Topological phase transitions with SO(4) symmetry in (2+1)D interacting Dirac fermions

被引：18

作者：

Xu, Xiao Yan ^{[1
,2
]}

Beach, K. S. D. ^{[3
]}

Sun, Kai ^{[4
]}

Assaad, F. F. ^{[5
]}

Meng, Zi Yang ^{[1
]}

机构：

[1] Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China

[3] Univ Mississippi, Dept Phys & Astron, Oxford, MS 38677 USA

[4] Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA

[5] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany

来源：

PHYSICAL REVIEW B | 2017年 / 95卷 / 08期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

QUANTUM MONTE-CARLO; SUPERCONDUCTORS; FIELD; INSULATOR; STATES;

D O I：

10.1103/PhysRevB.95.085110

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Interaction-driven topological phase transitions in Dirac semimetals are investigated by means of large-scale quantum Monte Carlo simulations. The interaction among Dirac fermions is introduced by coupling them to Ising spins that realize the quantum dynamics of the two-dimensional transverse field Ising model. The ground-state phase diagram, in which the tuning parameters are the transverse field and the coupling between fermion and Ising spins, is determined. At weak and intermediate coupling, a second-order Ising quantum phase transition and a first-order topological phase transition between two topologically distinct Dirac semimetals are observed. Interestingly, at the latter, the Dirac points smear out to form nodal lines in the Brillouin zone, and collective bosonic fluctuations with SO(4) symmetry are strongly enhanced. At strong coupling, these two phase boundaries merge into a first-order transition.

引用

页数：5

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