Energy correlations for a random matrix model of disordered bosons

DOI10.1063/1.2356798zbMath1112.82024arXivcond-mat/0607243OpenAlexW2072945666MaRDI QIDQ3442066

T. Lueck, Hans-Jürgen Sommers, Martin R. Zirnbauer

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0607243

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (16)

Random-matrix approach to RPA equations. I. ⋮ Schwinger–Dyson and loop equations for a product of square Ginibre random matrices ⋮ Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble ⋮ On Wright's generalized Bessel kernel ⋮ Local universality in biorthogonal Laguerre ensembles ⋮ Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles ⋮ Selberg integral theory and Muttalib-Borodin ensembles ⋮ Hard edge limit of the product of two strongly coupled random matrices ⋮ A note on the limiting mean distribution of singular values for products of two Wishart random matrices ⋮ Multiplicative convolution of real asymmetric and real anti-symmetric matrices ⋮ The local universality of Muttalib–Borodin biorthogonal ensembles with parameter $\theta = \frac{1}{2}$ ⋮ The local universality of Muttalib–Borodin ensembles when the parameter θ is the reciprocal of an integer ⋮ A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles ⋮ Large deviations for disordered bosons and multiple orthogonal polynomial ensembles ⋮ Generalized random matrix model with additional interactions ⋮ Raney distributions and random matrix theory

Cites Work

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• Biorthogonal ensembles
• Biorthogonal polynomials suggested by the Laguerre polynomials
• Symmetry classes of disordered fermions
• Statistical properties of random density matrices
• Riemannian symmetric superspaces and their origin in random-matrix theory
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• Theories of low-energy quasi-particle states in disordered \(d\)-wave superconductors

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