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Electrons in Quasicrystals
Author(s) -
Grimm Uwe
Publication year - 2011
Publication title -
israel journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.908
H-Index - 54
eISSN - 1869-5868
pISSN - 0021-2148
DOI - 10.1002/ijch.201100143
Subject(s) - quasicrystal , aperiodic graph , chemistry , electron , perspective (graphical) , focus (optics) , order (exchange) , condensed matter physics , chemical physics , theoretical physics , statistical physics , engineering physics , crystallography , physics , quantum mechanics , optics , geometry , mathematics , finance , combinatorics , economics
Quasicrystals, discovered by Dan Shechtman in 1982, provide unique materials with long‐range aperiodic order. Their electronic structure and the electronic transport in quasicrystalline alloys has been a focus of research, motivated by trying to understand the formation and stability of quasicrystals, and their pronounced transport anomalies. This brief review on the motion of electrons concentrates on one perspective of this problem. It focuses on results obtained for simple models which capture the essence of the aperiodic order, rather than on results which attempt a realistic description of quasicrystalline alloys by employing empirical interaction potentials.