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Article overview
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Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems | | Wojciech Brzezicki
; Timo Hyart
; | | Date: |
5 Aug 2019 | | Abstract: | We consider a class of one-dimensional non-Hermitian models with a special
type of a chiral symmetry which is related to pseudo-Hermiticity. We show that
the topology of a Hamiltonian belonging to this symmetry class is determined by
a hidden Chern number described by an effective 2D Hermitian Hamiltonian
$H^{
m eff} (k, eta)$, where $eta$ is the imaginary part of the energy. This
Chern number manifests itself as topologically protected in-gap end states at
zero real part of the energy. We show that the bulk-boundary correspondence
coming from the hidden Chern number is robust and immune to non-Hermitian skin
effect. We introduce a minimal model Hamiltonian supporting topologically
nontrivial phases in this symmetry class, derive its topological phase diagram
and calculate the end states originating from the hidden Chern number. | | Source: | arXiv, 1908.1553 | | Services: | Forum | Review | PDF | Favorites | |
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