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24 papers · 1 filter
Kardar-Parisi-Zhang and glassy properties in 2D Anderson localization: eigenstates and wave packets
Noam Izem, Bertrand Georgeot, Jiangbin Gong +2
Despite decades of research, the universal nature of fluctuations in disordered quantum systems remains poorly understood. Here, we present extensive numerical evidence that fluctu…
2D Anderson Localization and KPZ sub-Universality Classes : sensitivity to boundary conditions and insensitivity to symmetry classes
Nyayabanta Swain, Shaffique Adam, Gabriel Lemarié
We challenge two foundational principles of localization physics by analyzing conductance fluctuations in two dimensions with unprecedented precision: (i) the Thouless criterion, w…
Critical Dynamics of the Anderson Transition on Small-World Graphs
Weitao Chen, Ignacio García-Mata, John Martin +3
The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we…
Universal fluctuations of localized two interacting particles in one dimension
Sen Mu, Gabriel Lemarié, Jiangbin Gong
We investigate the universal fluctuations of localized wavefunction in the Fock space of two interacting particles in one-dimensional disordered systems, focusing on the interplay…
Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
Jeanne Colbois, Fabien Alet, Nicolas Laflorencie
Motivated by recent debates around the many-body localization (MBL) problem, and in particular its stability against systemwide resonances, we investigate long-distance spin-spin c…
Describing the critical behavior of the Anderson transition in infinite dimension by random-matrix ensembles: logarithmic multifractality and critical localization
Weitao Chen, Olivier Giraud, Jiangbin Gong +1
Due to their analytical tractability, random matrix ensembles serve as robust platforms for exploring exotic phenomena in systems that are computationally demanding. Building on a…