A Single Slice 2d Anderson Model at Weak Disorder
Gilles Poirot
Abstract
We introduce a matrix-operator formulation of the Anderson model in d=2. In a single slice, we can then derive an analogy between our model and a standard random matrices problem. This enables us to construct and control the Green function in one slice, which is an important prerequisite to a full multi-scale study of the problem using the Renormalisation Group approach.
Create a lesson
Related papers
Low-temperature magnetism and spin dynamics in the disordered triangular-lattice Yb3+ compound LiCaYb5(BO3)6
Monika Jawale, Saikat Nandi, Prashanta K. Mukharjee et al.
Neural Renormalization Group Flow for Percolation
Anaclara Alvez, Luca Camagna, Sergio Chibbaro et al.
Dynamical phase selection controls compute scaling in looped transformers
Gunn Kim
Semi-localized ground state in a 1D system with long-range hopping
Murod S. Bahovadinov, Faridun N. Jalolov, Vladimir E. Kravtsov et al.
Defect states in three-dimensional diamond photonic band gap crystals
Julia Rocha, Bart A. van Tiggelen, Ad Lagendijk et al.
Disorder-induced conducting edges on Kagomé lattice
A. Chmeruk, D. Jones, L. Chioncel