Scientific article

Many‐body localization from the perspective of Integrals of Motion

Published inAnnalen der Physik, vol. 529, no. 7, 1600322
Publication date2017-03-27
First online date2017-03-27

We study many-body localization (MBL) and delocalization from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. However, IOMs exist for all many-body systems, and non-localized IOMs determine properties on the ergodic side of the MBL transition too. Here we explore their properties using our method of displacement transformations. We show how different quantities can be calculated using the IOMs as an expansion in the number of operators. For all values of disorder the typical IOMs are localized, suggesting the importance of rare fluctuations in understanding the delocalization transition.

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Citation (ISO format)
RADEMAKER, Louk, ORTUÑO, Miguel, SOMOZA, Andres M. Many‐body localization from the perspective of Integrals of Motion. In: Annalen der Physik, 2017, vol. 529, n° 7, p. 1600322. doi: 10.1002/andp.201600322
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Article (Published version)
ISSN of the journal0003-3804

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