Transfer Matrix Approach to Quantum Transport in a Driven Mesoscopic Ring

Quantum master-equation approach to quantum transport through mesoscopic systems

For quantum transport through mesoscopic systems, a quantum master-equation approach is developed in terms of compact expressions for the transport current and the reduced density matrix of the system. The present work is an extension of Gurvitz’s approach for quantum transport and quantum measurement, namely, to finite temperature and arbitrary bias voltage. Our derivation starts from a second...

Bulk-driven non-equilibrium phase transitions in a mesoscopic ring

We study a periodic one-dimensional exclusion process composed of a driven and a diffusive part. In a mesoscopic limit where both dynamics compete we identify bulk-driven phase transitions. We employ mean-field theory complemented by Monte-Carlo simulations to characterize the emerging non-equilibrium steady states. Monte-Carlo simulations reveal interesting correlation effects that we explain ...

Electron transport through a quantum wire coupled with a mesoscopic ring

Electronic transport through a quantum wire sandwiched between two metallic electrodes and coupled to a quantum ring, threaded by a magnetic flux φ, is studied. An analytic approach for the electron transport through the bridge system is presented based on the tight-binding model. The transport properties are discussed in three aspects: (a) presence of an external magnetic filed, (b) strength o...

Mesoscopic Transport: the Electron-gas Sum Rules in a Driven Quantum Point Contact

In this paper we review the structure of the conserving sum rules in the mesoscopic regime, from the weakest driving fields to the strongest. As compact quantitative expressions of the microscopic conservation laws, the sum rules entail a set of straightforward criteria to be met by proper theoretical descriptions of metallicelectron behavior. As we discuss below, these criteria are quite enoug...

Quantum Transport: Persistent Current in Mesoscopic Loops