We theoretically study a one-dimensional non-Hermitian Su–Schrieffer–Heeger model with an imaginary gauge field and spin–orbit coupling. We find that, under open boundary conditions, the dispersions possess the reciprocating real–complex–real transitions with increasing the strength of spin–orbit coupling. Correspondingly, the bulk energy eigenstates exhibit a reciprocating non-Hermitian skin effect. This mechanism can be characterized by the generalized Brillouin zone moduli, which approaches zero or infinity at the transition points. We further demonstrate the non-zero winding number inside the loops of generalized Brillouin zone when the strength of intra-cell spin–orbit coupling is larger than the inter-cell one, which results in the bipolar non-Hermitian skin effect. As the intra-cell and inter-cell spin–orbit coupling strength becomes comparable, the bipolar non-Hermitian skin effect degenerates to the conventional non-Hermitian skin effect. Our work may pave the way for the non-Hermitian optoelectronic devices utilizing the reciprocating non-Hermitian skin effect and the bipolar non-Hermitian skin effect by engineering the spin–orbit coupling.
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13 November 2023
Research Article|
November 17 2023
The reciprocating and bipolar non-Hermitian skin effect engineered by spin–orbit coupling
Special Collection:
Non-Hermitian Photonics
Wen-Cheng Jiang
;
Wen-Cheng Jiang
(Data curation, Formal analysis, Investigation, Methodology, Writing – original draft)
1
School of Science and Laboratory of Quantum Information Technology, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
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Jian Li
;
Jian Li
a)
(Conceptualization, Funding acquisition, Project administration, Supervision, Writing – original draft, Writing – review & editing)
1
School of Science and Laboratory of Quantum Information Technology, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
2
Institute for Advanced Sciences, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
3
Southwest Center for Theoretical Physics, Chongqing University
, Chongqing 401331, China
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Qing-Xu Li
;
Qing-Xu Li
(Formal analysis, Writing – review & editing)
1
School of Science and Laboratory of Quantum Information Technology, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
2
Institute for Advanced Sciences, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
3
Southwest Center for Theoretical Physics, Chongqing University
, Chongqing 401331, China
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Jia-Ji Zhu
Jia-Ji Zhu
a)
(Formal analysis, Funding acquisition, Supervision, Writing – review & editing)
1
School of Science and Laboratory of Quantum Information Technology, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
2
Institute for Advanced Sciences, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
3
Southwest Center for Theoretical Physics, Chongqing University
, Chongqing 401331, China
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Wen-Cheng Jiang
1
Jian Li
1,2,3,a)
Qing-Xu Li
1,2,3
Jia-Ji Zhu
1,2,3,a)
1
School of Science and Laboratory of Quantum Information Technology, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
2
Institute for Advanced Sciences, Chongqing University of Posts and Telecommunications
, Chongqing 400065, China
3
Southwest Center for Theoretical Physics, Chongqing University
, Chongqing 401331, China
Appl. Phys. Lett. 123, 201107 (2023)
Article history
Received:
August 30 2023
Accepted:
November 08 2023
Citation
Wen-Cheng Jiang, Jian Li, Qing-Xu Li, Jia-Ji Zhu; The reciprocating and bipolar non-Hermitian skin effect engineered by spin–orbit coupling. Appl. Phys. Lett. 13 November 2023; 123 (20): 201107. https://doi.org/10.1063/5.0174400
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