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- W3100588670 abstract "We revisit the problem of finding the probability distribution of a fermionic number of one-dimensional spinless free fermions on a segment of a given length. The generating function for this probability distribution can be expressed as a determinant of a Toeplitz matrix. We use the recently proven generalized Fisher--Hartwig conjecture on the asymptotic behavior of such determinants to find the generating function for the full counting statistics of fermions on a line segment. Unlike the method of bosonization, the Fisher--Hartwig formula correctly takes into account the discreteness of charge. Furthermore, we check numerically the precision of the generalized Fisher--Hartwig formula, find that it has a higher precision than rigorously proven so far, and conjecture the form of the next-order correction to the existing formula." @default.
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- W3100588670 date "2011-11-08" @default.
- W3100588670 modified "2023-09-25" @default.
- W3100588670 title "Quantum fluctuations of one-dimensional free fermions and Fisher–Hartwig formula for Toeplitz determinants" @default.
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- W3100588670 doi "https://doi.org/10.1088/1751-8113/44/48/485001" @default.
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