Localization in Hermitian and non Hermitian random chains

by Naomichi Hatano

at Physics Colloquium

Tue, 29 Nov 2016, 15:00
Nanotechnology institute building (#51) room 15

Abstract

The Anderson localization though originally proposed for the electronic conduction in disordered metals is now recognized as a ubiquitous phenomenon that occurs when a wave tries to propagate in a random medium The incident wave when it interferes with waves randomly scattered by the medium may not be allowed to propagate throughout the system in other words may be localized We here show yet another incident of the Anderson localization in a non Hermitian random chain 1 2 Before going into the main topic however we first review a study in 90s when we introduce a non Hermitian gauge field to Hermitian random chains 3 We were able to obtain the localization length a piece of information on the eigenvectors only from the complex spectrum of eigenvalues This fact carries onto the non Hermitian random chain whose complex spectrum changes in a interesting way when a non Hermitian gauge field is introduced This work is under collaboration with Ariel Amir David Nelson and Joshua Feinberg References 1 A Amir N Hatano and D R Nelson PRE 93 042310 2016 2 N Hatano and J Feinberg arXiv:1603 06187 2016 3 N Hatano and D R Nelson PRL 77 570 1996 PRB 56 8651 1997 Refreshments are served at 14:40pm

Created on 22-10-2016 by Bar Lev, Yevgeny (ybarlev)
Updaded on 22-10-2016 by Bar Lev, Yevgeny (ybarlev)