### Abstract

The (1+1)-dimensional Hamiltonian Potts model is studied for q>or=4 using finite lattice extrapolation techniques. The ground-state energy and its first derivative give information about the free energy and the latent heat of the classical two-dimensional Potts model, while the gap in the excitation energy corresponds to the inverse of the correlation length. It is shown that the finite latent heat for q>4, when the transition is of first order, comes from the crossing of levels; nevertheless there are no excitations for which the gap would vanish in the thermodynamic limit i.e. the correlation length is also finite.

Original language | English |
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Article number | 005 |

Pages (from-to) | 2833-2845 |

Number of pages | 13 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 16 |

Issue number | 15 |

DOIs | |

Publication status | Published - 1983 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

**First-order transition for the (1+1)-dimensional q4 Potts model from finite lattice extrapolation.** / Iglói, F.; Sólyom, J.

Research output: Contribution to journal › Article

*Journal of Physics C: Solid State Physics*, vol. 16, no. 15, 005, pp. 2833-2845. https://doi.org/10.1088/0022-3719/16/15/005

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TY - JOUR

T1 - First-order transition for the (1+1)-dimensional q4 Potts model from finite lattice extrapolation

AU - Iglói, F.

AU - Sólyom, J.

PY - 1983

Y1 - 1983

N2 - The (1+1)-dimensional Hamiltonian Potts model is studied for q>or=4 using finite lattice extrapolation techniques. The ground-state energy and its first derivative give information about the free energy and the latent heat of the classical two-dimensional Potts model, while the gap in the excitation energy corresponds to the inverse of the correlation length. It is shown that the finite latent heat for q>4, when the transition is of first order, comes from the crossing of levels; nevertheless there are no excitations for which the gap would vanish in the thermodynamic limit i.e. the correlation length is also finite.

AB - The (1+1)-dimensional Hamiltonian Potts model is studied for q>or=4 using finite lattice extrapolation techniques. The ground-state energy and its first derivative give information about the free energy and the latent heat of the classical two-dimensional Potts model, while the gap in the excitation energy corresponds to the inverse of the correlation length. It is shown that the finite latent heat for q>4, when the transition is of first order, comes from the crossing of levels; nevertheless there are no excitations for which the gap would vanish in the thermodynamic limit i.e. the correlation length is also finite.

UR - http://www.scopus.com/inward/record.url?scp=11744308464&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11744308464&partnerID=8YFLogxK

U2 - 10.1088/0022-3719/16/15/005

DO - 10.1088/0022-3719/16/15/005

M3 - Article

AN - SCOPUS:11744308464

VL - 16

SP - 2833

EP - 2845

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 15

M1 - 005

ER -