Vadim V Cheianov and M B Zvonarev 2004 J. Phys. A: Math. Gen. 37 2261 doi:10.1088/0305-4470/37/6/021
Vadim V Cheianov1 and M B Zvonarev2,3
Show affiliationsWe 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.
05.30.Fk Fermion systems and electron gas
71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
35Q15 Riemann-Hilbert problems (See also 30E25, 31A25, 31B20)
Quantum gases, liquids and solids
Issue 6 (13 February 2004)
Received 10 October 2003
Published 28 January 2004
Vadim V Cheianov and M B Zvonarev 2004 J. Phys. A: Math. Gen. 37 2261
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