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T = 0 finite-size scaling for a quantum system with long-range interaction

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  • Chamati, Hassan

Abstract

The general idea of finite size scaling are tested by the example of the pure quantum version of an exactly solvable model of structural phase transition with long-range interaction decaying at large distances r as r-d-σ, where d is the space dimensionality and σ > 0. The finite size shift of the quantum parameter (playing the same role as that of the temperature for classical systems) is calculated for the general geometry Ld−d′ × ∞d′, with 0 < d′ < d. The root mean square order parameter is evaluated for 0 < d′ < σ2.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:212:y:1994:i:3:p:357-368
    DOI: 10.1016/0378-4371(94)90338-7
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. 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.
    5. 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.
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