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Disorder effects in correlated topological insulators
- Source :
- Phys. Rev. B 94, 235132 (2016)
- Publication Year :
- 2016
-
Abstract
- Using exact diagonalization and quantum Monte Carlo calculations we investigate the effects of disorder on the phase diagram of both non-interacting and interacting models of two-dimensional topological insulators. In the fermion sign problem-free interacting models we study, electron-electron interactions are described by an on-site repulsive Hubbard interaction and disorder is included via the one-body hopping operators. In both the non-interacting and interacting models we make use of recent advances in highly accurate real-space numerical evaluation of topological invariants to compute phase boundaries, and in the non-interacting models determine critical exponents of the transitions. We find different models exhibit distinct stability conditions of the topological phase with respect to interactions and disorder. We provide a general analytical theory that accurately predicts these trends.<br />Comment: 13 pages, 5 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 94, 235132 (2016)
- Publication Type :
- Report
- Accession number :
- edsarx.1608.06634
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.94.235132