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

Hassan Chamati

Physica A: Statistical Mechanics and its Applications, 1994, vol. 212, issue 3, 357-368

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:212:y:1994:i:3:p:357-368

DOI: 10.1016/0378-4371(94)90338-7

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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