Topological invariance and global Berry phase in non-Hermitian systems
arXiv:1502.00443 · doi:10.1103/PhysRevA.87.012118
Abstract
By studying the topological invariance andBerry phase in non-Hermitian systems, we reveal the basic properties of the complex Berry phase and generalize the global Berry phases Q to identify the topological invariance for non-Hermitian systems.We find thatQcan identify topological invariance in two kinds of non-Hermitian model, the two-level non-Hermitian Hamiltonian and the bipartite dissipative model. For the bipartite dissipative model, an abrupt change of the Berry phase in the parameter space reveals a quantum phase transition and is related to the exceptional points. These results give the basic relationships between the Berry phase and the quantum and topological phase transitions of non-Hermitian systems.
15 pages, 2 figures
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- Disorder-induced exceptional points and nodal lines in Dirac superconductors
- Fate of zero modes in a finite Su-Schrieffer-Heeger Model with Symmetry
- Numerical calculation of the complex berry phase in non-Hermitian systems
- Symmetry-protected localized states at defects in non-Hermitian systems
- Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions
- Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
- Large Chern numbers in a dissipative dice model