Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors
K. A. Muttalib, J. R. Klauder
TL;DR
This paper introduces a generalized Fokker-Planck equation extending the DMPK framework to multichannel disordered quantum conductors beyond quasi-one-dimensional systems, enabling broader analysis of mesoscopic transport.
Contribution
A one-parameter generalization of the DMPK equation is derived, expanding its applicability to higher-dimensional disordered quantum conductors.
Findings
Generalized equation broadens scope beyond quasi-one-dimensional systems
Enables analysis of more complex mesoscopic conductors
Potentially improves understanding of quantum transport phenomena
Abstract
The Dorokhov-Mello-Pereyra-Kumar (DMPK) equation, which describes the distribution of transmission eigenvalues of multichannel disordered conductors, has been enormously successful in describing a variety of detailed transport properties of mesoscopic wires. However, it is limited to the regime of quasi one dimension only. We derive a one parameter generalization of the DMPK equation, which should broaden the scope of the equation beyond the limit of quasi one dimension.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.