English

Quantum conductance fluctuations in 3D ballistic adiabatic wires.

Condensed Matter 2016-08-31 v1

Abstract

Quantum conductance of 3D ballistic wires with idealy flat boundaries obeys fluctuations with the properties quite distinguishable from those of universal conductance fluctuations: Both their amplitude and the sensitivity to the magnetic field flux Φ=HS\Phi =HS penetrated into the sample cross-sectional area SS are different and depend on details of the cross-sectioanl shape of the wire. When the latter is integrable, conductance fluctuations have the enlarged amplitude δG[(e2/h)3G]1/4\delta G\sim\left[(e^2/h)^3G\right]^{1/4}. When the cross-sectional shape of a wire is non-integrable, the irregular part of a conductance has the e2/he^ 2/h scale, whereas the correlation field is reduced to the value of HS(λF/S)1/2(Φ0/S)H_S\sim (\lambda_F/\sqrt S)^{1/2}(\Phi_0/S) and the correlation voltage of the nonlinear conductance fluctuations has the scale of eVc2/mSEF/(S/λF)eV_c\sim\hbar^2/mS\sim E_F/(S/\lambda_F), where λF=1/pF\lambda_F=1/p_F is the Fermi wavelength.

Keywords

Cite

@article{arxiv.cond-mat/9503097,
  title  = {Quantum conductance fluctuations in 3D ballistic adiabatic wires.},
  author = {Vladimir I. Fal'ko and G. B. Lesovik},
  journal= {arXiv preprint arXiv:cond-mat/9503097},
  year   = {2016}
}

Comments

5 pages, no pictures, to be published in "Coulomb and Interference Effects in Small Electronic Structures", ed. by D.Glattli, M.Sanquer and J.T.T.Van.