Gaussian ensembles#
Bulk spectra of Hermitian random matrices: Wigner’s semicircle law, the Two-Body Random Ensemble’s Gaussian (not semicircular) many-body density of states, Anderson localization in power-law banded matrices, the Altland-Zirnbauer Bogoliubov-de Gennes classes’ \(\pm E\) eigenvalue symmetry, and the Dumitriu-Edelman tridiagonal model for continuum \(\beta\).
The Altland-Zirnbauer Tenfold Way: BdG Eigenvalue Symmetry
The Altland-Zirnbauer Tenfold Way: BdG Eigenvalue Symmetry
Anderson Localization in Power-Law Banded Matrices
Anderson Localization in Power-Law Banded Matrices
Embedded Ensembles: the Two-Body Random Ensemble Is Gaussian, not Semicircle
Embedded Ensembles: the Two-Body Random Ensemble Is Gaussian, not Semicircle
