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Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories

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arxiv 1909.01346 v4 pith:BMUOTTKI submitted 2019-09-03 cond-mat.str-el cond-mat.quant-gasmath-phmath.MPquant-ph

Po-Yao Chang , Jhih-Shih You , Xueda Wen , Shinsei Ryu This is my paper
classification cond-mat.str-elcond-mat.quant-gasmath-phmath.MPquant-ph
keywords entanglementnon-hermitianconformalcriticalentropyfieldfindmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose a method of computing and studying entanglement quantities in non-Hermitian systems by use of a biorthogonal basis. We find that the entanglement spectrum characterizes the topological properties in terms of the existence of mid-gap states in the non-Hermitian Su-Schrieffer-Heeger (SSH) model with parity and time-reversal symmetry (PT symmetry) and the non-Hermitian Chern insulators. In addition, we find that at a critical point in the PT symmetric SSH model, the entanglement entropy has a logarithmic scaling with corresponding central charge $c=-2$. This critical point then is a free-fermion lattice realization of the non-unitary conformal field theory.

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Cited by 5 Pith papers

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