显各向异性。本研究表明,单层硒化钯的显著热传输各向异性可用于热管理,并提高基于硒化钯的器件中热流操纵的可能性。巨大的皱褶笼子和摆动的晶格意味着它是热电子应用中离子和分子工程的理想平台。
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引用次数: 0
Recent advances in halide perovskite memristors: From materials to applications 卤化物过氧化物忆阻器的最新进展:从材料到应用
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1344-9
Sixian Liu, Jianmin Zeng, Qilai Chen, Gang Liu

With the emergence of the Internet of Things (IoT) and the rapid growth of big data generated by edge devices, there has been a growing need for electronic devices that are capable of processing and transmitting data at low power and high speeds. Traditional Complementary Metal-Oxide-Semiconductor (CMOS) devices are nonvolatile and often limited by their ability for certain IoT applications due to their unnecessary power consumption for data movement in von Neuman architecture-based systems. This has led to a surge in research and development efforts aimed at creating innovative electronic components and systems that can overcome these shortcomings and meet the evolving needs of the information era, which share features such as improved energy efficiency, higher processing speeds, and increased functionality. Memristors are a novel type of electronic device that has the potential to break down the barrier between storage and computing. By storing data and processing information within the same device, memristors can minimize the need for data movement, which allows for faster processing speeds and reduced energy consumption. To further improve the energy efficiency and reliability of memristors, there has been a growing trend toward diversifying the selection of dielectric materials used in memristors. Halide perovskites (HPs) have unique electrical and optical properties, including ion migration, charge trapping effect caused by intrinsic defects, excellent optical absorption efficiency, and high charge mobility, which makes them highly promising in applications of memristors. In this paper, we provide a comprehensive overview of the recent development in resistive switching behaviors of HPs and the underlying mechanisms. Furthermore, we summarize the diverse range of HPs, their respective performance metrics, as well as their applications in various fields. Finally, we critically evaluate the current bottlenecks and possible opportunities in the future research of HP memristors.

随着物联网(IoT)的出现和边缘设备产生的大数据的快速增长,人们越来越需要能够以低功耗和高速度处理和传输数据的电子设备。传统的互补金属氧化物半导体(CMOS)器件是非易失性的,在基于冯-纽曼架构的系统中,由于数据移动时不必要的功耗,其在某些物联网应用中的能力往往受到限制。这导致了研发工作的激增,目的是创造创新的电子元件和系统,克服这些缺点,满足信息时代不断发展的需求,这些需求具有共同的特点,如提高能效、更高的处理速度和更强的功能。Memristors 是一种新型电子设备,有可能打破存储和计算之间的障碍。通过在同一设备中存储数据和处理信息,忆阻器可以最大限度地减少数据移动的需要,从而实现更快的处理速度和更低的能耗。为了进一步提高忆阻器的能效和可靠性,忆阻器中使用的介电材料呈现出多样化的趋势。卤化物过氧化物(HPs)具有独特的电学和光学特性,包括离子迁移、由固有缺陷引起的电荷捕获效应、优异的光吸收效率和高电荷迁移率,因此在忆阻器的应用中大有可为。本文全面概述了 HPs 电阻开关行为的最新发展及其内在机理。此外,我们还总结了各种 HP、它们各自的性能指标以及它们在各个领域的应用。最后,我们批判性地评估了惠普忆阻器目前的瓶颈和未来研究的可能机遇。
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引用次数: 0
Investigations of nuclear chirality at iThemba LABS iThemba LABS 的核手性研究
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1340-0
R. A. Bark, E. A. Lawrie, C. Liu, S. Y. Wang

Progress in the studies of chirality in atomic nuclei at iThemba LABS is reviewed. New regions of chirality, around mass 80 and 190 have been discovered using the AFRODITE array, specifically in the nuclei 74As, 78,80,82Br, 81Kr, and 193,194,198Tl. Many phenomena have been observed, including multiple chiral bands in the same nucleus, the coexistence of octupole correlations and nuclear chirality, and the coexistence of pseudo spin and nuclear chirality. The best example of chiral degeneracy to date was found in 194Tl. The level scheme of 106Ag has been revisited and interpreted in terms of two- and four-quasiparticle bands. Investigations using the particle-rotor model have shown that the fingerprints of chirality in the two-quasiparticle system only can occur in an idealised model description. For systems with a higher number of quasiparticles, the calculations showed that nuclear chirality can persist.

综述了 iThemba 实验室在原子核手性研究方面取得的进展。利用原子核反应堆阵列(AFRODITE),特别是在 74As、78,80,82Br、81Kr 和 193,194,198Tl 核中,发现了质量 80 和 190 左右的手性新区域。已观察到许多现象,包括同一原子核中的多个手性带、八极相关性与核手性共存,以及伪自旋与核手性共存。迄今为止在 194Tl 中发现的手性变性是最好的例子。对 106Ag 的能级方案进行了重新研究,并从二和四准粒子带的角度进行了解释。利用粒子-转子模型进行的研究表明,在理想化的模型描述中,双准粒子系统中的手性指纹只可能出现。对于具有更多类粒子的系统,计算显示核手性可能持续存在。
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引用次数: 0
Progress in the preparation and physical properties of two-dimensional Cr-based chalcogenide materials and heterojunctions 二维铬基铬化物材料和异质结的制备与物理性质研究进展
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1342-y
Xiulian Fan, Ruifeng Xin, Li Li, Bo Zhang, Cheng Li, Xilong Zhou, Huanzhi Chen, Hongyan Zhang, Fangping OuYang, Yu Zhou

Two-dimensional transition metal dichalcogenides (TMDs) exhibit promising application prospects in the domains of electronic devices, optoelectronic devices and spintronic devices due to their distinctive energy band structures and spin-orbit coupling properties. Cr-based chalcogenides with narrow or even zero bandgap, covering from semiconductors to metallic materials, have considerable potential for wide-band photodetection and two-dimensional magnetism. Currently, the preparation of 2D CrXn (X = S, Se, Te) nanosheets primarily relies on chemical vapor deposition (CVD) and molecule beam epitaxy (MBE), which enable the production of high-quality large-area materials. This review article focuses on recent progress of 2D Cr-based chalcogenides, including unique crystal structure of the CrXn system, phase-controlled synthesis, and heterojunction construction. Furthermore, a detailed introduction of room-temperature ferromagnetism and electrical/optoelectronic properties of 2D CrXn is presented. Ultimately, this paper summarizes the challenges associated with utilizing 2D Cr-based chalcogenides in preparation strategies, optoelectronics devices, and spintronic devices while providing further insights.

二维过渡金属二掺杂物(TMDs)因其独特的能带结构和自旋轨道耦合特性,在电子器件、光电器件和自旋电子器件领域展现出广阔的应用前景。从半导体到金属材料,具有窄带隙甚至零带隙的铬基掺杂物在宽带光探测和二维磁学方面具有相当大的潜力。目前,二维 CrXn(X = S、Se、Te)纳米片的制备主要依赖于化学气相沉积(CVD)和分子束外延(MBE),这两种方法可以生产出高质量的大面积材料。这篇综述文章重点介绍了二维铬基铬化物的最新进展,包括 CrXn 系统的独特晶体结构、相控合成和异质结构建。此外,还详细介绍了二维 CrXn 的室温铁磁性和电学/光电特性。最后,本文总结了在制备策略、光电器件和自旋电子器件中利用二维铬基铬化物所面临的挑战,并提出了进一步的见解。
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引用次数: 0
Universal dynamic scaling and Contact dynamics in quenched quantum gases 淬火量子气体中的通用动态缩放和接触动力学
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1341-z
Jia-Nan Cui, Zhengqiang Zhou, Mingyuan Sun

Recently universal dynamic scaling is observed in several systems, which exhibit a spatiotemporal self-similar scaling behavior, analogous to the spatial scaling near phase transition. The latter one arises from the emergent continuous scaling symmetry. Motivated by this, we investigate the possible relation between the scaling dynamics and the continuous scaling symmetry in this paper. We derive a theorem that the scaling invariance of the quenched Hamiltonian and the initial density matrix can lead to the universal dynamic scaling. It is further demonstrated both in a two-body system analytically and in a many-body system numerically. For the latter one, we calculate the dynamics of quantum gases quenched from the zero interaction to a finite interaction via the non-equilibrium high-temperature virial expansion. A dynamic scaling of the momentum distribution appears in certain momentum-time windows at unitarity as well as in the weak interacting limit. Remarkably, this universal scaling dynamics persists approximately with smaller scaling exponents even if the scaling symmetry is fairly broken. Our findings may offer a new perspective to interpret the related experiments. We also study the Contact dynamics in the BEC–BCS crossover. Surprisingly, the half-way time displays a maximum near unitarity while some damping oscillations occur on the BEC side due to the dimer state, which can be used to detect possible two-body bound states in experiments.

最近,在一些系统中观察到了普遍的动态缩放,这些系统表现出一种时空自相似缩放行为,类似于相变附近的空间缩放。后者源于出现的连续缩放对称性。受此启发,我们在本文中研究了缩放动力学与连续缩放对称性之间的可能关系。我们推导出一个定理,即淬火哈密顿和初始密度矩阵的缩放不变性可以导致普遍的动态缩放。我们在双体系统分析和多体系统数值计算中进一步证明了这一点。对于后一种情况,我们通过非平衡高温维里亚式展开计算了量子气体从零相互作用淬火到有限相互作用的动力学过程。动量分布的动态缩放出现在单动量和弱相互作用极限的某些动量-时间窗口中。值得注意的是,即使缩放对称性被相当程度地打破,这种普遍的缩放动态也会以较小的缩放指数近似地持续存在。我们的发现为解释相关实验提供了新的视角。我们还研究了 BEC-BCS 交叉中的接触动力学。令人惊奇的是,半程时间显示出接近单位性的最大值,同时由于二聚态的存在,在BEC一侧出现了一些阻尼振荡,这可以用来探测实验中可能存在的二体束缚态。
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引用次数: 0
Intrinsically asymmetric atomic character regulates piezoelectricity in two-dimensional materials 本质上不对称的原子特性调节二维材料的压电性
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1348-5
Yun-Qin Li, Qi-Wen He, Dai-Song Tang, Xiao Shang, Xiao-Chun Wang

Decreasing of layer thickness causes the decrease of polarization until it disappears due to the existence of depolarization field. Therefore, the search for strong piezoelectric materials is highly desirable for multifunctional ultra-thin piezoelectric devices. Herein, we propose a common strategy for achieving strong piezoelectric materials through the electronic asymmetry induced by the intrinsically asymmetric atomic character of different chalcogen atoms. Accordingly, in the tetrahedral lattice structures, for example, M4X3Y3 (M = Pd/Ni, X/Y = S, Se or Te, X ≠ Y) monolayers are proved to display excellent out-of-plane piezoelectricity. Ni4Se3Te3 possesses the largest piezoelectric coefficient d33 of 61.57 pm/V, which is much larger than that of most 2D materials. Enhancing the electronic asymmetry further increases the out-of-plane piezoelectricity of Janus M4X3Y3 materials. Correspondingly, the out-of-plane piezoelectricity is positively correlated with the ratio of electronegativity difference (Red) and the electric dipole moment (P). This work provides alternative materials for energy harvesting nano-devices or self-energized wearable devices, and supplies a valuable guideline for predicting 2D materials with strong out-of-plane piezoelectricity.

由于去极化场的存在,层厚度的减小会导致极化的减弱直至消失。因此,对于多功能超薄压电器件来说,寻找强压电材料是非常理想的。在此,我们提出了一种实现强压电材料的通用策略,即通过不同钙原原子固有的不对称原子特性引起的电子不对称来实现强压电材料。因此,在四面体晶格结构中,例如 M4X3Y3(M = Pd/Ni,X/Y = S、Se 或 Te,X ≠ Y)单层已被证明具有优异的面外压电性。Ni4Se3Te3 的最大压电系数 d33 为 61.57 pm/V,远远大于大多数二维材料。增强电子不对称性可进一步提高 Janus M4X3Y3 材料的面外压电性。相应地,面外压电性与电负性差(Red)和电偶极矩(P)的比值呈正相关。这项研究为能量收集纳米器件或自供电可穿戴设备提供了替代材料,并为预测具有强平面外压电性的二维材料提供了宝贵的指导。
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引用次数: 0
Parity-dependent skin effects and topological properties in the multilayer nonreciprocal Su–Schrieffer–Heeger structures 多层非互惠苏-施里弗-黑格尔结构中依赖奇偶性的集肤效应和拓扑特性
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1350-y
Jia-Rui Li, Cui Jiang, Han Su, Di Qi, Lian-Lian Zhang, Wei-Jiang Gong

We concentrate on the skin effects and topological properties in the multilayer non-Hermitian Su–Schrieffer–Heeger (SSH) structure, by taking into account the nonreciprocal couplings between the different sublattices in the unit cells. Following the detailed demonstration of the theoretical method, we find that in this system, the skin effects and topological phase transitions induced by nonreciprocal couplings display the apparent parity effect, following the increase of the layer number of this SSH structure. On the one hand, the skin effect is determined by the parity of the layer number of this SSH system, as well as the parity of the band index of the bulk states. On the other hand, for the topological edge modes, such an interesting parity effect can also be observed clearly. Next, when the parameter disorders are taken into account, the zero-energy edge modes in the odd-layer structures tend to be more robust, whereas the other edge modes are easy to be destroyed. In view of these results, it can be ascertained that the findings in this work promote to understand the influences of nonreciprocal couplings on the skin effects and topological properties in the multilayer SSH lattices.

通过考虑单元格中不同子晶格之间的非互易耦合,我们集中研究了多层非ermitian Su-Schrieffer-Heeger (SSH) 结构中的集肤效应和拓扑特性。通过对理论方法的详细论证,我们发现在该系统中,随着 SSH 结构层数的增加,由非互易耦合诱发的集肤效应和拓扑相变显示出明显的奇偶效应。一方面,趋肤效应是由该 SSH 系统层数的奇偶性以及体态带指数的奇偶性决定的。另一方面,对于拓扑边缘模式,也可以清楚地观察到这种有趣的奇偶效应。其次,当考虑到参数紊乱时,奇数层结构中的零能边缘模趋于更稳健,而其他边缘模则容易被破坏。鉴于这些结果,可以确定本研究的发现有助于理解非互易耦合对多层 SSH 晶格的集肤效应和拓扑性质的影响。
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引用次数: 0
Phonon-blockade-based multiple-photon bundle emission in a quadratically coupled optomechanical system 四次耦合光学机械系统中基于声子阻滞的多光子束发射
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1007/s11467-023-1352-9
Ye-Jun Xu, Hong Xie

We propose a scheme to realize antibunched multiple-photon bundles based on phonon blockade in a quadratically coupled optomechanical system. Through adjusting the detunings to match the conditions of phonon blockade in the photon sidebands, we establish super-Rabi oscillation between zero-photon state and multiple-photon states with adjustable super-Rabi frequencies under appropriate single-phonon resonant conditions. Taking the system dissipation into account, we numerically calculate the standard and generalized second-order functions of the cavity mode as well as the quantum trajectories of the state populations with Monte Carlo simulation to confirm that the emitted photons form antibunched multiple-photon bundles. Interestingly, the desirable n-photon states are reconstructed after a direct phonon emission based on phonon blockade, and thus the single-phonon emission heralds the cascade emission of n-photon bundles. Our proposal shows that the optomechanical system can simultaneously behave as antibunched multiple-photon emitter and single-phonon gun. Such a nonclassical source could have potential applications in quantum information science.

我们提出了一种在二次耦合光机械系统中基于声子封锁实现反束多光子束的方案。通过调整解谐以匹配光子边带中的声子封锁条件,我们在适当的单光子共振条件下,在零光子态和多光子态之间建立了频率可调的超拉比振荡。考虑到系统耗散,我们用蒙特卡洛模拟数值计算了空腔模式的标准和广义二阶函数以及态群的量子轨迹,证实发射的光子形成了反束多光子束。有趣的是,理想的 n 光子态是在基于声子封锁的直接声子发射后重建的,因此单声子发射预示着 n 光子束的级联发射。我们的建议表明,光机械系统可以同时充当反束多光子发射器和单光子枪。这种非经典光源可能会在量子信息科学中得到潜在应用。
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引用次数: 0
Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors 通过广义彼得曼因子检测非赫米提系统中的体例外点和边缘例外点
IF 7.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2023-12-07 DOI: 10.1007/s11467-023-1337-8
Yue-Yu Zou, Yao Zhou, Li-Mei Chen, Peng Ye

Non-orthogonality in non-Hermitian quantum systems gives rise to tremendous exotic quantum phenomena, which can be fundamentally traced back to non-unitarity. In this paper, we introduce an interesting quantity (denoted as η) as a new variant of the Petermann factor to directly and efficiently measure non-unitarity and the associated non-Hermitian physics. By tuning the model parameters of underlying non-Hermitian systems, we find that the discontinuity of both η and its first-order derivative (denoted as ∂η) pronouncedly captures rich physics that is fundamentally caused by non-unitarity. More concretely, in the 1D non-Hermitian topological systems, two mutually orthogonal edge states that are respectively localized on two boundaries become non-orthogonal in the vicinity of discontinuity of η as a function of the model parameter, which is dubbed “edge state transition”. Through theoretical analysis, we identify that the appearance of edge state transition indicates the existence of exceptional points (EPs) in topological edge states. Regarding the discontinuity of ∂η, we investigate a two-level non-Hermitian model and establish a connection between the points of discontinuity of ∂η and EPs of bulk states. By studying this connection in more general lattice models, we find that some models have discontinuity of ∂η, implying the existence of EPs in bulk states.

非赫米提量子系统中的非正交性产生了巨大的奇异量子现象,而这些现象从根本上可以追溯到非统一性。在本文中,我们引入了一个有趣的量(记为 η)作为彼得曼因子的新变体,以直接有效地测量非单调性和相关的非赫米提物理学。通过调整底层非ermitian 系统的模型参数,我们发现η 及其一阶导数(表示为∂η)的不连续性明显地捕捉到了从根本上由非单一性引起的丰富物理。更具体地说,在一维非赫米提拓扑系统中,分别定位于两条边界上的两个相互正交的边缘态,在η作为模型参数函数的不连续附近变得非正交,这被称为 "边缘态转换"。通过理论分析,我们发现边缘状态转换的出现表明拓扑边缘状态中存在例外点(EPs)。关于η∂的不连续性,我们研究了一个两级非赫米提模型,并建立了η∂的不连续性点与体态例外点之间的联系。通过在更一般的晶格模型中研究这种联系,我们发现某些模型具有∂η的不连续性,这意味着体态中存在EP。
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引用次数: 1
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