Abstract
We establish a connection between an arbitrary Hermitian tight-binding model with chiral () symmetry and its non-Hermitian counterpart with chiral-time () symmetry. We show that such a non-Hermitian Hamiltonian is pseudo-Hermitian. The eigenvalues and eigenvectors of the non-Hermitian Hamiltonian can be easily obtained from those of its parent Hermitian Hamiltonian. It provides a way to generate a class of non-Hermitian models with a tunable full real band structure by means of additional imaginary potentials. We also present an illustrative example that could achieve a cone structure from the energy band of a two-layer Hermitian square lattice model.
- Received 29 June 2017
DOI:https://doi.org/10.1103/PhysRevA.96.052121
©2017 American Physical Society