Quantum phase transitions in two-dimensional strongly correlated fermion systems

• Published in: Frontiers of physics Vol. 10; no. 5; pp. 7 - 26
• Main Author: 保安 陈耀华 林恒福 刘海迪 章晓中
• Format: Journal Article
• Language: English
• Published: Beijing Higher Education Press 01.10.2015; Springer Nature B.V
• Subjects: Algorithms; Antiferromagnetism; Astronomy; Astrophysics and Cosmology; Atomic; cellular dynamical mean-field theory; Condensed Matter Physics; continuous-time quantum Monte Carlo; Correlation; Fermi surfaces; Fermions; Ferromagnetism; Lattices; Magnetic properties; Mean field theory; Metal-insulator transition; Metals; Molecular; Optical and Plasma Physics; Order parameters; Particle and Nuclear Physics; Phase diagrams; Phase transitions; Physics; Physics and Astronomy; quantum phase transition; Review Article; two-dimensional lattices; 二维晶格; 强关联电子系统; 相变特性; 蒙特卡罗算法; 费米子系统; 量子态; 金属-绝缘体; 铁磁金属; quantum phase transition; fermions; continuous-time quantum Monte Carlo; cellular dynamical mean-field theory; two-dimensional lattices
• ISSN: 2095-0462; 2095-0470
• DOI: 10.1007/s11467-015-0498-5

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 com- bination 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.