<p>In this paper, we investigate interacting random particles with power-law long-range hopping. Through the multi-scale analysis of Green’s functions, we prove that power-law localization occurs for all energy regimes under strong disorder.</p>

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Localization of Interacting Random Particles with Power-Law Long-Range Hopping

  • Wenwen Jian,
  • Yingte Sun

摘要

In this paper, we investigate interacting random particles with power-law long-range hopping. Through the multi-scale analysis of Green’s functions, we prove that power-law localization occurs for all energy regimes under strong disorder.