Statistics of Transmission Eigenvalues for a Disordered Quantum Point Contact

Abstract

We study the distribution of transmission eigenvalues of a quantum point contact with nearby impurities. In the semi-classical case (the chemical potential lies at the conductance plateau) we find that the transmission properties of this system are obtained from the ensemble of Gaussian random reflection matrices. The distribution only depends on the number of open transport channels and the average reflection eigenvalue and crosses over from the Poissonian for one open channel to the form predicted by the circuit theory in the limit of large number of open channels.

8 pages, 3 figures

References in corpus (1)

• Quantum properties of atomic-sized conductors

Cited by in corpus (4)

• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• $G_Q$-corrections in Circuit Theory of Quantum Transport
• Order, disorder and tunable gaps in the spectrum of Andreev bound states in a multi-terminal superconducting device
• Statistical analysis of the transmission based on the DMPK equation: An application to Pb nano-contacts