Tunneling zero-bias anomaly in the quasiballistic regime

Abstract

For the first time, 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 transport relaxation time, which could not be expected from the well-known Altshuler-Aronov-Lee (AAL) theory. This correction originates from the interference between the electron waves scattered by an impurity and by the Friedel oscillation this impurity creates. Account for such processes also revises the AAL formula for the DOS in the diffusive limit.

Interaction-induced magnetoresistance in a two-dimensional electron gas

“…with one regular part of the propagator inserted between two singular diffusons, D s = (Dq 2 − iω) −1 . Indeed, in view of n α D reg n β = 1 2 T αβ , the latter contribution reduces to − 1 2 D s 2 T αβ , while the diagrams a, b and c yield 47) where ǫ αβ is the antisymmetric tensor, ǫ xx = ǫ yy = 0, ǫ xy = −ǫ yx = 1. It remains thus to calculate only the contribution of the diagrams d + e with three singular diffusons, 48) in agreement with 1,10,11 .…”

“…Using the result (3.9) for the corresponding kernel B xy , we get the exchange contribution for the case of a point-like interaction 47) where the temperature dependence of the correction is governed by the function…”

“…Specifically, the renormalization occurs due to the interference of two waves, one scattered off the impurity and another scattered off the Friedel oscillations created by the impurity 18,47 . The interference contribution is proportional to the probability W (π) of backscattering off the impurity (see Appendix C) and hence, to the return probability after a single-scattering event, as discussed above.…”

Effect of strong correlations on the disorder-induced zero bias anomaly in the two-site Anderson-Hubbard model

“…A variety of physical explanations for the Altshuler-Aronov ZBA have been given, 6,12,13 and in this work we adopt the language of level repulsion. 14 We consider an ensemble of two-site AHMs with randomly chosen site energies.…”

Boson-assisted tunneling in layered metals

“…ii) In contrast to the case of the interaction corrections to tunneling and transport conductivities in the ballistic regime 50,51 , which are determined by the interaction on a large spatial scale (of order of the ballistic Thouless length v F /T ), the electron-assisted tunneling conductivity is determined by the interaction at small distances (of order of the screening radius). At these distances, the RPA works only for weak interactions, i.e., for e 2 /v F ≪ 1, and Eq.…”