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A non-Hermitian analysis of strongly correlated quantum systems
We study a non-Hermitian generalization of strongly correlated quantum
systems in which the transfer energy of electrons is asymmetric. It is known
that a non-Hermitian critical point is equal to the inverse localization length
of a Hermitian non-interacting random electron system. We here conjecture that
we can obtain in the same way the correlation length of a Hermitian interacting
non-random system. We confirm the conjecture using exact solutions and
numerical finite-size data of the Hubbard model and the antiferromagnetic XXZ
model in one dimension
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