Localization of interacting fermions at high temperature

Localization of interacting fermions at high temperature

February 6, 2008 | Vadim Oganesyan, David A. Huse
The paper by Vadim Oganessyan and David A. Huse explores the localization of interacting fermions at high temperatures. They argue that if a localized phase exists at zero temperature for strongly disordered and weakly interacting electrons, it should also occur when both disorder and interactions are strong and at very high temperatures. The authors study one-dimensional lattice models of interacting spinless fermions in a random potential using exact diagonalization to investigate the localization transition. They find that the spectral statistics of finite-size samples crossover from Poisson-like behavior at weak randomness to GOE-like behavior at strong randomness. However, deviations from simple one-parameter finite-size scaling are observed, with the apparent mobility edge "drifting" as the system size increases. Based on these findings, they conclude that spectral statistics alone do not strongly support the existence of a many-body localized phase at nonzero temperature. The authors suggest that further exploration of other approaches is needed to better understand the proposed many-body localization transition.The paper by Vadim Oganessyan and David A. Huse explores the localization of interacting fermions at high temperatures. They argue that if a localized phase exists at zero temperature for strongly disordered and weakly interacting electrons, it should also occur when both disorder and interactions are strong and at very high temperatures. The authors study one-dimensional lattice models of interacting spinless fermions in a random potential using exact diagonalization to investigate the localization transition. They find that the spectral statistics of finite-size samples crossover from Poisson-like behavior at weak randomness to GOE-like behavior at strong randomness. However, deviations from simple one-parameter finite-size scaling are observed, with the apparent mobility edge "drifting" as the system size increases. Based on these findings, they conclude that spectral statistics alone do not strongly support the existence of a many-body localized phase at nonzero temperature. The authors suggest that further exploration of other approaches is needed to better understand the proposed many-body localization transition.
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