Nonequilibrium plasmons and transport properties of a double-junction quantum wire

Abstract

We study theoretically the current-voltage characteristics, shot noise, and full counting statistics of a quantum wire double barrier structure. We model each wire segment by a spinless Luttinger liquid. Within the sequential tunneling approach, we describe the system's dynamics using a master equation. We show that at finite bias the non-equilibrium distribution of plasmons in the central wire segment leads to increased average current, enhanced shot noise, and full counting statistics corresponding to a super-Poissonian process. These effects are particularly pronounced in the strong interaction regime, while in the non-interacting case we recover results obtained earlier using detailed balance arguments.

Electron-pairing in the quantum Hall regime due to neutralon exchange

“…A detailed derivation of Eq. ( 23) can be found in Appendix A 28,36 . The addition and subtractions energies are obtained from Eq.…”

“…Knowledge of the transition rates for electron tunneling allows us to set up a rate equation to describe the transport properties of the interferometer, and understand the effect of interactions. The time evolution of the probability that the system is in configuration N 1 , N 2 , {n} ρ , {n} σ at time t is governed by the master equation 28,36,37…”

“…It order to compute the transport current and noise in an efficient way, it is useful to recast the previous equations in a matrix notation 36 . To that end, we collect the state probabilities p (N 1 , N 2 , {n} ρ , {n} σ , t) into the probability vector p(t)…”