Interference effects at electron tunneling

TL;DR

This paper investigates interference patterns in electron tunneling between two 2D lattice fermion systems connected via point contacts, analyzing local density and current distributions in the stationary state.

Contribution

It provides a detailed analysis of interference effects in electron tunneling between lattice fermion systems, highlighting the correlation between local density and currents.

Findings

Interference patterns depend on interaction details.

Local density and currents are correlated.

Stationary state distributions exhibit clear interference effects.

Abstract

Two infinite, two-dimensional, lattice, free fermion systems, initially in different invariant states, are allowed to communicate via two point contacts, through which direct tunneling of fermions takes place. Calculations of the local particle-density and of the local particle-currents distributions, performed in the final stationary state, exhibit neat interference patterns. Their dependence on the interaction details is discussed on examples. The local density and local currents are shown to be correlated.