Explicit Local Integrals of Motion for the Many-Body Localized State

Physical Review Letters
Louk Rademaker, Miguel Ortuño

Abstract

Recently, it has been suggested that the many-body localized phase can be characterized by local integrals of motion. Here we introduce a Hilbert-space-preserving renormalization scheme that iteratively finds such integrals of motion exactly. Our method is based on the consecutive action of a similarity transformation using displacement operators. We show, as a proof of principle, localization and the delocalization transition in interacting fermion chains with random on-site potentials. Our scheme of consecutive displacement transformations can be used to study many-body localization in any dimension, as well as disorder-free Hamiltonians.

References

Aug 1, 1994·Physical Review. B, Condensed Matter·D S Fisher
Mar 1, 1995·Physical Review. B, Condensed Matter·D S Fisher
Feb 26, 2013·Physical Review Letters·Ronen Vosk, Ehud Altman
Oct 8, 2013·Physical Review Letters·Maksym SerbynDmitry A Abanin

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Citations

Jul 25, 2017·Journal of Physics. Condensed Matter : an Institute of Physics Journal·R Wortis, Malcolm P Kennett
Nov 1, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Pedro PonteA Chandran
Mar 12, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Amos Chan, Thorsten B Wahl
Sep 8, 2018·Physical Review Letters·Chun ChenAnushya Chandran
Oct 1, 2016·Physical Review Letters·Stephen Inglis, Lode Pollet
Jun 30, 2018·Physical Review Letters·Maciej KozarzewskiMarcin Mierzejewski
Sep 28, 2017·Physical Review Letters·David PekkerGil Refael
Oct 20, 2018·Physical Review Letters·Thimothée ThieryWojciech De Roeck

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