19 citations · 25 across the 8 of their papers we have counts for
9 papers
Poisson eigenvalue statistics and dynamical delocalization for fractional and long-range Anderson models
Peter D. Hislop, Rodrigo Matos, Constanza Rojas-Molina
We study local eigenvalue statistics and dynamical (de)-localization properties for long-range Anderson models, including the fractional Anderson model. These systems are random An…
Sharp decay rate for eigenfunctions of perturbed periodic Schrödinger operators
Wencai Liu, Rodrigo Matos, John N. Treuer
This paper investigates uniqueness results for perturbed periodic Schrödinger operators on . Specifically, we consider operators of the form , where $Δ…
Floquet Isospectrality of the Zero Potential for Discrete Periodic Schrödinger Operators
Matthew Faust, Wencai Liu, Rodrigo Matos +5
Let , with for each , and denote by the discrete Laplacian…
Algebraic Properties of the Fermi Variety for Periodic Graph Operators
Jake Fillman, Wencai Liu, Rodrigo Matos
We present a method to estimate the number of irreducible components of the Fermi varieties of periodic Schrödinger operators on graphs in terms of suitable asymptotics. Our main t…
On the localization regime of certain random operators within Hartree-Fock theory
Rodrigo Matos
Localization results for a class of random Schrödinger operators within the Hartree-Fock approximation are proved in two regimes: large disorder and weak disorder/extreme energies.…
Irreducibility of the Bloch Variety for Finite-Range Schrödinger Operators
Jake Fillman, Wencai Liu, Rodrigo Matos
We study the Bloch variety of discrete Schrödinger operators associated with a complex periodic potential and a general finite-range interaction, showing that the Bloch variety is…
Spectral and Dynamical contrast on highly correlated Anderson-type models
Rodrigo Matos, Rajinder Mavi, Jeffrey Schenker
We study spectral and dynamical properties of random Schrödinger operators and $H_{\mathrm{Diag}}=-A_{\mathbb{G}_{\mathrm{Di…
Localization and IDS Regularity in the Disordered Hubbard Model within Hartree-Fock Theory
Rodrigo Matos, Jeffrey Schenker
Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperatu…
Spectrum of the Laplacian on radial graphs
Rodrigo Bezerra de Matos, Jose Fabio B. Montenegro
We prove that if is a complete hypersurface in which is graph of a real radial function, then the spectrum of the Laplace operator on M is the interval $[0,\…