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Non-Hermitian polarization quantized by time-reversal symmetry

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Non-Hermitian polarization quantized by time-reversal symmetry
It is well known that in one-dimensional(1D)crystalline insulators,the electric polarization is a manifestation of Berry phase,which can not be quantized by time-reversal symmetry(TRS)as in Hermitian physics TRS does not induce any topological phase in one dimension.In this paper we report that even though associated with complex eigenenergies a 1D non-Hermitian insulator obeying only TRS is capable of presenting quantized bulk polarization.The underlying physical reason is unveiled:TRS guar-antees the complex energies to come in pair(E,E*),and the corresponding decaying and amplifying wave functions also come in pair and have the same variation rate,hence,giving rise to a stable wannier center.The electron transport is performed by means of charge pumping process,which verifies the physical mechanism above.At last,we discuss the possible experimental implementation of the proposed model by means of twisted-π gauge flux.

non-Hermitian polarizationtime-reversal symmetrycomplex hopping

Jing Cheng、Jinbing Hu、Zhigao Hu、Lin Chen、Minghui Lu、Songlin Zhuang

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Technical Center for Multifunctional Magneto-Optical Spectroscopy(Shanghai),Engineering Research Center of Nanophotonics & Advanced Instrument(Ministry of Education),Department of Physics and Electronic Science,East of China Normal University,Shanghai 200241,China

College of Optical-Electrical Information and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China

Wuhan National Laboratory for Optoelectronics and School of Optical and Electronic Information,Huazhong University of Science and Technology Wuhan 430074,China

National Laboratory of Solid State Microstructures Science and Engineering,Nanjing University,Nanjing 210093,China

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non-Hermitian polarization time-reversal symmetry complex hopping

2024

10.1007/s11433-024-2484-0

中国科学:物理学 力学 天文学(英文版)
中国科学院

中国科学:物理学 力学 天文学(英文版)

CSTPCD
影响因子：0.91
ISSN：1674-7348
年,卷(期)：2024.67(12)