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Article overview
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Ballistic correction to the density of states in an interacting three-dimensional metal | | Daniil Antonenko
; Mikhail Skvortsov
; | | Date: |
10 Oct 2019 | | Abstract: | We study the tunneling density of states (DOS) in an interacting disordered
three-dimensional metal and calculate its energy dependence in the
quasiballistic regime, for the deviation from the Fermi energy, $E-E_F$,
exceeding the elastic scattering rate. In this region, the DOS correction
originates from the interplay of the interaction and single-impurity
scattering. Depending on the distance between the interaction point and the
impurity, one should distinguish (i) the smallest scales of the order of the
Fermi wavelength and (ii) larger spatial scales of the order of $hbar
v_F/|E-E_F|$. In two dimensions, the large-scale contribution prevails,
resulting in a nearly universal DOS correction. The peculiarity of Friedel
oscillations in three dimensions is that the contributions from small and large
scales are typically comparable, making the DOS correction sensitive to the
details of the interaction and demonstrating a significant particle-hole
asymmetry. On the other hand, we show that the non-analytic part of the DOS is
determined by large scales and can be expressed in terms of the Fermi-surface
characteristics only. | | Source: | arXiv, 1910.4715 | | Services: | Forum | Review | PDF | Favorites | |
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