Conductance Distribution of a Quantum Dot with Non-Ideal Single-Channel Leads

TL;DR

This paper analyzes the conductance distribution of a quantum dot connected via non-ideal single-channel leads, covering the full range of transmission probabilities and symmetry classes, bridging previous theoretical regimes.

Contribution

It provides a comprehensive theory for conductance distribution in quantum dots with arbitrary lead transmission, extending previous models limited to ideal or tunneling contacts.

Findings

Distribution changes significantly across the crossover regime

Beta-dependence varies with transmission probability

Theory applicable to experimental setups in crossover regime

Abstract

We have computed the probability distribution of the conductance of a ballistic and chaotic cavity which is connected to two electron reservoirs by leads with a single propagating mode, for arbitrary values of the transmission probability Gamma of the mode, and for all three values of the symmetry index beta. The theory bridges the gap between previous work on ballistic leads (Gamma = 1) and on tunneling point contacts (Gamma << 1). We find that the beta-dependence of the distribution changes drastically in the crossover from the tunneling to the ballistic regime. This is relevant for experiments, which are usually in this crossover regime. ***Submitted to Physical Review B.***