Linear response theory of interacting topological insulators

Abstract

Chiral surface states in topological insulators are robust against interactions, non-magnetic disorder and localization, yet topology does not yield protection in transport. This work presents a theory of interacting topological insulators in an external electric field, starting from the quantum Liouville equation for the many-body density matrix. Out of equilibrium, topological insulators acquire a current-induced spin polarization. Electron-electron interactions renormalize the non-equilibrium spin polarization and charge conductivity, and disorder in turn enhances this renormalization by a factor of two. Topological insulator phenomenology remains intact in the presence of interactions out of equilibrium, and an exact correspondence exists between the mathematical frameworks necessary for the understanding of the interacting and non-interacting problems.

9 pages, 1 figure

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Cited by in corpus (26)

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• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Transport in three-dimensional topological insulators: theory and experiment
• Finite-temperature conductivity and magnetoconductivity of topological insulators
• Inter-band Coherence Response to Electric Fields in Crystals
• Spin-helical transport in normal and superconducting topological insulators
• Quantum Kinetic Theory of the Chiral Anomaly
• Conductivity Corrections for Topological Insulators with Spin-Orbit Impurities: A New Hikami-Larkin-Nagaoka Formula
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
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• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Screening, Friedel oscillations and low-temperature conductivity in topological insulator thin films
• NV-Center Based Digital Quantum Simulation of a Quantum Phase Transition in Topological Insulators
• Interlayer RKKY Coupling in Bulk Rashba Semiconductors under Topological Phase Transition
• Anomalous Hall Coulomb drag of massive Dirac fermions
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Topological Proximity Effects in Graphene Nanoribbon Heterostructures
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• Fermi-liquid behaviors in three-dimensional polaron system with tunable dispersion