A note on Anderson localization for the random hopping model

DOI10.1063/1.1616998zbMath1062.82049OpenAlexW2045443424MaRDI QIDQ4833159

Frédéric Klopp, Shu Nakamura

Publication date: 14 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/cc29948df0388f822b11d01367d4ce0e0aa7499e

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Random linear operators (47B80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (10)

The rainbow connection number of the power graph of a finite group ⋮ Landscape approximation of the ground state eigenvalue for graphs and random hopping models ⋮ Lifshitz tails on the Bethe lattice: A combinatorial approach ⋮ Dyson's spike for random Schroedinger operators and Novikov-Shubin invariants of groups ⋮ Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs ⋮ Eigenvalue statistics for lattice Hamiltonian with off-diagonal disorder ⋮ Equality of Lifshitz and van Hove exponents on amenable Cayley graphs ⋮ Localization on quantum graphs with random edge lengths ⋮ Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence ⋮ Decorrelation estimates for random discrete Schrödinger operators in dimension one and applications to spectral statistics

Cites Work

• A new proof of localization in the Anderson tight binding model
• Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1
• On the spectrum of Schrödinger operators with a random potential
• Weak disorder localization and Lifshitz tails
• Lifshitz tail for 2D discrete Schrödinger operator with random magnetic field.
• Lifshitz tail for Schrödinger operator with random magnetic field
• Bootstrap multiscale analysis and localization in random media

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