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物理学前沿：英文版

Quantum phase transitions in two-dimensional strongly correlated fermion systems

保安, 陈耀华, 林恒福, 刘海迪, 章晓中

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

在这篇文章，我们在二维的强烈相关的费米子系统在量阶段转变上考察我们的最近的工作。我们由用细胞的动态吝啬地的理论(CDMFT ) 和连续时间的量蒙特卡罗算法的联合计算状态，两倍占有，和费密表面进化的密度讨论这些系统的 metalinsulator 转变性质。而且，我们由定义磁性的顺序参数探索每个状态的磁性。包括 antiferromagnetic 金属，顺磁的金属， Kondo 金属，和铁磁性的绝缘体，有许多吸引人的量状态的富有的阶段图被作出对有利的裁决有强烈相关的费米子的二维的格子。我们相信我们的结果将导致真实材料的性质的更好的理解。

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在这篇文章，我们在二维的强烈相关的费米子系统在量阶段转变上考察我们的最近的工作。我们由用细胞的动态吝啬地的理论(CDMFT ) 和连续时间的量蒙特卡罗算法的联合计算状态，两倍占有，和费密表面进化的密度讨论这些系统的 metalinsulator 转变性质。而且，我们由定义磁性的顺序参数探索每个状态的磁性。包括 antiferromagnetic 金属，顺磁的金属， Kondo 金属，和铁磁性的绝缘体，有许多吸引人的量状态的富有的阶段图被作出对有利的裁决有强烈相关的费米子的二维的格子。我们相信我们的结果将导致真实材料的性质的更好的理解。
In this article, we review our recent work on quantum phase transition in two-dimensional strongly correlated fermion systems. We discuss the metal–insulator transition properties of these systems by calculating the density of states, double occupancy, and Fermi surface evolution using a combination of the cellular dynamical mean-field theory (CDMFT) and the continuous-time quantum Monte Carlo algorithm. Furthermore, we explore the magnetic properties of each state by defining magnetic order parameters. Rich phase diagrams with many intriguing quantum states, including antiferromagnetic metal, paramagnetic metal, Kondo metal, and ferromagnetic insulator, were found for the two-dimensional lattices with strongly correlated fermions. We believe that our results would lead to a better understanding of the properties of real materials.
我们在场与矩阵产品在旋转链系统构造各种各样的量阶段转变(QPT ) 的一个新一般、简单得多的计划扎根了状态。由计划的使用，我们考虑一个种矩阵产品状态(MPS ) QPT 并且提供一个具体模型。我们也学习一种 QPT 出现的具体例子和表演的性质，由同等值的断绝的外观伴随了不在的块仅仅为同等值的物理看得见的、分叉的关联长度不在的块操作员，并且是转变点的固定的点是重正常化的一个孤立的中间联合的固定的点的另外的性质流动并且一半无限的链的纠纷熵是不连续的。[从作者抽象]
We study the antiferromagnetic and paramagnetic Kondo insulator phases of the Kondo lattice model on the cubic lattice at half filling using the cellular dynamical mean-field theory (CDMFT) with the numerical renormalization group (NRG) as the impurity solver, focusing on the fine details of the spectral function and self-energy. We find that the nonlocal correlations increase the gap in both the antiferromagnetic and Kondo insulator phases and shrink the extent of the antiferromagnetic phase in the phase diagram but do not alter any properties qualitatively. The agreement between the numerical CDMFT results and those within a simple hybridization picture, which adequately describes the overall band structure of the system but neglects all effects on the inelastic-scattering processes, is similar to that of the single-site DMFT results; there are deviations that are responsible for the additional fine structure, in particular for the asymmetric spectral resonances or dips that become more pronounced in the strong-coupling regime close to the antiferromagnet-paramagnetic quantum phase transition. These features appear broader in the CDMFT mostly due to numerical artifacts linked to more aggressive state truncation required in the NRG.
Cavity quantum electrodynamics offers a route to control quantum phases by using vacuum fluctuations of confined electromagnetic fields. In particular, planar cavities based on polar van der Waals materials can generate strongly confined modes and are promising for controlling two-dimensional correlated materials. Recently, moiré materials have become central platforms for studying two-dimensional heavy-fermion systems and their quantum phase transitions. Kondo lattices provide a prototypical model for studying quantum phase boundaries, driven by competition between Kondo screening and the ordering of local magnetic moments. We show that a cavity-induced interaction can shift the quantum phase transitions between a heavy-fermion phase and an antiferromagnetic phase in a two-dimensional Kondo lattice through a momentum-dependent self-energy of the conduction bands. For the longitudinal projected field motivated by h-BN hyperbolic phonon polaritons, the self-energy favors Kondo hybridization and expands the heavy-fermion region. Transverse and circular in-plane model structures give distinct effects, with the transverse case relatively favoring the magnetically ordered phase and the circular case lying between the longitudinal and transverse cases. These results indicate that electromagnetic vacuum fluctuations can effectively modify the control parameters of strongly correlated two-dimensional Kondo materials.
En este artículo, discutimos varios aspectos de la transición de fase cuántica, con especial énfasis en la transición metal-aislante. Comenzamos con una revisión de trabajos claves experimentales y teóricos realizado por científicos que hicieron contribuciones históricamente importantes al campo. Posteriormente discutimos cómo la adición de dopaje a un sistema reduce la temperatura crítica de la transición de fase. Aunque muchos aspectos de la transición de fase cuántica siguen siendo un problema abierto, se han hecho progresos considerables para revelar la física subyacente, tanto teórica como experimentalmente.