EXTREMA OF FUNCTIONS ON THE BRILLOUIN-ZONE, INVARIANT BY THE CRYSTAL SYMMETRY GROUP AND TIME-REVERSAL

Authors
MICHEL L
Citation
L. Michel, EXTREMA OF FUNCTIONS ON THE BRILLOUIN-ZONE, INVARIANT BY THE CRYSTAL SYMMETRY GROUP AND TIME-REVERSAL, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 322(3), 1996, pp. 223-230
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie → ACNP
ISSN journal
12518069
Volume
322
Issue
3
Year of publication
1996
Pages
223 - 230
Database
ISI
SICI code
1251-8069(1996)322:3<223:EOFOTB>2.0.ZU;2-X
Abstract
Most physical properties of crystals are described by functions on the Brillouin zone, invariant by the crystal symmetry group and by time r eversal. If we assume that these functions are continuous have non deg enerate extrema and neglecting, if necessary, spin effects, we determi ne the minimum number of extrema of these functions, these functions, we precise their nature (maxima, minima, saddle points) and as far as possible, their positions. This study for the 17 (respectively 230) cr ystal symmetry groups in dimension 2 (resp. 3) can be reduced to the s tudy of 4 (resp. 16) cases. So the full results can be given in one (r esp. two) tables.