Anderson transition on the Cayley tree as a traveling wave critical point for various probability distributions

DOI10.1088/1751-8113/42/7/075002zbMath1165.82010arXiv0811.1422OpenAlexW2063505006MaRDI QIDQ3612164

Thomas Garel, Cécile Monthus

Publication date: 3 March 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1422

zbMATH Keywords

entropytraveling waveswave functionlocalized phasedelocalized phaseLandauer transmission

Mathematics Subject Classification ID

Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (6)

The large connectivity limit of the Anderson model on tree graphs ⋮ Last passage percolation and traveling fronts ⋮ Lifshitz tails on the Bethe lattice: A combinatorial approach ⋮ Dynamical barriers for the random ferromagnetic Ising model on the Cayley tree: traveling-wave solution of the real space renormalization flow ⋮ Dynamical barriers of pure and random ferromagnetic Ising models on fractal lattices ⋮ Finite size scaling for the many-body-localization transition: finite-size-pseudo-critical points of individual eigenstates

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