176 citations · 1.9k across the 82 of their papers we have counts for
12 papers · 1 filter
Electronic states in topologically disordered systems
Uwe Grimm, Rudolf A. Roemer, Gudrun Schliecker
Networks generated from Voronoi tessellations of space are prototypes for topologically disordered systems. In order to assess the effects of random coordination on the statistical…
Smoothed universal correlations in the two-dimensional Anderson model
Ville Uski, Bernhard Mehlig, Rudolf A. Roemer +1
We report on calculations of smoothed spectral correlations in the two-dimensional Anderson model for weak disorder. As pointed out in (M. Wilkinson, J. Phys. A: Math. Gen. 21, 117…
Energy level statistics at the metal-insulator transition in the Anderson model of localization with anisotropic hopping
Frank Milde, Rudolf A. Römer
Recently, a metal-insulator transition (MIT) was found in the anisotropic Anderson model of localization by transfer-matrix methods (TMM). This MIT has been also investigated by mu…
A numerical study of wave-function and matrix-element statistics in the Anderson model of localization
Ville Uski, Bernhard Mehlig, Rudolf A. Roemer
We have calculated wave functions and matrix elements of the dipole operator in the two- and three-dimensional Anderson model of localization and have studied their statistical pro…
Low Temperature Behavior of the Thermopower in Disordered Systems near the Anderson Transition
C. Villagonzalo, R. A. Roemer
We investigate the behavior of the thermoelectric power [S] in disordered systems close to the Anderson-type metal-insulator transition [MIT] at low temperatures. In the literature…
Lax pair formulation for a small-polaron chain with integrable boundaries
Xi-Wen Guan, Uwe Grimm, Rudolf A. Roemer
Using a fermionic version of the Lax pair formulation, we construct an integrable small-polaron model with general open boundary conditions. The Lax pair and the boundary supermatr…
Application of random matrix theory to quasiperiodic systems
Michael Schreiber, Uwe Grimm, Rudolf A. Roemer +1
We study statistical properties of energy spectra of a tight-binding model on the two-dimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of finite…
Scaling the localisation lengths for two interacting particles in one-dimensional random potentials
Rudolf A. Roemer, Mark Leadbeater, Michael Schreiber
Using a numerical decimation method, we compute the localisation length for two onsite interacting particles (TIP) in a one-dimensional random potential. We show that an in…
Two interacting particles at the metal-insulator transition
Andrzej Eilmes, Uwe Grimm, Rudolf A. Roemer +1
To investigate the influence of electronic interaction on the metal-insulator transition (MIT), we consider the Aubry-André (or Harper) model which describes a quasiperiodic one-di…
Formation of electron-hole pairs in a one-dimensional random environment
Mark Leadbeater, Rudolf A. Romer, Michael Schreiber
We study the formation of electron-hole pairs for disordered systems in the limit of weak electron-hole interactions. We find that both attractive and repulsive interactions lead t…
Interaction-dependent enhancement of the localisation length for two interacting particles in a one-dimensional random potential
Mark Leadbeater, Rudolf A. Roemer, Michael Schreiber
We present calculations of the localisation length, , for two interacting particles (TIP) in a one-dimensional random potential, presenting its dependence on disorder, inter…
The Anderson model of localization: a challenge for modern eigenvalue methods
U. Elsner, V. Mehrmann, F. Milde +2
We present a comparative study of the application of modern eigenvalue algorithms to an eigenvalue problem arising in quantum physics, namely, the computation of a few interior eig…