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Antiferromagnetic fluctuations in the one-dimensional Hubbard model 一维哈伯德模型中的反铁磁波动
Pub Date : 2020-12-14 DOI: 10.1063/9.0000019
V. Janiš, A. Klíč, Jiawei Yan
We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency renormalizing the bare interaction. It allows us to control a transition from high to low temperatures as well as from weak to strong-coupling. We show that there is a crossover temperature $T_{0}= texp{-1/Urho(0)}$ for arbitrary interaction $U>0$ and the bare density of states at the Fermi energy $rho(0)>0$. The solution at lower temperatures goes over to strong coupling and approaches a quantum critical point with the diverging staggered susceptibility and a gap in the excitation spectrum at zero temperature.
研究了由增强的反铁磁涨落引起的一维Hubbard模型在半填充附近的低温临界行为。我们使用了一种平均场型近似,具有双粒子自洽性,使裸相互作用重新规范化。它允许我们控制从高温到低温以及从弱耦合到强耦合的转变。我们证明了任意相互作用$U>0$和在费米能量$rho(0)>0$处的裸态密度存在交叉温度$T_{0}= texp{-1/Urho(0)}$。在较低温度下,溶液进入强耦合状态,接近零温度下具有发散的交错磁化率和激发谱间隙的量子临界点。
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引用次数: 1
Molecular dipoles in designer honeycomb lattices 设计蜂窝晶格中的分子偶极子
Pub Date : 2020-12-14 DOI: 10.1103/PHYSREVB.103.165408
N. Boudjada, F. Buessen, A. Paramekanti
Recent advances in ultracold atoms in optical lattices and developments in surface science have allowed for the creation of artificial lattices as well as the control of many-body interactions. Such systems provide new settings to investigate interaction-driven instabilities and non-trivial topology. In this work, we explore the interplay between molecular electric dipoles on a two-dimensional triangular lattice with fermions hopping on the dual decorated honeycomb lattice which hosts Dirac and flat band states. We show that short-range dipole-dipole interaction can lead to ordering into various stripe and vortex crystal ground states. We study these ordered states and their thermal transitions as a function of the interaction range using simulated annealing and Monte Carlo methods. For the special case of zero wavevector ferro-dipolar order, we show that incorporating dipole-electron interactions and integrating out the electrons can lead to a six-fold clock anisotropy for the dipole ordering. Finally, we discuss the impact of the various dipole orders on the electronic band structure and the local tunneling density of states. Our work may be relevant to studies of "molecular graphene" -- CO molecules arranged on the Cu(111) surface -- which have been explored using scanning tunneling spectroscopy, as well as ultracold molecule-fermion mixtures in optical lattices.
光学晶格中超冷原子的最新进展和表面科学的发展使得人工晶格的创建以及多体相互作用的控制成为可能。这样的系统为研究交互驱动的不稳定性和重要的拓扑结构提供了新的设置。在这项工作中,我们探索了二维三角形晶格上的分子电偶极子之间的相互作用,费米子在具有狄拉克态和平带态的双装饰蜂窝晶格上跳跃。我们证明了短程偶极-偶极相互作用可以导致各种条形和涡旋晶体基态的有序。我们使用模拟退火和蒙特卡罗方法研究了这些有序态及其热跃迁作为相互作用范围的函数。对于零波矢量铁偶极有序的特殊情况,我们表明,结合偶极-电子相互作用并积分出电子可以导致偶极有序的六倍时钟各向异性。最后,我们讨论了不同偶极序对电子能带结构和态的局部隧穿密度的影响。我们的工作可能与“分子石墨烯”——排列在Cu(111)表面的CO分子——的研究有关,这些研究已经使用扫描隧道光谱进行了探索,以及光学晶格中的超冷分子-费米子混合物。
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引用次数: 0
Ground-state phase diagram of the one-dimensional t−Js−Jτ model at quarter filling 四分之一填充时一维t−Js−Jτ模型的基态相图
Pub Date : 2020-12-13 DOI: 10.1103/PHYSREVB.103.165115
Yuya Kurebayashi, Hiroki Oshiyama, N. Shibata
We study the ground state of the one-dimensional "$t$-$J_s$-$J_{tau}$ model", which is a variant of the $t$-$J$ model with additional channel degree of freedom. The model is not only a generalization of the $t$-$J$ model but also an effective model of the two-channel Kondo lattice model in the strong coupling region. The low energy excitations and correlation functions are systematically calculated by the density matrix renormalization group (DMRG) method and the ground-state phase diagram at quarter filling consisting of Tomonaga Luttinger liquid, spin-gap state, channel-gap state, insulator, and phase separation is determined. We find that weak channel fluctuations stabilize the spin-gap state, while strong channel fluctuations lead to the transition to the insulator.
本文研究了一维“$t$-$J_s$-$J_{tau}$模型”的基态,该模型是$t$-$J$模型的一种变体,具有额外的通道自由度。该模型不仅是t - J模型的推广,而且是强耦合区域内双通道Kondo晶格模型的有效模型。采用密度矩阵重整群(DMRG)方法系统地计算了低能激发和相关函数,确定了四分之一填充时由Tomonaga Luttinger液体、自旋隙态、通道隙态、绝缘子和相分离组成的基态相图。我们发现弱的通道波动稳定了自旋隙状态,而强的通道波动导致了向绝缘子的过渡。
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引用次数: 0
Colorful points in the XY regime of XXZ quantum magnets XXZ量子磁体XY区域的彩色点
Pub Date : 2020-12-10 DOI: 10.1103/PHYSREVB.103.144414
Santanu Pal, Prakash C. Sharma, Hitesh J. Changlani, Sumiran Pujari
In the $XY$ regime of the $XXZ$ Heisenberg model phase diagram, we demonstrate that the origin of magnetically ordered phases is influenced by the presence of solvable points with exact quantum coloring ground states featuring a quantum-classical correspondence. Using exact diagonalization and density matrix renormalization group calculations, for both the square and the triangular lattice magnets, we show that the ordered physics of the solvable points in the extreme $XY$ regime, at $frac{J_z}{J_perp}=-1$ and $frac{J_z}{J_perp}=-frac{1}{2}$ respectively with $J_perp > 0$, adiabatically extends to the more isotropic regime $frac{J_z}{J_perp} sim 1$. We highlight the projective structure of the coloring ground states to compute the correlators in fixed magnetization sectors which enables an understanding of the features in the static spin structure factors and correlation ratios. These findings are contrasted with an anisotropic generalization of the celebrated one-dimensional Majumdar-Ghosh model, which is also found to be (ground state) solvable. For this model, both exact dimer and three-coloring ground states exist at $frac{J_z}{J_perp}=-frac{1}{2}$ but only the two dimer ground states survive for any $frac{J_z}{J_perp} > -frac{1}{2}$
在$XXZ$海森堡模型相图的$XY$区域中,我们证明了磁有序相的起源受到具有量子-经典对应的精确量子着色基态的可解点的存在的影响。使用精确对角化和密度矩阵重整化群计算,对于正方形和三角形晶格磁体,我们证明了在极端$XY$区域(分别在$frac{J_z}{J_perp}=-1$和$frac{J_z}{J_perp}=-frac{1}{2}$与$J_perp > 0$)的可解点的有序物理绝热扩展到更各向同性的区域$frac{J_z}{J_perp} sim 1$。我们强调了着色基态的投影结构,以计算固定磁化扇区的相关系数,从而可以理解静态自旋结构因素和相关比率的特征。这些发现与著名的一维Majumdar-Ghosh模型的各向异性推广形成对比,该模型也被发现是(基态)可解的。对于这个模型,精确的二聚体基态和三色基态都存在于$frac{J_z}{J_perp}=-frac{1}{2}$,但只有两种二聚体基态存在 $frac{J_z}{J_perp} > -frac{1}{2}$
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引用次数: 5
Evolution of helimagnetic correlations when approaching the quantum critical point of Mn1−xFexSi 接近Mn1 - xFexSi量子临界点时磁相关的演化
Pub Date : 2020-12-09 DOI: 10.1103/PHYSREVRESEARCH.3.013019
C. Pappas, A. Leonov, L. Bannenberg, P. Fouquet, Thomas Wolf, F. Weber
We present a comprehensive investigation of the evolution of helimagnetic correlations in Mn$_{1-x}$Fe$_x$Si with increasing doping. By combining polarised neutron scattering and high resolution Neutron Spin Echo spectroscopy we investigate three samples with $x$=0.09, 0.11 and 0.14, i.e. with compositions on both sides of the concentration $x^* sim 0.11$ where the helimagnetic Bragg peaks disappear and between $x^*$ and the quantum critical concentration $x_C sim 0.17$, where $T_C$ vanishes. We find that the abrupt disappearance of the long range helical periodicity at $x^*$, does not affect the precursor fluctuating correlations. These build up with decreasing temperature in a similar way as for the parent compound MnSi. Also the dynamics bears strong similarities to MnSi. The analysis of our results indicates that frustration, possibly due to achiral RKKY interactions, increases with increasing Fe doping. We argue that this effect explains both the expansion of the precursor phase with increasing $x$ and the abrupt disappearance of long range helimagnetic periodicity at $x^*$.
我们全面研究了Mn$_{1-x}$Fe$_x$Si中随掺杂增加的helmagnetic correlation的演变。通过结合极化中子散射和高分辨率中子自旋回波光谱,我们研究了三个样品,分别为$x$=0.09, 0.11和0.14,即在浓度$x^* sim 0.11$的两侧,helmagnetic Bragg峰消失,以及在$x^*$和量子临界浓度$x_C sim 0.17$之间,$T_C$消失。我们发现$x^*$处的长周期螺旋周期性的突然消失并不影响前驱波动相关性。这些随着温度的降低而增加,其方式与母体化合物MnSi相似。此外,其动态与MnSi具有很强的相似性。我们的结果分析表明,随着Fe掺杂的增加,可能由于非手性RKKY相互作用而引起的受挫感增加。我们认为这一效应既解释了前驱相随着x$的增大而膨胀,又解释了在x^*$处长周期磁周期性的突然消失。
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引用次数: 2
Impact of next-nearest-neighbor hopping on ferromagnetism in diluted magnetic semiconductors 稀释磁性半导体中次近邻跳变对铁磁性的影响
Pub Date : 2020-12-08 DOI: 10.1103/physrevb.102.245112
Sourav Chakraborty, S. Das, K. Pradhan
Being a wide band gap system GaMnN attracted considerable interest after the discovery of highest reported ferromagnetic transition temperature $T_C$ $sim$ 940 K among all diluted magnetic semiconductors. Later it become a debate due to the observation of either a ferromagnetic state with very low $T_C$ $sim$ 8 K or sometimes no ferromagnetic state at all. We address these issues by calculating the ferromagnetic window, $T_C$ Vs $p$, within a $t-t'$ Kondo lattice model using a spin-fermion Monte-Carlo method on a simple cubic lattice. We exploit the next-nearest-neighbor hopping $t'$ to tune the degree of delocalization of the free carriers and show that carrier localization (delocalization) significantly widen (shrunken) the ferromagnetic window with a reduction (enhancement) of the optimum $T_C$. We connect our results with the experimental findings and try to understand the ambiguities in ferromagnetism in GaMnN.
GaMnN作为一种宽带隙系统,在发现了所有稀释磁性半导体中最高的铁磁转变温度$T_C$ $ $sim$ 940k后,引起了人们的极大兴趣。后来成为一个争论由于铁磁态的观察与非常低的T_C sim 8 K美元美元或者有时没有铁磁态。我们通过在简单立方晶格上使用自旋费米子蒙特卡罗方法计算$t-t'$ Kondo晶格模型中的铁磁窗口$T_C$ Vs $p$来解决这些问题。我们利用次近邻跳跃$t'$来调整自由载流子的离域程度,并表明载流子的局部化(离域)显著地扩大(缩小)了铁磁窗口,减小(增强)了最优的$T_C$。我们将我们的结果与实验结果联系起来,并试图理解GaMnN中铁磁性的模糊性。
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引用次数: 0
On Sharp Enhancement of Effective Mass of Quasiparticles and Coefficient of T2 Term of Resistivity around First-Order Metamagnetic Transition Observed in UTe2 UTe2一阶变磁跃迁前后准粒子有效质量和电阻率T2项系数的急剧增强
Pub Date : 2020-12-08 DOI: 10.7566/jpsj.90.024701
K. Miyake
The mechanism underlying the enhancement of the Sommerfeld coefficient of quasiparticles at the first-order metamagnetic transition in UTe_2, reported by Miyake et al. in J. Phys. Soc. Jpn. 88, 063706 (2019), is discussed theoretically by taking into account the ferromagnetic order-parameter fluctuations on the basis of the Landau theory of phase transition. We find that the enhanced ferromagnetic spin fluctuation gives rise to the enhancement of the effective mass of the quasiparticles or the Sommerfeld coefficient gamma,which is consistent with the experimental observations. At the same time, the Kadowaki-Woods type scaling around the metamagnetic transition, reported by Imajo et this http URL J. Phys. Soc. Jpn. 88, 083705 (2019) and Knafo et al. in J. Phys. Soc. Jpn. 88, 063705 (2019), is also understood semi-quantitatively by assuming reasonable values of parameters of Landau-type free energy reproducing key quantities characterizing the metamagnetic transition.
UTe_2中准粒子在一阶变磁跃迁时Sommerfeld系数增强的机制,Miyake et al.发表于《J. Phys》。Soc。在朗道相变理论的基础上,考虑铁磁序参量波动,从理论上进行了讨论。Jpn. 88, 063706(2019)。我们发现,增强的铁磁自旋涨落导致准粒子的有效质量或索默菲尔德系数gamma的增强,这与实验观察结果一致。与此同时,围绕变磁跃迁的Kadowaki-Woods型尺度,由Imajo等人报道。Soc。[j] .物理学报,2016,38(1),083705(2019)。Soc。Jpn. 88, 063705(2019),也可以通过假设朗道型自由能参数的合理值来半定量地理解,再现表征变磁转变的关键量。
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引用次数: 2
Magnetic anisotropy from linear defect structures in correlated electron systems 相关电子系统中线性缺陷结构的磁各向异性
Pub Date : 2020-12-07 DOI: 10.1103/PhysRevB.103.245132
Mainak Pal, Laetitia Bettmann, A. Kreisel, P. Hirschfeld
Correlated electron systems, particularly iron-based superconductors, are extremely sensitive to strain, which inevitably occurs in the crystal growth process. Built-in strain of this type has been proposed as a possible explanation for experiments where nematic order has been observed at high temperatures corresponding to the nominally tetragonal phase. Here we investigate a simple microscopic model of a strain-induced dislocation in the presence of electronic correlations, which create defect states that can drive magnetic anisotropy of this kind, if spin orbit interaction is present. Such defects can arise, e.g., in Fe-based systems or in Cu-O chains in cuprates. We estimate the contribution of these dislocations to magnetic anisotropy as detected by current torque magnetometry experiments.
相关电子系统,特别是铁基超导体,对应变非常敏感,这在晶体生长过程中不可避免地会发生。这种类型的内建应变已被提出作为一种可能的解释,在高温下观察到与名义上的四方相对应的向列有序。在这里,我们研究了一个简单的微观模型,在存在电子相关的情况下,电子相关产生的缺陷态可以驱动这种磁各向异性,如果存在自旋轨道相互作用。例如,在铁基系统或铜酸盐中的Cu-O链中可能出现这种缺陷。我们估计这些位错对磁各向异性的贡献,通过电流转矩磁强计实验检测到。
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引用次数: 1
Surface charge induced Dirac band splitting in a charge density wave material (TaSe4)2I 表面电荷诱导电荷密度波材料(TaSe4)2I的Dirac能带分裂
Pub Date : 2020-12-04 DOI: 10.1103/PHYSREVRESEARCH.3.013271
H. Yi, Zengle Huang, W. Shi, L. Min, R. Wu, C. Polley, Ruoxi Zhang, Yi-Fan Zhao, Ling Zhou, J. Adell, X. Gui, W. Xie, M. Chan, Z. Mao, Zhijun Wang, Weida Wu, Cui-Zu Chang
(TaSe4)2I, a quasi-one-dimensional (1D) crystal, shows a characteristic temperature-driven metal-insulator phase transition. Above the charge density wave (CDW) temperature Tc, (TaSe4)2I has been predicted to harbor a Weyl semimetal phase. Below Tc, it becomes an axion insulator. Here, we perform angle-resolved photoemission spectroscopy (ARPES) measurements on the (110) surface of (TaSe4)2I and observe two sets of Dirac-like energy bands in the first Brillion zone, which agree well with our first-principles calculations. Moreover, we find that each Dirac band exhibits an energy splitting of hundreds of meV under certain circumstances. In combination with core level measurements, our theoretical analysis shows that this Dirac band splitting is a result of surface charge polarization due to the loss of surface iodine atoms. Our findings here shed new light on the interplay between band topology and CDW order in Peierls compounds and will motivate more studies on topological properties of strongly correlated quasi-1D materials.
准一维(1D)晶体(TaSe4)2I表现出温度驱动的金属-绝缘体相变特征。在电荷密度波(CDW)温度Tc以上,(TaSe4)2I被预测为含有Weyl半金属相。低于Tc,它变成了一个轴子绝缘体。在此,我们对(TaSe4)2I的(110)表面进行了角分辨光电发射光谱(ARPES)测量,并在第一兆位区观察到两组狄拉克类能带,这与我们的第一性原理计算结果吻合得很好。此外,我们发现在某些情况下,每个狄拉克带都表现出数百meV的能量分裂。结合核能级测量,我们的理论分析表明,这种狄拉克带分裂是由于表面碘原子的损失而导致的表面电荷极化的结果。我们的研究结果揭示了peerls化合物中能带拓扑与CDW顺序之间的相互作用,并将激发对强相关准一维材料拓扑性质的更多研究。
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引用次数: 8
Local moments versus itinerant antiferromagnetism: Magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model 局部矩与流动反铁磁性:各向异性方晶格Hubbard模型的磁相图和光谱特性
Pub Date : 2020-12-02 DOI: 10.1103/PHYSREVB.103.125137
M. Raczkowski, F. Assaad, M. Imada
Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{perp}$ hopping amplitudes at half-filling. A fixed value of the next-nearest-neighbor hopping $t'=-t_{perp}/2$ removes the nesting property of the Fermi surface and stabilizes a paramagnetic metal phase in the weak-coupling regime. In the isotropic and moderately anisotropic regions, a growing spin entropy in the metal phase is quenched out at a critical interaction strength by the onset of long-range antiferromagnetic (AF) order of preformed local moments. It gives rise to a first-order metal-insulator transition consistent with the Mott-Heisenberg picture. In contrast, a strongly anisotropic regime $t_{perp}/tlesssim 0.3$ displays a quantum critical behavior related to the continuous transition between an AF metal phase and the AF insulator. Hence, within the present framework of CDMFT, the opening of the charge gap is magnetically driven as advocated in the Slater picture. We also discuss how the lattice-anisotropy-induced evolution of the electronic structure on a metallic side of the phase diagram is tied to the emergence of quantum criticality.
利用动态平均场理论(CDMFT)的聚类扩展,我们绘制了半填充时具有最近邻链内$t$和链间$t_{perp}$跳幅的各向异性方晶格Hubbard模型的磁相图。下近邻跳变$t'=-t_{perp}/2$的固定值消除了费米表面的嵌套特性,并稳定了弱耦合状态下的顺磁性金属相。在各向同性和中等各向异性区域,金属相中不断增长的自旋熵在一个临界相互作用强度下被预先形成的长程反铁磁(AF)阶矩的开始淬灭。它产生了与莫特-海森堡图一致的一阶金属-绝缘体跃迁。相反,强各向异性体系$t_{perp}/tlesssim 0.3$显示出与AF金属相和AF绝缘体之间连续转变相关的量子临界行为。因此,在CDMFT的现有框架内,电荷隙的打开是磁驱动的,正如斯莱特图所提倡的那样。我们还讨论了晶格各向异性诱导的相图金属侧电子结构的演化如何与量子临界的出现联系在一起。
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引用次数: 3
期刊
arXiv: Strongly Correlated Electrons
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