A minimal approach for the local statistical properties of a one-dimensional disordered wire
From MaRDI portal
Publication:5694136
DOI10.1088/0305-4470/38/25/010zbMATH Open1072.82016arXivcond-mat/0504444OpenAlexW2069508149MaRDI QIDQ5694136
Author name not available (Why is that?)
Publication date: 29 September 2005
Published in: (Search for Journal in Brave)
Abstract: We consider a one-dimensional wire in gaussian random potential. By treating the spatial direction as imaginary time, we construct a `minimal' zero-dimensional quantum system such that the local statistical properties of the wire are given as products of statistically independent matrix elements of the evolution operator of the system. The space of states of this quantum system is found to be a particular non-unitary, infinite dimensional representation of the pseudo-unitary group, U(1,1). We show that our construction is minimal in a well defined sense, and compare it to the supersymmetry and Berezinskii techniques.
Full work available at URL: https://arxiv.org/abs/cond-mat/0504444
No records found.
No records found.
This page was built for publication: A minimal approach for the local statistical properties of a one-dimensional disordered wire
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5694136)
