Zero temperature correlation functions for the impenetrable fermion gas

Details Zero temperature correlation functions for the impenetrable fermion gas Zero temperature correlation functions for the impenetrable fermion gas

2003-10-21

arxiv.org/abs/cond-mat/0310499v2

J. Phys. A: Math. Gen. vol. 37 (2004) 2261-2297

Physics

Condensed Matter

Strongly Correlated Electrons

42 pages, 12 figures

Scientific paper

10.1088/0305-4470/37/6/021

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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