On the Bethe lattice the LLT percolation transition is mean-field while the Anderson transition is not, showing LLT reproduces some low-disorder features but fails to capture quantum critical properties.
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cond-mat.dis-nn 3years
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Local loops on Husimi trees reduce the critical disorder for Anderson localization and increase the spatial extent of localized eigenstates, providing a better single-particle analogy for many-body localization.
Pedagogical review of the cavity equations, order parameter, and critical behavior for Anderson localization on the Bethe lattice.
citing papers explorer
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Geometry and localization: Probing Localization Landscape Theory on the Bethe Lattice
On the Bethe lattice the LLT percolation transition is mean-field while the Anderson transition is not, showing LLT reproduces some low-disorder features but fails to capture quantum critical properties.
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Anderson Localization on Husimi Trees and its implications for Many-Body localization
Local loops on Husimi trees reduce the critical disorder for Anderson localization and increase the spatial extent of localized eigenstates, providing a better single-particle analogy for many-body localization.
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Anderson localization on the Bethe lattice
Pedagogical review of the cavity equations, order parameter, and critical behavior for Anderson localization on the Bethe lattice.