Spectral flow of non-hermitian Heisenberg spin chain with complex twist

Details Spectral flow of non-hermitian Heisenberg spin chain with complex twist Spectral flow of non-hermitian Heisenberg spin chain with complex twist

1998-02-12

arxiv.org/abs/cond-mat/9802128v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, revtex, to appear in NPB

Scientific paper

10.1016/S0550-3213(98)00150-3

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 $4\pi$ 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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