Localization of interacting random particles with power-law long-range hopping

In this paper, we study the interacting random particles with power-law long-rang hopping. Via the multi-scale analysis arguments for the Green's function, we establish the power-law localization for all energy with strong disorder.

Publication Details

Journal
ArXiv.org
Published
2025-03-25
Primary Topic
Random Matrices and Applications
Type
article
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article

Localization of interacting random particles with power-law long-range hopping

ArXiv.org
Random Matrices and Applications
article

Localization of interacting random particles with power-law long-range hopping

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Abstract

In this paper, we study the interacting random particles with power-law long-rang hopping. Via the multi-scale analysis arguments for the Green's function, we establish the power-law localization for all energy with strong disorder.

ArXiv.org
Openalex Percentile: Top 45%
Random Matrices and Applications
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Localization of interacting random particles with power-law long-range hopping · ArXiv.org (2025) | TGRS Research Map | TGRS