Analytically solvable renormalization group for the many-body localization transition

A. Goremykina, R. Vasseur, M. Serbyn, Physical Review Letters 122 (2019) 040601.

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Journal Article | Published | English
Author
Goremykina, Anna; Vasseur, Romain; Serbyn, MaksymIST Austria
Department
Abstract
We introduce a simple, exactly solvable strong-randomness renormalization group (RG) model for the many-body localization (MBL) transition in one dimension. Our approach relies on a family of RG flows parametrized by the asymmetry between thermal and localized phases. We identify the physical MBL transition in the limit of maximal asymmetry, reflecting the instability of MBL against rare thermal inclusions. We find a critical point that is localized with power-law distributed thermal inclusions. The typical size of critical inclusions remains finite at the transition, while the average size is logarithmically diverging. We propose a two-parameter scaling theory for the many-body localization transition that falls into the Kosterlitz-Thouless universality class, with the MBL phase corresponding to a stable line of fixed points with multifractal behavior.
Publishing Year
Date Published
2019-02-01
Journal Title
Physical Review Letters
Volume
122
Issue
4
Article Number
040601
IST-REx-ID

Cite this

Goremykina A, Vasseur R, Serbyn M. Analytically solvable renormalization group for the many-body localization transition. Physical Review Letters. 2019;122(4):040601. doi:10.1103/physrevlett.122.040601
Goremykina, A., Vasseur, R., & Serbyn, M. (2019). Analytically solvable renormalization group for the many-body localization transition. Physical Review Letters, 122(4), 040601. https://doi.org/10.1103/physrevlett.122.040601
Goremykina, Anna, Romain Vasseur, and Maksym Serbyn. “Analytically Solvable Renormalization Group for the Many-Body Localization Transition.” Physical Review Letters 122, no. 4 (2019): 040601. https://doi.org/10.1103/physrevlett.122.040601.
A. Goremykina, R. Vasseur, and M. Serbyn, “Analytically solvable renormalization group for the many-body localization transition,” Physical Review Letters, vol. 122, no. 4, p. 040601, 2019.
Goremykina A, Vasseur R, Serbyn M. 2019. Analytically solvable renormalization group for the many-body localization transition. Physical Review Letters. 122(4), 040601.
Goremykina, Anna, et al. “Analytically Solvable Renormalization Group for the Many-Body Localization Transition.” Physical Review Letters, vol. 122, no. 4, APS, 2019, p. 040601, doi:10.1103/physrevlett.122.040601.

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