Absence of a direct metal to Mott insulator transition for disordered interacting fermions on the Cayley tree
arxiv(2023)
摘要
Interacting fermions in the presence of disorder pose one of the most
challenging problems in condensed matter physics, primarily due to the absence
of accurate numerical tools. Our investigation delves into the intricate
interplay between interaction-induced Mott insulation and disorder-driven
Anderson localization in the Hubbard model subjected to a random potential. On
the Cayley tree, the application of statistical dynamical mean-field theory
proves adept at discerning among a metal and the two distinct insulators,
Anderson or Mott. Our comprehensive analysis, accounting for subtle yet potent
finite-size effects and fluctuations, yields a noteworthy finding: in the
presence of disorder, we consistently observe an intervening Anderson-localized
regime between the metallic and Mott insulator states. This observation
intriguingly mirrors scenarios witnessed in dirty Bosons, where an insulating
Bose glass phase consistently emerges between the superfluid and Mott phases.
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