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Tight binding analogue of cyclotron orbits
Author(s) -
Wal A.
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200674625
Subject(s) - cyclotron , lattice (music) , irreducible representation , translational symmetry , perpendicular , planar , physics , magnetic field , electron , condensed matter physics , group (periodic table) , symmetry (geometry) , mathematics , quantum mechanics , geometry , computer science , computer graphics (images) , acoustics
The magnetic translation group describes the symmetry of the itinerant electron on two‐dimensional lattice with perpendicular magnetic field. For such a finite system, with periodic condition the properties of the irreducible representations of this group are responsible for the tight‐binding analogue of cyclotron orbits of the free electron case. The relation between the size of the planar lattice and the structure of the group and its irreducible representations is pointed out. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)