Topological properties in the non-Hermitian tetramerized
Su-Schrieffer-Heeger lattices
- URL: http://arxiv.org/abs/2111.07026v1
- Date: Sat, 13 Nov 2021 03:22:24 GMT
- Title: Topological properties in the non-Hermitian tetramerized
Su-Schrieffer-Heeger lattices
- Authors: Jia-Rui Li, Lian-Lian Zhang, Wei-Bin Cui, and Wei-Jiang Gong
- Abstract summary: We study the topological properties of the non-Hermitian Su-Schrieffer-Heeger (SSH) lattice.
By changing the lattice to a tetramerized non-Hermitian system, such imaginary potentials induce the nontrivial transition of the topological properties of the SSH system.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, we study the topological properties of the non-Hermitian
Su-Schrieffer-Heeger (SSH) lattice by periodically introducing onsite imaginary
potentials in the manner of ($i\gamma_1$, $-i\gamma_2$, $-i\gamma_1$,
$i\gamma_2$) where $\gamma_1$ and $\gamma_2$ are the imaginary potential
strengths. Results show that by changing the lattice to a tetramerized
non-Hermitian system, such imaginary potentials induce the nontrivial
transition of the topological properties of the SSH system. First, the
topologically-nontrivial region is extended, followed by the non-Hermitian
spontaneous breaking of the anti-$\cal PT$ symmetry. In addition, new edge
state appears, but its locality is different from the state induced by the
Hermitian SSH lattice. If such potentials are strong enough, the bulk states of
this system can become purely imaginary states. We believe that these imaginary
potentials play special roles in modulating the topological properties of the
non-Hermitian SSH lattice.
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