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Zero temperature correlation functions for the impenetrable fermion gas

Vadim V Cheianov·M B Zvonarev
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Abstract

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the limit $T\to0$ is taken at a positive chemical potential. The asymptotic expressions are found from the asymptotic solution of the matrix Riemann-Hilbert problem related to the determinant representation of the correlation functions.

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Vadim V Cheianov, M B Zvonarev. 2004-02-09. Zero temperature correlation functions for the impenetrable fermion gas. https://doi.org/10.1088/0305-4470%2F37%2F6%2F021

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