TY - JOUR

T1 - Ballistic correction to the density of states in an interacting three-dimensional metal

AU - Antonenko, Daniil S.

AU - Skvortsov, Mikhail A.

PY - 2020/2/12

Y1 - 2020/2/12

N2 - 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-EF, 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 -vF/|E-EF|, where vF is the Fermi velocity. 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 nonanalytic part of the DOS is determined by large scales and can be expressed in terms of the Fermi-surface characteristics only.

AB - 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-EF, 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 -vF/|E-EF|, where vF is the Fermi velocity. 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 nonanalytic part of the DOS is determined by large scales and can be expressed in terms of the Fermi-surface characteristics only.

UR - http://www.scopus.com/inward/record.url?scp=85079757625&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.101.064204

DO - 10.1103/PhysRevB.101.064204

M3 - Article

AN - SCOPUS:85079757625

VL - 101

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 6

M1 - 064204

ER -