9 papers
Anderson localization on the Bethe lattice
Dafne Prado Bandeira, Angelica Vecchiarelli, Marco Tarzia
Anderson localization is a paradigmatic disorder-driven quantum phase transition in which interference effects can completely suppress wave propagation. Its formulation on the Beth…
Geometry and localization: Probing Localization Landscape Theory on the Bethe Lattice
Lorenzo Tonetti, Leticia F. Cugliandolo, Marco Tarzia
The Localization Landscape Theory (LLT) offers a classical analogy for understanding Anderson localization through an effective confining potential, whose percolation threshold has…
Anderson Localization on Husimi Trees and its implications for Many-Body localization
Dafne Prado Bandeira, Marco Tarzia
Motivated by the analogy between many-body localization (MBL) and single-particle Anderson localization on hierarchical graphs, we study localization on the Husimi tree, a generali…
Testing the Localization Landscape Theory on the Bethe Lattice
Lorenzo Tonetti, Leticia F. Cugliandolo, Marco Tarzia
The Localization Landscape Theory (LLT) provides a classical picture of Anderson localization by introducing an effective confining potential whose percolation is proposed to coinc…
Large deviations in the many-body localization transition: The case of the random-field XXZ chain
Greivin Alfaro Miranda, Fabien Alet, Giulio Biroli +3
The effect of rare system-wide resonances in the many-body localization (MBL) transition has recently attracted significant attention. They are expected to play a prominent role in…
Percolation and criticality of systems with competing interactions on Bethe lattices: limitations and potential strengths of cluster schemes
Greivin Alfaro Miranda, Mingyuan Zheng, Patrick Charbonneau +3
The random clusters introduced by Fortuin and Kasteleyn (FK) and analyzed by Coniglio and Klein (CK) for Ising and related models have led first Swendsen and Wang and then Wolff to…