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.
Warzel, inXVIIth International Congress on Math- ematical Physics(World Scientific, Singapore, 2012), pp
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Pedagogical review of the cavity equations, order parameter, and critical behavior for Anderson localization on the Bethe lattice.
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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 the Bethe lattice
Pedagogical review of the cavity equations, order parameter, and critical behavior for Anderson localization on the Bethe lattice.