Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
复制标题
从新的蒙特卡罗技术揭示费米子量子临界性
DOI：
10.1088/1361-648x/ab3295
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Zi Yang Meng
中科院分区：
文献类型：
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作者：
Xiao Yan Xu;Zi Hong Liu;Gaopei Pan;Yang Qi;Kai Sun;Zi Yang Meng
本文综述了费米子量子临界性研究的最新进展，重点介绍了数值方法的新进展，特别是量子蒙特卡罗方法，以及最近大规模数值模拟中出现的见解。费米子系统中的量子临界现象吸引了数十年的广泛研究努力，部分原因是它们的奇异特性和潜在的技术应用，部分原因是支配这些量子临界系统的深刻而普遍的基本原理唤醒了人们。由于这些系统的复杂性和非微扰性，它们面临着现代凝聚态物理研究中最困难和最具挑战性的问题，许多重要的基本问题仍未解决。最近，模型设计和算法改进的新进展使得在这些量子临界点附近实现无偏大规模数值解，这为通过理论和数值研究的共同努力获得受控结论铺平了新的途径，并可能为重费米子化合物、cu基和fe基超导体、超冷费米子原子气体、扭曲石墨烯层等，其中费米子量子临界特征存在。
This review summarizes recent developments in the study of fermionic quantum criticality, focusing on new progress in numerical methodologies, especially quantum Monte Carlo methods, and insights that emerged from recently large-scale numerical simulations. Quantum critical phenomena in fermionic systems have attracted decades of extensive research efforts, partially lured by their exotic properties and potential technology applications, and partially awakened by the profound and universal fundamental principles that govern these quantum critical systems. Due to the complex and non-perturbative nature, these systems face the most difficult and challenging problems in the study of modern condensed matter physics, and many important fundamental problems remain open. Recently, new developments in model design and algorithm improvements enabled unbiased large-scale numerical solutions to be achieved in the close vicinity of these quantum critical points, which paves a new pathway towards achieving controlled conclusions through combined efforts of theoretical and numerical studies, as well as possible theoretical guidance for experiments in heavy-fermion compounds, Cu-based and Fe-based superconductors, ultra-cold fermionic atomic gas, twisted graphene layers, etc, where signatures of fermionic quantum criticality exist.