2009/07/31 by Amit Agarwal, Sourin Das, Diptiman Sen · 13 citations
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Computer science #Dissipation #Electrical engineering #Engineering #Mechanical engineering #Physics #Power (physics) #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Thermal management of electronic devices and systems #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.81.035324
published in Physical Review B 81(3) (American Physical Society) · 9 pages, 4 figures; made several minor changes; this is the published version
openalex publication_date 2010/01/15 · arxiv created 2010/01/16 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study power dissipation for systems of multiple quantum wires meeting at a junction, in terms of a current splitting matrix (\mathbbM) describing the junction. We present a unified framework for studying dissipation for wires with either interacting electrons (i.e., Tomonaga-Luttinger liquid wires with Fermi-liquid leads) or noninteracting electrons. We show that for a given matrix \mathbbM, the eigenvalues of \mathbbMT\mathbbM characterize the dissipation, and the eigenvectors identify the combinations of bias voltages which need to be applied to the different wires in order to maximize the dissipation associated with the junction. We use our analysis to propose and study some microscopic models of a dissipative junction which employ the edge states of a quantum Hall liquid. These models realize some specific forms of the \mathbbM matrix whose entries depends on the tunneling amplitudes between the different edges.