Transport in Single Channel Quantum Wires

Amir Yacoby

Vanita Srinivasa, Jeremy Levy, C. Stephen Hellberg

Reinhold Egger, Hermann Grabert

The Landauer approach to transport in mesoscopic conductors has been generalized to allow for strong electronic correlations in a single-channel quantum wire. We describe in detail how to account for external voltage sources in adiabatic contact with a quantum wire containing a backscatterer of arbitrary strength. Assuming that the quantum wire is in the Luttinger liquid state, voltage sources lead to radiative boundary conditions applied to the displacement field employed in the bosonization scheme. We present the exact solution of the transport problem for arbitrary backscattering strength at the special Coulomb interaction parameter $g=1/2.$

Michael P Lilly, John L. Reno, Edward S. Bielejec +1 more

Kevin Leung, Reinhold Egger, Chi H. Mak

Transport of single-channel spinless interacting fermions (Luttinger liquid) through a barrier has been studied by numerically exact quantum Monte Carlo methods. A novel stochastic integration over the real-time paths allows for direct computation of nonequilibrium conductance and noise properties. We have examined the low-temperature scaling of the conductance in the crossover region between a very weak and an almost insulating barrier.

Zulqarnyn Ashraf, Syed Sikandar