Instabilities of quadratic band crossing points

Abstract

Using a functional renormalization group approach, we study interaction-driven instabilities in quadratic band crossing point two-orbital models in two dimensions, extending a previous study of Sun et al. [1]. The wavevector-dependence of the Bloch eigenvectors of the free Hamiltonian causes interesting instabilities toward spin nematic, quantum anomalous Hall and quantum spin Hall states. In contrast with other known examples of interaction-driven topological insulators, in the system studied here, the QSH state occurs at arbitrarily small interaction strength and for rather simple intra- and inter-orbital repulsions.

9 pages, 6 figures; additional information on the fRG method (section 3) and minor changes

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• Switchable Quantum Anomalous Hall state in a strongly frustrated lattice magnet
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• Diagnosis of interaction-driven topological phase via exact diagonalization
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• Change of an insulator's topological properties by a Hubbard interaction
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• Zero modes and charged Skyrmions in graphene bilayer
• Twisted multilayer nodal superconductors
• Higher angular momentum band inversions in two dimensions
• Soluble Fermionic Quantum Critical Point in Two Dimensions
• Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Emergence of superconductivity in a doped single-valley quadratic band crossing system of spin-1/2 fermions
• Emergent non-trivial lattices for topological insulators
• Ubiquitous nematic Dirac semimetal emerging from interacting quadratic band touching system
• Quantifying the fragility of unprotected quadratic band crossing points
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study
• Instability of QBC systems to Topological Anderson Insulating phases
• Kondo-induced hybrid topological insulator in two-dimensional electron system with a quadratic band crossing point
• Renormalization group study of systems with quadratic band touching
• Fate of Quadratic Band Crossing under quasiperiodic modulation
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• Emergent Quantum Phenomena of Noncentrosymmetric Charge-Density Wave in 1T-Transition Metal Dichalcogenides
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Exact solutions of Kondo problems in higher-order fermions
• Emergence of triplet orbital pairing and non-Abelian states in ultracold multi-orbital optical lattices with quadratic band touching