Electron Correlation Induced Spontaneous Symmetry Breaking and Weyl Semimetal Phase in a Strongly Spin-Orbit Coupled System

Abstract

We study theoretically the electron correlation effect in a three-dimensional Dirac fermion system which describes a topologically nontrivial state. It is shown within the mean-field approximation that time-reversal and inversion symmetries of the system are spontaneously broken in the region where both spin-orbit coupling and electron correlation are strong. This phase is considered as an analog of that in the lattice quantum chromodynamics. It is also shown that in the presence of magnetic impurities, electron correlation enhances the appearance of the Weyl semimetal phase between the topological insulator phase and the normal insulator phase.

4 pages, 3 figures

References in corpus (17)

• Topological Insulators with Inversion Symmetry
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Antiferromagnetic topological insulators
• Topological Mott Insulators
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Microscopic study of spin-orbit-induced Mott insulator in Ir oxides
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Interaction effects and quantum phase transitions in topological insulators
• Topological Weyl Semi-metal from a Lattice Model
• Mott Physics on Helical Edges of 2D Topological Insulators