### 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 language | English |
---|---|

Pages (from-to) | 3783-3792 |

Number of pages | 10 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 59 |

Issue number | 5 |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*59*(5), 3783-3792.

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

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 59, no. 5, pp. 3783-3792.

}

TY - JOUR

T1 - Boundary and bulk phase transitions in the two-dimensional Q-state Potts model (Q>4)

AU - Iglói, F.

AU - Carlon, Enrico

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001453228&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001453228&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001453228

VL - 59

SP - 3783

EP - 3792

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 5

ER -