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Dupré–Blundell model for the Landau diamagnetism applied to electrons gyrating in a crystalline solid
Author(s) -
Olszewski S.,
Rolińnski T.
Publication year - 2008
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.21899
Subject(s) - diamagnetism , condensed matter physics , electron , physics , gyration , landau quantization , free electron model , magnetic field , lattice (music) , quantum mechanics , mathematics , geometry , acoustics
The model developed by Dupré and Blundell for calculating the Landau diamagnetism of free electrons is adapted to the case when the tightly bound electrons in a crystal lattice are submitted to the action of the magnetic field. In particular, the frequency of the electron gyration and the energy change contributing to the nonoscillating part of the diamagnetism are considered for the simple cubic and the body‐centered cubic lattices. The plots of the energy change done versus the position of the Fermi energy in a crystal exhibit much different behavior than a similar plot obtained in the free‐electron case. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009