Quantum anharmonic crystal in functional integral approach
A lattice model of interacting light quantum particles of mass m oscillating in a crystalline field is considered in the framework of an approach based on functional integrals. The main aspects of this approach are described on an introductory level. Then a mechanism of the stabilization of this...
Gespeichert in:
| Datum: | 2003 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2003
|
| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/120759 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Quantum anharmonic crystal in functional integral approach / Yu. Kondratiev , Yu. Kozitsky , T. Pasurek , M.R. Ockner // Condensed Matter Physics. — 2003. — Т. 6, № 4(36). — С. 647-674. — Бібліогр.: 42 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | A lattice model of interacting light quantum particles of mass m oscillating
in a crystalline field is considered in the framework of an approach based
on functional integrals. The main aspects of this approach are described on
an introductory level. Then a mechanism of the stabilization of this model
by quantum effects is suggested. In particular, a stability condition involving
m , the interaction intensity, and the parameters of the crystalline field
is given. It is independent of the temperature and is satisfied if m is small
enough and/or the tunnelling frequency is big enough. It is shown that under
this condition the infinite-volume correlation function decays exponentially;
hence, no phase transitions can arise at all temperatures |
|---|