Critical intermediate phase and phase transitions in a triangular-lattice three-spin interaction model: Level-spectroscopy approach

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dc.creatorOtsuka, Hiromi
dc.creatorNomura, Kiyohide
dc.date2008-03-21
dc.date2008-08-08
dc.date.accessioned2026-07-07T09:55:17Z
dc.date.available2026-07-07T09:55:17Z
dc.descriptionWe investigate infinite-order phase transitions like the Berezinskii-Kosterlitz-Thouless transition observed in a triangular-lattice three-spin interaction model. Based on a field theoretical description and the operator-production-expansion technique, we perform the renormalization-group analysis, and then clarify properties of marginal operators near the phase transition points. The results are utilized to establish criteria to determine the transition points and some universal relations among excitation levels to characterize the transitions. We verify these predictions via the numerical analysis on eigenvalue structures of the transfer matrix. Also, we discuss an enhancement of symmetry at the end points of a critical intermediate phase in connection with a transition observed in the ground state of the bilinear-biquadratic spin-1 chain.
dc.description23 pages, 5 figures; corrected typos
dc.identifierhttps://arxiv.org/abs/0803.3114
dc.identifierhttp://arxiv.org/abs/0803.3114
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 375001
dc.identifierdoi:10.1088/1751-8113/41/37/375001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166573
dc.subjectStatistical Mechanics
dc.titleCritical intermediate phase and phase transitions in a triangular-lattice three-spin interaction model: Level-spectroscopy approach
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