Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session R25: Disorder and Localization in AMO Systems III: Many-body Localization
8:00 AM–11:00 AM,
Thursday, March 7, 2019
BCEC Room: 160A
Sponsoring Units: DAMOP DCMP
Chair: Fernando Sols, Complutense University
Abstract: R25.00004 : Dephasing Beyond the Markovian Limit; Implications for Many-Body Localization
8:36 AM–8:48 AM
For an isolated fermion system with short-ranged interactions, dephasing is due to diffusive (strongly non-Markovian) thermal density fluctuations. A previous study identified a nontrivial RG fixed point in 4 – epsilon dimensions, at which the dephasing time diverges (Liao and Foster, PRL 2018). By contrast, long-range Coulomb interactions provide an approximately Markovian bath. A perfectly Markovian bath dephases at any nonzero temperature (Altshuler, Aronov, Khmelnitsky 1982).
We perturb about the exactly solvable Markovian limit, which we re-interpret as an exact, infinite-order diagrammatic summation. Using explicit calculations and scaling arguments, we will describe results beyond the Markovian limit in 1D and 2D.
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