Thermodynamic and topological phase diagrams of correlated topological insulators
arXiv:1507.07116 · doi:10.1103/PhysRevB.92.125102
Abstract
A definition of topological phases of density matrices is presented. The topological invariants in case of both noninteracting and interacting systems are extended to nonzero temperatures. Influence of electron interactions on topological insulators at finite temperatures is investigated. A correlated topological insulator is described by the Kane-Mele model, which is extended by the interaction term of the Falicov-Kimball type. Within the Hartree-Fock and the Hubbard I approximations the thermodynamic and topological phase diagrams are determined, where the long-range order is included. The results show that correlation effects lead to a strong suppression of the existence of the nontrivial topological phase. In the homogeneous phase we find a purely-correlation driven phase transition into the topologically trivial Mott insulator.
10 pages, 8 figures
References in corpus (24)
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators with Inversion Symmetry
- 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
- Experimental realisation of the topological Haldane model
- Spin-orbit coupling in quantum gases
- Topological Mott Insulators
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Simplified topological invariants for interacting insulators
- Correlation effects in two-dimensional topological insulators
- Topology of density matrices
- Dissipative preparation of Chern insulators
- Spin-charge Separated Solitons in a Topological Band Insulator
- Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
- Spin Charge Separation in the Quantum Spin Hall State
- Topological indices for open and thermal systems via Uhlmann's phase
- From the adiabatic theorem of quantum mechanics to topological states of matter
- On the nature of the band inversion and the topological phase transition in (Pb,Sn)Se
- Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
- Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
- Correlation-driven phase transition in a Chern insulator