126 citations · 347 across the 15 of their papers we have counts for
7 papers · 1 filter
Energy spectra, wavefunctions and quantum diffusion for quasiperiodic systems
Huiqiu Yuan, Uwe Grimm, Przemyslaw Repetowicz +1
We study energy spectra, eigenstates and quantum diffusion for one- and two-dimensional quasiperiodic tight-binding models. As our one-dimensional model system we choose the silver…
Crossover from interaction induced localization to delocalization in disordered electron systems
Frank Epperlein, Thomas Vojta, Michael Schreiber
We numerically investigate the transport properties of interacting spinless electrons in disordered systems. We use an efficient method which is based on the diagonalization of the…
Phase diagram of the three-dimensional Anderson model of localization with random hopping
P. Cain, R. A. Roemer, M. Schreiber
We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finite-size scaling…
Transport properties near the Anderson transition
C. Villagonzalo, R. A. Roemer, M. Schreiber
The electronic transport properties in the presence of a temperature gradient in disordered systems near the metal-insulator transition [MIT] are considered. The d.c. conductivity…
Planar quasiperiodic Ising models
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We investigate zero-field Ising models on periodic approximants of planar quasiperiodic tilings by means of partition function zeros and high-temperature expansions. These are obta…
Aperiodic Tilings on the Computer
Uwe Grimm, Michael Schreiber
We briefly review the standard methods used to construct quasiperiodic tilings, such as the projection, the inflation, and the grid method. A number of sample Mathematica programs,…