Boundary and bulk phase transitions in the two-dimensional Q-state Potts model (Q>4)

F. Iglói, Enrico Carlon

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The surface and bulk properties of the two-dimensional Q>4 state Potts model in the vicinity of the first-order bulk transition point have been studied by exact calculations and by density-matrix renormalization-group techniques. For the surface transition the complete analytical solution of the problem is presented in the Q→∞ limit, including the critical and tricritical exponents, magnetization profiles, and scaling functions. We have shown in an accurate numerical study that the universality class of the surface transition is independent of the value of Q→4. For the bulk transition we have numerically calculated the latent heat and the magnetization discontinuity and we have shown that the correlation lengths in the ordered and disordered phases are identical at the transition point.

Original languageEnglish
Pages (from-to)3783-3792
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume59
Issue number5
Publication statusPublished - 1999

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Potts model
Phase transitions
transition points
Magnetization
magnetization
Latent heat
latent heat
surface properties
discontinuity
exponents
scaling
profiles

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Boundary and bulk phase transitions in the two-dimensional Q-state Potts model (Q>4). / Iglói, F.; Carlon, Enrico.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 59, No. 5, 1999, p. 3783-3792.

Research output: Contribution to journalArticle

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