IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v136y1986i1p176-188.html
   My bibliography  Save this article

Quantum effects in a d-dimensional exactly solvable model for a structural phase transition

Author

Listed:
  • Plakida, N.M.
  • Tonchev, N.S.

Abstract

An exactly solvable d-dimensional model of a structural phase transition with a long-range anharmonic interaction is considered in the low temperature region Tc→0 when the quantum effects are essential. It is shown that the quantum fluctuations lead to a suppression of the phase transition. However, at Tc > 0 they do not change the critical behaviour. The latter becomes pure quantum mechanical at Tc=0 when the dimensional crossover is fulfilled, according to which the critical behaviour of a d-dimensional quantum system (Tc=0) and of a (d+1)-dimensional classical system (Tc<) becomes equivalent.

Suggested Citation

  • Plakida, N.M. & Tonchev, N.S., 1986. "Quantum effects in a d-dimensional exactly solvable model for a structural phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 176-188.
    • Handle: RePEc:eee:phsmap:v:136:y:1986:i:1:p:176-188
    DOI: 10.1016/0378-4371(86)90049-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843718690049X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(86)90049-X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tonchev, N.S. & Uzunov, D.I., 1985. "On the tricritical Lifshitz behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 265-273.
    2. Busiello, G. & De Cesare, L. & Rabuffo, I., 1983. "Renormalization group and quantum critical phenomena in the large-n limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 445-481.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Radosz, Andrzej, 1990. "Soft mode in the class of exactly soluble models of phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 853-866.
    2. Brankov, J.G., 1990. "Finite-size effects in the approximating Hamiltonian method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 1035-1054.
    3. Tonchev, N.S., 1988. "Finite-size effects in a quantum exactly soluble model for structural phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 356-360.
    4. Chamati, Hassan, 1994. "T = 0 finite-size scaling for a quantum system with long-range interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(3), pages 357-368.
    5. Pisanova, E.S. & Tonchev, N.S., 1995. "Universal amplitudes in finite-size scaling for an anharmonic crystal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 419-428.
    6. Tonchev, N.S., 1991. "On the finite-size scaling in quantum critical phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(2), pages 374-383.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tonchev, N.S., 1988. "Finite-size effects in a quantum exactly soluble model for structural phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 356-360.
    2. Korutcheva, E.R. & Tonchev, N.S., 1993. "On the quantum finite-size sealing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 215-222.
    3. Verbeure, A & Zagrebnov, V.A, 1995. "Collective excitations in the anharmonic crystal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(3), pages 394-404.
    4. Lukierska-Walasek, K., 1984. "Quantum crossover behaviour of the X−Y model in a transverse magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 613-626.
    5. Uzunov, D.I. & Korutcheva, E.R. & Millev, Y.T., 1985. "Random field effects in classical and quantum critical phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 535-549.
    6. Tonchev, N.S., 1991. "On the finite-size scaling in quantum critical phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(2), pages 374-383.
    7. Radosz, Andrzej, 1990. "Soft mode in the class of exactly soluble models of phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 853-866.
    8. Busiello, G. & De Cesare, L. & Rabuffo, I., 1987. "Destruction of long-range order in quantum ferroelectrics via random field fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 192-200.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:136:y:1986:i:1:p:176-188. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.