Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures

Details Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures

2005-10-26

arxiv.org/abs/cond-mat/0510680v2

Phys. Rev. B 73, 075122 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 2 figures; 2 appendices added, a few modifications in the text, typos corrected; published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.73.075122

We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multi-channel) Fermi gases. We give a precise definition of the finite temperature Riemann-Hilbert problem and show that it is equivalent to a zero temperature problem. Using this equivalence, we discuss the solution of the nonequilibrium Fermi-edge singularity problem at finite temperatures.

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