Virial equations for extended electron systems in a homogeneous magnetic field: a jellium model and a periodic solidVirial equations for extended electron systems in a homogeneous magnetic field: a jellium model and a periodic solid
article

2000London, 2000

Physics

Journal of physics : condensed matter. - London

12(2000):28, p. 6191-6197

0953-8984

000088582300020

E

English (eng)

A model N-electron system-a finite jellium-is considered first. The virial equation (VE) for it is obtained by adapting the result of Holas and March (Holas A and March N H 1999 Phys. Rev. A 60 2853) concerning a molecule in a homogeneous magnetic field B. Next, by applying a limiting procedure with N tending to infinity, the VE for an infinite-jellium system is established. This result extends the well-known zero-field VE by adding a term involving a derivative over B. Similarly the VE for a periodic solid is obtained by applying a limiting procedure to the VE for a cluster ('finite crystal'). All VEs are valid for the systems in arbitrary (ground or excited) eigenstates.

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