Quantum stabilization in anharmonic crystals

Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2003)
PHYSICAL REVIEW LETTERS 90(17): 170603.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Albeverio, Sergio; Kondratiev, YuriUniBi; Kozitsky, Yuri; Röckner, MichaelUniBi
Abstract / Bemerkung
For a model of interacting quantum particles of mass m oscillating in a double-well crystalline field, a mechanism of its stabilization by quantum effects is described. 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 tunneling frequency is big enough. It is shown that under this condition the infinite-volume free energy density is an analytic function of the external field and the displacement-displacement correlation function decays exponentially; hence, no phase transitions can arise at all temperatures. This gives a complete and rigorous answer to the question about the influence of quantum effects on structural phase transitions, the discussion of which was initiated in [T. Schneider, H. Beck, and E. Stoll, Phys. Rev. B 13, 1123 (1976)].
Erscheinungsjahr
2003
Zeitschriftentitel
PHYSICAL REVIEW LETTERS
Band
90
Ausgabe
17
Art.-Nr.
170603
ISSN
0031-9007
Page URI
https://pub.uni-bielefeld.de/record/1611843

Zitieren

Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M. Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS. 2003;90(17): 170603.
Albeverio, S., Kondratiev, Y., Kozitsky, Y., & Röckner, M. (2003). Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS, 90(17), 170603. doi:10.1103/PhysRevLett.90.170603
Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2003). Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS 90:170603.
Albeverio, S., et al., 2003. Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS, 90(17): 170603.
S. Albeverio, et al., “Quantum stabilization in anharmonic crystals”, PHYSICAL REVIEW LETTERS, vol. 90, 2003, : 170603.
Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS. 90, : 170603 (2003).
Albeverio, Sergio, Kondratiev, Yuri, Kozitsky, Yuri, and Röckner, Michael. “Quantum stabilization in anharmonic crystals”. PHYSICAL REVIEW LETTERS 90.17 (2003): 170603.

11 References

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AUTHOR UNKNOWN, 1969

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AUTHOR UNKNOWN, 1970

AUTHOR UNKNOWN, 1974

AUTHOR UNKNOWN, condens matter phys 1(), 1998

AUTHOR UNKNOWN, 1973
Suppression of Critical Fluctuations by Strong Quantum Effects in Quantum Lattice System
Albeverio, Communications in Mathematical Physics 194(3), 1998

Verbeure, Journal of Physics A Mathematical and General 28(18), 1995
Quantum effects in an n-component vector model for structural phase transitions
Schneider, Physical Review B 13(3), 1976

ALBEVERIO, Reviews in Mathematical Physics 14(12), 2002
Statistical mechanics of systems of unbounded spins
Lebowitz, Communications in Mathematical Physics 50(3), 1976

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