Spectral flow of non-hermitian Heisenberg spin chain with complex twist |
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| Institution: | 1. School of Nano Science, Institute for Research in Fundamental Sciences (IPM), Tehran, 19395-5531, Iran;2. School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, 19395-5531, Iran;1. Université de Toulon, Aix Marseille Université, CNRS, LIS, Marseille, France;2. HCMC University of Technology and Education, Faculty of IT, Ho Chi Minh City, Vietnam;3. AI Lab, Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam |
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| Abstract: | We investigate the spectral flow of the integrable non-hermitian Heisenberg spin chain under boundary conditions with complex twist angle. It is shown that the period of the spectral flow is 4π up to a certain critical imaginary twist, beyond which the period jumps successively to higher values. We argue that this phenomenon caused by non-hermitian properties of the system is closely related to the metal-insulator transition caused by non-hermitian hoppings for the one-dimensional insulator. |
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