Interaction Protected Topological Insulators with Time Reversal Symmetry

Abstract

Anderson's localization on the edge of two dimensional time reversal (TR) topological insulator (TI) is studied. For the non-interacting case the topological protection acts accordingly to the ${\mathbb{Z}}_2$ classification, leading to conducting and insulating phases for odd and even fillings respectively. In the presence of repulsive interaction the phase diagram is notably changed. We show that for sufficiently strong values of the interaction the zero temperature fixed point of the TI is conducting, including the case of even fillings. We compute the boundaries of the conducting phase for various fillings and types of disorder.

6 pages, 4 figures, discussion about multiparticle processes added. Published version

References in corpus (11)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• The Quantum Spin Hall Effect: Theory and Experiment
• One-dimensional Topological Edge States of Bismuth Bilayers
• Resistance of helical edges formed in a semiconductor heterostructure
• Conductivity of a generic helical liquid
• Quantum Spin Hall Effect in Strip of Stripes Model
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory

Cited by in corpus (10)

• Stabilizing multiple topological fermions on a quantum computer
• Interaction induced topological protection in one-dimensional conductors
• Phase diagram of two interacting helical states
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Local impurity in multichannel Luttinger liquid
• Stability of a topological insulator: interactions, disorder and parity of Kramers doublets
• Composite helical edges from Abelian fractional topological insulators
• Clock model and parafermions in Rashba nanowires
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Interplay between intrinsic and emergent topological protection on interacting helical modes