Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2012-03-29
Physics
Condensed Matter
Strongly Correlated Electrons
14 page, 33 figures
Scientific paper
It has been shown that solutions of a number of many-body problems out of equilibrium can be expressed in terms of Toeplitz determinants with Fisher-Hartwig (FH) singularities. In the present paper, such Toeplitz determinants are studied numerically. Results of our numerical calculations fully agree with the FH conjecture in an extended form that includes a summation over all FH representations (corresponding to different branches of the logarithms). As specific applications, we consider problems of Fermi edge singularity and tunneling spectroscopy of Luttinger liquid with multiple-step energy distribution functions, including the case of population inversion. In the energy representation, a sum over FH branches produces power-law singularities at multiple edges.
Gutman Dmitri B.
Mirlin Alexander D.
Protopopov Ivan V.
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