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Modified finite-size scaling for anharmonic crystals with quantum fluctuations

Author

Listed:
  • Pisanova, E.S.
  • Tonchev, N.S.

Abstract

The modified finite-size scaling (for dimensions d ⩾ d>, where d> is the upper critical dimensionality) is verified in the closed vicinity of both the classical and the quantum multicritical points by the example of a quantum model for an anharmonic cyrstal, confined to a fully finite (block) geometry under periodic boundary conditions. Unified scaling equations corresponding to the two kinds of correlation lengths related with the fixed dimensionless temperature t when the quantum parameter λ is varied, and with fixed λ when t is varied, are obtained.

Suggested Citation

  • Pisanova, E.S. & Tonchev, N.S., 1996. "Modified finite-size scaling for anharmonic crystals with quantum fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 325-333.
    • Handle: RePEc:eee:phsmap:v:227:y:1996:i:3:p:325-333
    DOI: 10.1016/0378-4371(95)00388-6
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    References listed on IDEAS

    as
    1. 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.
    2. Haemers, W.H. & Parker, C. & Pless, V. & Tonchev, V.D., 1990. "A design and a code invariant under the simple group Co3," Research Memorandum FEW 458, Tilburg University, School of Economics and Management.
    3. 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.
    Full references (including those not matched with items on IDEAS)

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