The fate of interaction-driven topological insulators under disorder

Abstract

We analyze the effect of disorder on the weak-coupling instabilities of quadratic band crossing point (QBCP) in two-dimensional Fermi systems, which, in the clean limit, display interaction- driven topological insulating phases. In the framework of a renormalization group procedure, which treats fermionic interactions and disorder on the same footing, we test all possible instabilities and identify the corresponding ordered phases in the presence of disorder for both single-valley and two-valley QBCP systems. We find that disorder generally suppresses the critical temperature at which the interaction-driven topologically non-trivial order sets in. Strong disorder can also cause a topological phase transition into a topologically trivial insulating state.

arXiv comment16 pages, 17 figures

References in corpus (59)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Electronic transport in two dimensional graphene
• Classification of topological insulators and superconductors in three spatial dimensions
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Anderson Transitions
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Renormalization Group Approach to Interacting Fermions
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Topological Mott Insulators
• Nematic Fermi Fluids in Condensed Matter Physics
• Electron fractionalization in two-dimensional graphenelike structures
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Effect of Disorder on Transport in Graphene
• Electronic properties of bilayer and multilayer graphene
• Many-body instability of Coulomb interacting bilayer graphene: RG approach
• Pseudospin Magnetism in Graphene
• Quantum Anomalous Hall State in Bilayer Graphene
• Dynamical Screening and Ferroelectric-type Excitonic Instability in Bilayer Graphene
• Spontaneous symmetry breaking and Lifshitz transition in bilayer graphene
• Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
• Disorder induced transition between s_+- and s_++ states in two-band superconductors
• Effective theory of quadratic degeneracies
• Graphene via large N I: Renormalization
• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Renormalization group theory of nematic ordering in d-wave superconductors
• Electronic multicriticality in bilayer graphene
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Disorder and interaction effects in two dimensional graphene sheets
• Phases of correlated spinless fermions on the honeycomb lattice
• Instabilities of interacting electrons on the honeycomb bilayer
• Interaction-Driven Spontaneous Quantum Hall Effect on Kagome Lattice
• Antiferromagnetic state in bilayer graphene
• Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential
• Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
• Interaction driven phases in the honeycomb lattice from exact diagonalization
• Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
• Fermions on bilayer graphene: symmetry breaking for B=0 and nu=0
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Diagnosis of interaction-driven topological phase via exact diagonalization
• Unexpected impact of magnetic disorder on multiband superconductivity
• Disorder effects at a nematic quantum critical point in d-wave cuprate superconductor
• Ordered Loop Current States in Bilayer Graphene
• Manifestation of impurity induced s_{+-} -> s_{++} transition: multiband model for dynamical response functions
• The effects of weak disorders on Quantum Hall critical points
• Engineering interaction-induced topological insulators in a $\sqrt{3}\times \sqrt{3}$ substrate-induced honeycomb superlattice
• Superconductivity on the brink of spin-charge order in doped honeycomb bilayer
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Disorder effects in correlated topological insulators
• DESTRUCTION OF THE QUANTUM HALL EFFECT WITH INCREASING DISORDER
• Competition between superconductivity and nematic order in high-$T_c$ superconductor
• Topological classification of k.p Hamiltonians for Chern insulators

Cited by in corpus (20)

• Interplay of local order and topology in the extended Haldane-Hubbard model
• Tunning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
• Interplay of interactions, disorder and topology in the Haldane-Hubbard model
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• Stability of two-dimensional asymmetric materials with a quadratic band crossing point under four-fermion interaction and impurity scattering
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Fermion-fermion interaction driven instability and criticality of quadratic band crossing systems with the breaking of time-reversal symmetry
• Cooper instability generated by attractive fermion-fermion interaction in the two-dimensional semi-Dirac semimetals
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Anatomy of plasmons in generic Luttinger semimetals
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
• The Future of the Correlated Electron Problem
• Instability of QBC systems to Topological Anderson Insulating phases
• Renormalization group study of systems with quadratic band touching
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals