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Quantum Simulation

Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system

arXiv

Authors: S. Lin, Z. Song

Year

2016

Paper ID

42213

Status

Preprint

Abstract Read

~2 min

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Abstract

We establish a connection between an arbitrary Hermitian tight-binding model with chiral (C) symmetry and its non-Hermitian counterpart with chiral-time (CT ) 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.

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We establish a connection between an arbitrary Hermitian tight-binding model with chiral (C) symmetry and its non-Hermitian counterpart with chiral-time (CT ) symmetry.We show...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.08342 [2] arXiv https://arxiv.org/abs/1611.08342 [3] Publisher https://arxiv.org/abs/1611.08342

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