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

@article{Antonenko2019BallisticCT, title={Ballistic correction to the density of states in an interacting three-dimensional metal}, author={Daniil S. Antonenko and Mikhail A. Skvortsov}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2019} }

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… Expand

#### One Citation

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#### References

SHOWING 1-10 OF 45 REFERENCES

Zero-bias anomaly in two-dimensional electron layers and multiwall nanotubes

- Physics
- 2002

The zero-bias anomaly in the dependence of the tunneling density of states ν(∈) on the energy ∈ of the tunneling particle for two- and one-dimensional multilayered structures is studied. We show that… Expand

Quasiballistic correction to the density of states in three-dimensional metal

- Physics
- 2000

We study the exchange correction to the density of states in three-dimensional metal near the Fermi energy. In the ballistic limit, when the distance to the Fermi level exceeds the inverse transport… Expand

Electron-electron interactions in disordered metals: keldysh formalism

- Physics
- 1999

We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In… Expand

Energy relaxation rate and its mesoscopic fluctuations in quantum dots

- Physics
- 2016

We analyze the applicability of the Fermi-golden-rule description of quasiparticle relaxation in a closed diffusive quantum dot with electron-electron interaction. Assuming that single-particle… Expand

TUNNELING ZERO-BIAS ANOMALY IN THE QUASIBALLISTIC REGIME

- Physics
- 1997

We study the tunneling density of states (DOS) of the interacting electron gas beyond the diffusive limit. A strong correction to the DOS persists even at electron energies exceeding the inverse… Expand

Coulomb gap in a doped semiconductor near the metal-insulator transition: Tunneling experiment and scaling ansatz

- Materials Science, Physics
- 1999

Electron tunneling experiments are used to probe Coulomb correlation effects in the single-particle density-of-states (DOS) of boron-doped silicon crystals near the critical density of the… Expand

Density-of-states anomalies in a disordered conductor: A tunneling study

- Materials Science
- 1982

Results of single-particle tunneling experiments performed on films of indium oxide are presented. The zero-bias anomalies change character with decreasing thickness from a three-dimensional behavior… Expand

Coulomb Zero-Bias Anomaly: A Semiclassical Calculation

- Physics
- 1995

Effective action is proposed for the problem of Coulomb blocking of tunneling. The approach is well suited to deal with the “strong coupling” situation near zero bias, where perturbation theory… Expand

Contribution to the theory of disordered metals in strongly doped semiconductors

- Physics
- 1979

We investigate the influence of interference of the interaction between conduction electrons and their elastic scattering by static inhomogeneities in metals and in degenerate semiconductors. It is… Expand

The Anderson-Mott transition

- Physics
- 1994

The interacting disordered electron problem is reviewed with emphasis on the quantum phase transitions that occur in a model system and on the field-theoretic methods used to describe them. An… Expand