Quantum spin Hall insulators with interactions and lattice anisotropy

Wei Wu, Stephan Rachel, Wu-Ming Liu, and Karyn Le Hur
Phys. Rev. B 85, 205102 – Published 2 May 2012

Abstract

We investigate the interplay between spin-orbit coupling and electron-electron interactions on the honeycomb lattice, combining the cellular dynamical mean-field theory and its real-space extension with analytical approaches. We provide a thorough analysis of the phase diagram and temperature effects at weak spin-orbit coupling. We systematically discuss the stability of the quantum spin Hall phase toward interactions and lattice anisotropy, resulting in the plaquette-honeycomb model. We also show the evolution of the helical edge states characteristic of quantum spin Hall insulators as a function of Hubbard interaction and anisotropy. At very weak spin-orbit coupling and intermediate electron-electron interactions, we substantiate the existence of a quantum spin liquid phase.

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  • Received 15 June 2011

DOI:https://doi.org/10.1103/PhysRevB.85.205102

©2012 American Physical Society

Authors & Affiliations

Wei Wu1,2, Stephan Rachel1, Wu-Ming Liu2, and Karyn Le Hur1

  • 1Department of Physics, Yale University, New Haven, Connecticut 06520, USA
  • 2Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

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Issue

Vol. 85, Iss. 20 — 15 May 2012

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