Reduction of $\mathbb{Z}$ classification of a two-dimensional weak topological insulator - real-space DMFT study -

Abstract

One of the remarkable interaction effects on topological insulators is the reduction of topological classification in free-fermion systems. We address this issue in a bilayer honeycomb lattice model by taking into account temperature effects on the reduction. Our analysis, based on the real-space dynamical mean field theory, elucidates the following results. (i) Even when the reduction occurs, the winding number defined by the Green's function can take a nontrivial value at zero temperature. (ii) The winding number taking the nontrivial value becomes consistent with the absence of gapless edge modes due to Mott behaviors emerging only at the edges. (iii) Temperature effects can restore the gapless edge modes, provided that the energy scale of interactions is smaller than the bulk gap. In addition, we observe the topological edge Mott behavior only in some finite temperature region.

arXiv comment6.5 pages, 5 figures. Accepted for PRB

References in corpus (36)

• Topological Insulators
• Topological insulators and superconductors
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Continuous-time Monte Carlo methods for quantum impurity models
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• A continuous-time solver for quantum impurity models
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• Topological phases of fermions in one dimension
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
• Continuous Time Quantum Monte Carlo method for fermions
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• The effects of interactions on the topological classification of free fermion systems
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Single particle Green's functions and interacting topological insulators
• Bulk-boundary correspondence of topological insulators from their Green's functions
• Classification of interacting electronic topological insulators in three dimensions
• Simplified topological invariants for interacting insulators
• Classification and analysis of two dimensional abelian fractional topological insulators
• Topological Crystalline Kondo Insulator in Mixed Valence Ytterbium Borides
• Surface metal-insulator transition in the Hubbard model
• Interaction effect on topological classification of superconductors in two dimensions
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Topological invariants and interacting one-dimensional fermionic systems
• Spatial inhomogeneity and strong correlation physics: a dynamical mean field study of a model Mott-insulator/band-insulator heterostructure
• A new class of $(2+1)$-d topological superconductor with ${\mathbb{Z}}_8$ topological classification
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
• Topological insulators in filled skutterudites
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• CPT theorem and classification of topological insulators and superconductors

Cited by in corpus (4)

• Higher-order Topological Mott Insulators
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Magnetic states in a three-dimensional topological Kondo insulator
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems