Correlation of local densities of states on mesoscopic energy scales in random band matrices

Louis, Justine Simone

doi:10.1007/s11005-023-01690-y

Scientific article

English

Correlation of local densities of states on mesoscopic energy scales in random band matrices

ContributorsLouis, Justine Simone

Published inLetters in mathematical physics, vol. 113, no. 4, p. 1-19; 79

Publication date2023-07-06

First online date2023-07-06

Abstract

We are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of width W in dimension 2. As a result, we show that the local densities of states are alternately positively and negatively correlated in the diffusive regime O(log(L/W)) times, L being the size of the system.

Keywords

Correlation function
Random band matrices
Phase transition

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

LOUIS, Justine Simone. Correlation of local densities of states on mesoscopic energy scales in random band matrices. In: Letters in mathematical physics, 2023, vol. 113, n° 4, p. 1–19. doi: 10.1007/s11005-023-01690-y

Article (Published version)

CC BY-4.0

Identifiers

PID : unige:180105
DOI : 10.1007/s11005-023-01690-y

Commercial URLhttps://link.springer.com/10.1007/s11005-023-01690-y

ISSN of the journal0377-9017

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Correlation of local densities of states on mesoscopic energy scales in random band matrices

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