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Zero temperature correlation functions for the impenetrable fermion gas

Vadim V Cheianov et al 2004 J. Phys. A: Math. Gen. 37 2261-2297   doi: 10.1088/0305-4470/37/6/021  Help

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Vadim V Cheianov1 and M B Zvonarev2,3
1 NORDITA, Blegdamsvej 17, Copenhagen Ø DK 2100, Denmark
2 Ørsted Laboratory, Niels Bohr Institute for APG, Universitetsparken 5, Copenhagen Ø DK 2100, Denmark
3 Petersburg Department of Steklov Institute of Mathematics, Fontanka 27, St Petersburg 191023, Russia
E-mail: cheianov@nordita.dk and zvonarev@fys.ku.dk

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 → 0 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.

PACS numbers: 71.10.Pm, 02.30.Ik

Print publication: Issue 6 (13 February 2004)
Received 10 October 2003
Published 28 January 2004

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