The supersymmetric transfer matrix for linear chains with nondiagonal disorder.

DOI10.1007/BF01019159zbMath1084.82516MaRDI QIDQ1963569

Florian Constantinescu

Publication date: 2 February 2000

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

zbMATH Keywords

Green's functiondisordered systemsSupersymmetric transfer matrix

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

The correlated Jacobi and the correlated Cauchy-Lorentz ensembles ⋮ Transfer matrix approach to 1D random band matrices: density of states ⋮ Random matrices with row constraints and eigenvalue distributions of graph Laplacians ⋮ The density of states of 1D random band matrices via a supersymmetric transfer operator ⋮ Integration of Grassmann variables over invariant functions on flat superspaces ⋮ Local tail statistics of heavy-tailed random matrix ensembles with unitary invariance ⋮ Asymptotic coincidence of the statistics for degenerate and non-degenerate correlated real Wishart ensembles

Cites Work

• A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model
• A rigorous replica trick approach to Anderson localization in one dimension
• Analyticity of density of states in a gauge-invariant model for disordered electronic systems.

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