Analyticity of density of states in a gauge-invariant model for disordered electronic systems.

DOI10.1007/BF01019679zbMath1084.82549OpenAlexW2082138178MaRDI QIDQ1963582

Antti Kupiainen, Krzysztof Gawędzki, Giovanni Felder, Florian Constantinescu

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01019679

zbMATH Keywords

random matricesDisordered systemsWegner's model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Classical equilibrium statistical mechanics (general) (82B05)

Related Items

Supersymmetric cluster expansions and applications to random Schrödinger operators, Density of states for random band matrices in two dimensions, A supersymmetric hierarchical model for weakly disordered \(3d\) semimetals, The supersymmetric transfer matrix for linear chains with nondiagonal disorder., DENSITY OF STATES FOR GUE THROUGH SUPERSYMMETRIC APPROACH, Universality of the local regime for the block band matrices with a finite number of blocks, Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness, The density of states of 1D random band matrices via a supersymmetric transfer operator, Existence of a phase with finite localization length in the double scaling limit of \(N\)-orbital models, The integral theorem for supersymmetric invariants, Universality of the second mixed moment of the characteristic polynomials of the 1D band matrices: Real symmetric case

Cites Work

• Unnamed Item
• Characteristic vectors of bordered matrices with infinite dimensions
• Remark on the continuity of the density of states of ergodic finite difference operators
• Analyticity properties of the weakly coupled double-well model
• Analyticity of the density of states and replica method for random Schrödinger operators on a lattice
• Localization for off-diagonal disorder and for continuous Schrödinger operators