Linear response theory of interacting topological insulators

2011/07/31 by Dimitrie Culcer · 3 citations
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Chemistry #Condensed matter physics #Graphene research and applications #Linear response theory #Mathematics #Phenomenology (philosophy) #Physics #Polarization (electrochemistry) #Quantum mechanics #Renormalization #Topological Materials and Phenomena #Topological insulator #Topological quantum number #Topology (electrical circuits) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.84.235411

published as Phys. Rev. B 84, 235411 (2011) · 9 pages, 1 figure

arxiv created 2011/11/17 · openalex publication_date 2011/12/01 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Chiral surface states in topological insulators are robust against interactions, nonmagnetic 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 nonequilibrium spin polarization and charge conductivity, and disorder in turn enhances this renormalization by a factor of 2. 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 noninteracting problems.

Citations

• Dielectric function, screening, and plasmons in two-dimensional graphene
• Electronic structures and surface states of the topological insulatorBi1−xSbx
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Electronic transport in two-dimensional graphene
• Two-dimensional surface state in the quantum limit of a topological insulator
• Exciton Condensation and Charge Fractionalization in a Topological Insulator Film
• Topological Insulators
• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Non-Abelian anyons and topological quantum computation

Cited by

• Coulomb drag in topological materials
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Tunable Interaction-Induced Localization of Surface Electrons in Antidot Nanostructured Bi2Te3 Thin Films