The density of states of 1D random band matrices via a supersymmetric transfer operator
From MaRDI portal
Publication:2043657
DOI10.4171/JST/338zbMath1469.60028arXiv1810.13150OpenAlexW3129814162MaRDI QIDQ2043657
Martin Lohmann, Sasha Sodin, Margherita Disertori
Publication date: 3 August 2021
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.13150
Random matrices (probabilistic aspects) (60B20) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)
Related Items (2)
On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases ⋮ On the correlation functions of the characteristic polynomials of non-Hermitian random matrices with independent entries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Supermathematics and its applications in statistical physics. Grassmann variables and the method of supersymmetry
- Transfer matrix approach to 1D random band matrices: density of states
- Delocalization and diffusion profile for random band matrices
- Characteristic polynomials for 1D random band matrices from the localization side
- Delocalization for a class of random block band matrices
- Quantum diffusion and eigenfunction delocalization in a random band matrix model
- Quantum diffusion and delocalization for band matrices with general distribution
- Eigenvector localization for random band matrices with power law band width
- A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model
- Limiting eigenvalue distribution for band random matrices
- Universality for 1d random band matrices: sigma-model approximation
- A rigorous replica trick approach to Anderson localization in one dimension
- Density of states for random band matrices
- The supersymmetric transfer matrix for linear chains with nondiagonal disorder.
- Analyticity of density of states in a gauge-invariant model for disordered electronic systems.
- Quantum ergodicity and localization in conservative systems: the Wigner band random matrix model.
- Diffusion profile for random band matrices: a short proof
- Random band matrices in the delocalized phase. II: Generalized resolvent estimates
- Density of states for random band matrices in two dimensions
- Superbosonization formula and its application to random matrix theory
- Universality of the local regime for the block band matrices with a finite number of blocks
- On the Partition Function of a One-Dimensional Gas
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Supersymmetry in Disorder and Chaos
- Scaling properties of band random matrices
- Scaling properties of localization in random band matrices: A σ-model approach
- DENSITY OF STATES FOR GUE THROUGH SUPERSYMMETRIC APPROACH
- LOCALIZATION FOR ONE DIMENSIONAL LONG RANGE RANDOM HAMILTONIANS
- RANDOM BAND MATRICES
- On the Wegner Orbital Model
- A Dynamical Approach to Random Matrix Theory
- Universality for random matrices and log-gases
- Semi-classical analysis of non-self-adjoint transfer matrices in statistical mechanics. I
This page was built for publication: The density of states of 1D random band matrices via a supersymmetric transfer operator
