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Dynamical spin susceptibility in La2CuO4 studied by resonant inelastic x-ray scattering 用共振非弹性x射线散射研究La2CuO4的动态自旋磁化率
Pub Date : 2020-09-27 DOI: 10.1103/PhysRevB.103.224427
H. Robarts, M. García-Fernández, J. Li, A. Nag, A. Walters, N. E. Headings, S. Hayden, K. Zhou
Resonant inelastic X-ray scattering (RIXS) is a powerful probe of elementary excitations in solids. It is now widely applied to study magnetic excitations. However, its complex cross-section means that RIXS has been more difficult to interpret than inelastic neutron scattering (INS). Here we report high-resolution RIXS measurements of magnetic excitations of La2CuO4, the antiferromagnetic parent of one system of high-temperature superconductors. At high energies (~2 eV), the RIXS spectra show angular-dependent dd orbital excitations which are found to be in good agreement with single-site multiplet calculations. At lower energies (<0.3 eV), we show that the wavevector-dependent RIXS intensities are proportional to the product of the single-ion spin-flip cross section and the dynamical susceptibility of the spin-wave excitations. When the spin-flip crosssection is dividing out, the RIXS magnon intensities show a remarkable resemblance to INS data. Our results show that RIXS is a quantitative probe the dynamical spin susceptibility in cuprate and therefore should be used for quantitative investigation of other correlated electron materials.
共振非弹性x射线散射(RIXS)是固体中基本激发的有力探测手段。它现在被广泛应用于研究磁激励。然而,其复杂的截面意味着RIXS比非弹性中子散射(INS)更难解释。在这里,我们报告了高分辨率的RIXS测量La2CuO4的磁激发,La2CuO4是一个高温超导体系统的反铁磁母。在高能量(~ 2ev)下,RIXS光谱显示出角相关的dd轨道激发,这与单点多重星的计算结果很好地吻合。在较低的能量(<0.3 eV)下,我们发现与波矢量相关的RIXS强度与单离子自旋翻转截面和自旋波激发的动态磁化率的乘积成正比。当自旋翻转截面分开时,RIXS的磁振子强度显示出与INS数据的惊人相似。结果表明,RIXS是铜中动态自旋磁化率的定量探针,因此可以用于其他相关电子材料的定量研究。
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引用次数: 4
Comparative study of the density matrix embedding theory for Hubbard models Hubbard模型密度矩阵嵌入理论的比较研究
Pub Date : 2020-09-24 DOI: 10.1103/physrevb.102.235111
M. Kawano, C. Hotta
We examine the performance of the density matrix embedding theory (DMET) recently proposed in [G. Knizia and G. K.-L. Chan, Phys. Rev. Lett. 109, 186404 (2012)]. The core of this method is to find a proper one-body potential that generates a good trial wave function for projecting a large scale original Hamiltonian to a local subsystem with a small number of basis. The resultant ground state of the projected Hamiltonian can locally approximate the true ground state. However, the lack of the variational principle makes it difficult to judge the quality of the choice of the potential. Here we focus on the entanglement spectrum (ES) as a judging criterion; accurate evaluation of the ES guarantees that the corresponding reduced density matrix well reproduces all physical quantities on the local subsystem. We apply the DMET to the Hubbard model on the one-dimensional chain, zigzag chain, and triangular lattice and test several variants of potentials and cost functions. It turns out that a symmetric potential reproduces the ES of the phase that continues from a noninteracting limit. The Mott transition as well as symmetry-breaking transitions can be detected by the singularities in the ES. However, the details of the ES in the strongly interacting parameter region depends much on these choices, meaning that the present algorithm allowing for numerous variants of the DMET is insufficient to fully fix the quantum many-body problem.
本文研究了密度矩阵嵌入理论(DMET)的性能。克尼齐亚和g.k.l。陈、phy。生物工程学报,2009,(5):391 - 391。该方法的核心是寻找一个合适的单体势,产生一个好的试波函数,将大尺度原始哈密顿量投影到具有少量基的局部子系统。投影哈密顿量的所得基态可以局部近似真实基态。然而,由于变分原理的缺乏,使得对电势选择质量的判断变得困难。本文重点讨论了纠缠谱(ES)作为判断标准;ES的准确评估保证了相应的约简密度矩阵能很好地再现局部子系统上的所有物理量。我们将DMET应用于一维链、之字形链和三角形晶格上的Hubbard模型,并测试了几种势能函数和成本函数的变体。结果是对称势再现了从非相互作用极限继续的相的ES。Mott跃迁和对称破缺跃迁可以通过ES中的奇点来检测。然而,强相互作用参数区域ES的细节在很大程度上取决于这些选择,这意味着目前允许DMET的众多变体的算法不足以完全解决量子多体问题。
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引用次数: 2
Spatial locality of electronic correlations in LiFeAs LiFeAs中电子相关的空间局部性
Pub Date : 2020-09-22 DOI: 10.1103/PHYSREVB.103.155107
Minjae Kim, H. Miao, Sang-Jun Choi, M. Zingl, A. Georges, G. Kotliar
We address the question of the degree of spatial non-locality of the self energy in the iron-based superconductors, a subject which is receiving considerable attention. Using LiFeAs as a prototypical example, we extract the self energy from angular-resolved photoemission spectroscopy (ARPES) data. We use two distinct electronic structure references: density functional theory in the local density approximation and linearized quasiparticle self consistent GW (LQSGW). We find that in the LQSGW reference, spatially local dynamical correlations provide a consistent description of the experimental data, and account for some surprising aspects of the data such as the substantial out of plane dispersion of the electron Fermi surface having dominant xz/yz character. Hall effect and resistivity data are shown to be consistent with the proposed description.
我们讨论了铁基超导体中自能的空间非定域性程度问题,这是一个受到广泛关注的课题。以LiFeAs为原型,从角分辨光发射光谱(ARPES)数据中提取自能。我们使用了两种不同的电子结构参考:局部密度近似中的密度泛函理论和线性化准粒子自洽GW (LQSGW)。我们发现,在LQSGW参考文献中,空间局部动力学相关性提供了对实验数据的一致描述,并解释了数据的一些令人惊讶的方面,例如电子费米表面的大量面外色散具有主导的xz/yz特征。霍尔效应和电阻率数据与提出的描述一致。
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引用次数: 4
Magnetic mixed valent semimetal EuZnSb2 with Dirac states in the band structure 带结构中具有狄拉克态的磁性混合价半金属EuZnSb2
Pub Date : 2020-09-22 DOI: 10.1103/PhysRevResearch.2.033462
Aifeng Wang, S. Baranets, Yu Liu, X. Tong, E. Stavitski, Jing Zhang, Y. Chai, W. Yin, S. Bobev, C. Petrovic
We report discovery of new antiferromagnetic semimetal EuZnSb$_2$, obtained and studied in the form of single crystals. Electric resistivity, magnetic susceptibility and heat capacity indicate antiferromagnetic order of Eu with $T_N$ = 20 K. The effective moment of Eu$^{2+}$ inferred from the magnetization and specific heat measurement is 3.5 $mu_B$, smaller than the theoretical value of Eu$^{2+}$ due to presence of both Eu$^{3+}$ and Eu$^{2+}$. Magnetic field-dependent resistivity measurements suggest dominant quasi two dimensional Fermi surfaces whereas the first-principle calculations point to the presence of Dirac fermions. Therefore, EuZnSb$_2$ could represent the first platform to study the interplay of dynamical charge fluctuations, localized magnetic 4$f$ moments and Dirac states with Sb orbital character.
本文报道了以单晶形式获得和研究的新型反铁磁半金属EuZnSb$_2$的发现。当T_N = 20 K时,Eu的电阻率、磁化率和热容量均为反铁磁序。由磁化强度和比热测量推断出的Eu$^{2+}$的有效矩为3.5 $mu_B$,由于Eu$^{3+}$和Eu$^{2+}$的存在而小于Eu$^{2+}$的理论值。磁场相关的电阻率测量表明,准二维费米面占主导地位,而第一性原理计算则指出狄拉克费米子的存在。因此,EuZnSb$_2$可以作为研究动态电荷波动、局域磁矩和具有Sb轨道特征的狄拉克态相互作用的第一个平台。
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引用次数: 8
Influence Matrix Approach to Many-Body Floquet Dynamics 多体Floquet动力学的影响矩阵法
Pub Date : 2020-09-21 DOI: 10.1103/PhysRevX.11.021040
A. Lerose, M. Sonner, D. Abanin
In this work, we introduce an approach to study quantum many-body dynamics, inspired by the Feynman-Vernon influence functional. Focusing on a family of interacting, Floquet spin chains, we consider a Keldysh path-integral description of the dynamics. The central object in our approach is the influence matrix (IM), which describes the effect of the system on the dynamics of a local subsystem. For translationally invariant models, we formulate a self-consistency equation for the influence matrix. For certain special values of the model parameters, we obtain an exact solution which represents a perfect dephaser (PD). Physically, a PD corresponds to a many-body system that acts as a perfectly Markovian bath on itself: at each period, it measures every spin. For the models considered here, we establish that PD points include dual-unitary circuits investigated in recent works. In the vicinity of PD points, the system is not perfectly Markovian, but rather acts as a bath with a short memory time. In this case, we demonstrate that the self-consistency equation can be solved using matrix-product states (MPS) methods, as the IM temporal entanglement is low. A combination of analytical insights and MPS computations allows us to characterize the structure of the influence matrix in terms of an effective "statistical-mechanics" description. We finally illustrate the predictive power of this description by analytically computing how quickly an embedded impurity spin thermalizes. The influence matrix approach formulated here provides an intuitive view of the quantum many-body dynamics problem, opening a path to constructing models of thermalizing dynamics that are solvable or can be efficiently treated by MPS-based methods, and to further characterizing quantum ergodicity or lack thereof.
在这项工作中,我们引入了一种受费曼-弗农影响泛函启发的研究量子多体动力学的方法。聚焦于一类相互作用的Floquet自旋链,我们考虑动力学的Keldysh路径积分描述。我们方法的中心对象是影响矩阵(IM),它描述了系统对局部子系统动力学的影响。对于平移不变模型,我们给出了影响矩阵的自洽方程。对于模型参数的某些特殊值,我们得到了一个精确解,它表示一个完美的消相器。从物理上讲,PD对应于一个多体系统,它本身就像一个完美的马尔可夫浴池:在每个周期,它测量每一次旋转。对于这里考虑的模型,我们建立了PD点包括最近研究的双酉电路。在PD点附近,系统不是完全马尔可夫的,而是一个具有短记忆时间的浴池。在这种情况下,我们证明了自洽方程可以用矩阵积态(MPS)方法求解,因为IM的时间纠缠很低。分析见解和MPS计算的结合使我们能够根据有效的“统计力学”描述来表征影响矩阵的结构。我们最后通过分析计算嵌入杂质自旋的热化速度来说明这种描述的预测能力。本文提出的影响矩阵方法为量子多体动力学问题提供了一个直观的视角,为构建可解的或可通过基于mps的方法有效处理的热化动力学模型开辟了一条道路,并进一步表征量子遍历性或缺乏遍历性。
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引用次数: 57
Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction 具有本征吸引相互作用的一维费米气体的费米子宇称隙和指数基态简并
Pub Date : 2020-09-21 DOI: 10.1103/PHYSREVB.102.125135
Monalisa Singh Roy, Manoranjan Kumar, J. Sau, S. Tewari
We examine the properties of a one-dimensional (1D) Fermi gas with attractive intrinsic (Hubbard) interactions in the presence of spin-orbit coupling and Zeeman field by numerically computing the pair binding energy, excitation gap, and susceptibility to local perturbations using the density matrix renormalization group. Such a system can, in principle, be realized in a system of ultracold atoms confined in a 1D optical lattice. We note that, in the presence of spatial interfaces introduced by a smooth parabolic potential, the pair binding and excitation energy of the system decays exponentially with the system size, pointing to the existence of an exponential ground state degeneracy, and is consistent with recent works. However, the susceptibility of the ground state degeneracy of this number-conserving system to local impurities indicates that the energy gap vanishes as a power law with the system size in the presence of local perturbations. We compare this system with the more familiar system of an Ising antiferromagnet in the presence of a transverse field realized with Rydberg atoms and argue that the exponential splitting in the clean number-conserving 1D Fermi system is similar to a phase with only conventional order.
在自旋轨道耦合和塞曼场存在的情况下,我们通过使用密度矩阵重整化群数值计算对结合能、激发间隙和对局部扰动的敏感性,研究了具有吸引本征相互作用的一维费米气体的性质。原则上,这种系统可以在一维光学晶格中的超冷原子系统中实现。我们注意到,在光滑抛物势引入的空间界面的存在下,系统的对结合能和激发能随系统大小呈指数衰减,表明存在指数基态简并,这与最近的研究结果一致。然而,这种守恒系统的基态简并对局部杂质的敏感性表明,在存在局部扰动的情况下,能隙随系统大小的幂律而消失。我们将该系统与我们更熟悉的伊辛反铁磁体系统进行了比较,在Rydberg原子实现的横向场存在下,我们认为干净守恒数的一维费米系统中的指数分裂类似于只有常规秩序的相。
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引用次数: 0
Electron-phonon hydrodynamics 电子声子流体动力学
Pub Date : 2020-09-21 DOI: 10.1103/PhysRevB.103.155128
Xiao-Li Huang, A. Lucas
We develop the theory of hydrodynamics of an isotropic Fermi liquid of electrons coupled to isotropic acoustic phonons, assuming that umklapp processes may be neglected. At low temperatures, the fluid is approximately Galilean invariant; at high temperatures, the fluid is nearly relativistic; at intermediate temperatures, there are seven additional temperature regimes with unconventional thermodynamic properties and hydrodynamic transport coefficients in a three-dimensional system. We predict qualitative signatures of electron-phonon fluids in incoherent transport coefficients, shear and Hall viscosity, and plasmon dispersion relations. Our theory may be relevant for numerous quantum materials where strong electron-phonon scattering has been proposed to underlie a hydrodynamic regime, including $mathrm{WTe}_2$, $mathrm{WP}_2$, and $mathrm{PtSn}_4$.
我们发展了电子与各向同性声子耦合的各向同性费米液体的流体力学理论,假设umklapp过程可以忽略。在低温下,流体近似为伽利略不变量;在高温下,流体几乎是相对论性的;在中等温度下,三维系统中存在7种具有非常规热力学性质和流体动力输运系数的附加温度区。我们预测了电子-声子流体在非相干输运系数、剪切和霍尔粘度以及等离子体色散关系中的定性特征。我们的理论可能与许多量子材料有关,其中强电子-声子散射已被提出作为流体动力学体系的基础,包括$ mathm {WTe}_2$, $ mathm {WP}_2$和$ mathm {PtSn}_4$。
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引用次数: 23
Floquet dynamical phase transition and entanglement spectrum Floquet动态相变与纠缠谱
Pub Date : 2020-09-20 DOI: 10.1103/PhysRevA.103.012204
R. Jafari, A. Akbari
We explore both pure and mixed states Floquet dynamical quantum phase transitions (FDQFTs) in the one-dimensional p-wave superconductor with a time-driven pairing phase. In the Fourier space, the model is recast to the non-interacting quasi-spins subjected to a time-dependent effective magnetic field. We show that FDQFTs occur within a range of driving frequency without resorting to any quenches. Moreover, FDQFTs appear in the region where quasi-spins are in the resonance regime. In the resonance regime, the population completely cycles the population between the spin down and up states. Additionally, we study the conditions for the appearance of FDQFTs using the entanglement spectrum and purity entanglement measure. Our results imply that the entanglement spectrum can truly capture the resonance regime where FDQFTs occur. Particularly, the dynamical topological region results in the degeneracy of the entanglement spectrum. It is shown that the boundary of the driven frequency range, over which the system reveals FDQFTs, signaled by the purity entanglement measure.
研究了一维p波超导体中纯态和混合态的Floquet动态量子相变(FDQFTs)。在傅里叶空间中,模型被重铸为受时变有效磁场作用的非相互作用的准自旋。我们发现fdqft发生在驱动频率范围内而不需要任何淬火。此外,fdqft出现在准自旋处于共振区的区域。在共振状态下,总体在上下自旋状态之间完全循环。此外,我们还利用纠缠谱和纯度纠缠测量研究了fdqft产生的条件。我们的结果表明,纠缠谱可以真实地捕捉到发生fdqft的共振区。特别是,动态拓扑区域导致了纠缠谱的简并。结果表明,系统显示fdqft的驱动频率范围的边界由纯度纠缠度量表示。
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引用次数: 27
Direct and ultrafast probing of quantum many-body interaction and Mott-insulator transition through coherent two-dimensional spectroscopy 利用相干二维光谱直接超快探测量子多体相互作用和莫特-绝缘体跃迁
Pub Date : 2020-09-18 DOI: 10.1103/PhysRevB.104.115105
N. Phuc, P. Q. Trung
Interactions between particles in quantum many-body systems play a crucial role in determining the electric, magnetic, optical, and thermal properties of the system. The recent progress in the laser-pulse technique has enabled the manipulations and measurements of physical properties on ultrafast timescales. Here, we propose a method for the direct and ultrafast probing of quantum many-body interaction through coherent two-dimensional (2D) spectroscopy. Up to a moderate interaction strength, the inter-particle interaction manifests itself in the emergence of off-diagonal peaks in the 2D spectrum before all the peaks coalesce into a single diagonal peak as the system approaches the Mott-insulating phase in the strongly interacting regime. The evolution of the 2D spectrum as a function of the time delay between the second and third laser pulses can provide important information on the ultrafast time variation of the interaction.
在量子多体系统中,粒子之间的相互作用在决定系统的电、磁、光学和热性质方面起着至关重要的作用。激光脉冲技术的最新进展使得在超快时间尺度上操纵和测量物理性质成为可能。在这里,我们提出了一种通过相干二维(2D)光谱直接超快探测量子多体相互作用的方法。在中等强度的相互作用下,粒子间的相互作用表现为在二维光谱中出现非对角线峰,然后在强相互作用区,当系统接近莫特绝缘相时,所有的峰合并成一个对角线峰。二维光谱随第二和第三个激光脉冲之间的时间延迟的演化可以提供相互作用的超快时间变化的重要信息。
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引用次数: 1
Ferrimagnetic 120∘magnetic structure inCu2OSO4 120°磁性结构inCu2OSO4
Pub Date : 2020-09-18 DOI: 10.1103/PhysRevB.102.094422
V. Favre, G. Tucker, C. Ritter, R. Sibille, P. Manuel, M. Frontzek, M. Kriener, Lin Yang, H. Berger, A. Magrez, N. Casati, I. Živković, H. Rønnow
We report magnetic properties of a 3d$^9$ (Cu$^{2+}$) magnetic insulator Cu2OSO4 measured on both powder and single crystal. The magnetic atoms of this compound form layers, whose geometry can be described either as a system of chains coupled through dimers or as a Kagom'e lattice where every 3rd spin is replaced by a dimer. Specific heat and DC-susceptibility show a magnetic transition at 20 K, which is also confirmed by neutron scattering. Magnetic entropy extracted from the specific heat data is consistent with a $S=1/2$ degree of freedom per Cu$^{2+}$, and so is the effective moment extracted from DC-susceptibility. The ground state has been identified by means of neutron diffraction on both powder and single crystal and corresponds to a $sim120$ degree spin structure in which ferromagnetic intra-dimer alignment results in a net ferrimagnetic moment. No evidence is found for a change in lattice symmetry down to 2 K. Our results suggest that sample represents a new type of model lattice with frustrated interactions where interplay between magnetic order, thermal and quantum fluctuations can be explored.
本文报道了三维$^9$ (Cu$^{2+}$)磁绝缘体Cu2OSO4在粉末和单晶上的磁性能。这种化合物的磁性原子形成层,其几何结构可以描述为通过二聚体耦合的链系统或每3个自旋被二聚体取代的Kagom'e晶格。比热和直流磁化率在20k处显示出磁跃迁,中子散射也证实了这一点。从比热数据中提取的磁熵符合每Cu$^{2+}$ S=1/2$的自由度,从直流磁化率中提取的有效矩也是如此。通过对粉末和单晶的中子衍射确定了基态,基态对应于一个$sim120$度的自旋结构,其中铁磁内二聚体排列导致净铁磁矩。没有证据表明晶格对称性在2k以下会发生变化。我们的研究结果表明,sample 代表了一种新型的模型晶格,具有受挫的相互作用,可以探索磁序,热和量子涨落之间的相互作用。
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引用次数: 1
期刊
arXiv: Strongly Correlated Electrons
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