38 citations · 291 across the 19 of their papers we have counts for
7 papers · 1 filter
Interplay between magnetic and spatial order in quasicrystals
E. Y. Vedmedenko, U. Grimm, R. Wiesendanger
The stable magnetisation configurations of antiferromagnets on quasiperiodic tilings are investigated theoretically. The exchange coupling is assumed to decrease exponentially with…
Level-spacing distributions of the Gaussian unitary random matrix ensemble
Uwe Grimm
Level-spacing distributions of the Gaussian Unitary Ensemble (GUE) of random matrix theory are expressed in terms of solutions of coupled differential equations. Series solutions u…
Colourings of planar quasicrystals
Michael Baake, Uwe Grimm, Max Scheffer
The investigation of colour symmetries for periodic and aperiodic systems consists of two steps. The first concerns the computation of the possible numbers of colours and is mainly…
Trace and antitrace maps for aperiodic sequences, their extensions and applications
Xiaoguang Wang, Uwe Grimm, Michael Schreiber
We study aperiodic systems based on substitution rules by means of a transfer-matrix approach. In addition to the well-known trace map, we investigate the so-called `antitrace' map…
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…
Modelling Quasicrystal Growth
Uwe Grimm, Dieter Joseph
Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohi…