Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems

Abstract

It is shown that topological insulating phases driven by interactions can be realized without the need for spin-orbit coupling or large intersite interaction in a two-dimensional system of spin-1/2 fermions with a single pair of parabolically touching bands. Using a weak-coupling, Wilsonian renormalization group procedure, we show that a quantum anomalous Hall phase is realized for Hubbard interaction, while a quantum spin Hall phase is favored for longer-ranged interactions.

4+3 pages. Published version

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• Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
• Emergence of topological Mott insulators in proximity of quadratic band touching points
• Universality and stability of the edge states of chiral-symmetric topological semimetals and surface states of the Luttinger semimetal
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• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
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• Renormalization group study of systems with quadratic band touching
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• Bound states in two-dimensional Fermi systems with quadratic band touching
• Renormalization group analysis of weakly interacting van der Waals Fermi system
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