### Abstract

The phase diagram and the critical properties of the Hamiltonian version of the two-dimensional n-component cubic model are investigated. Judging from the results of simple limits, mean-field calculation and RG transformations, the phase diagram of the one-dimensional quantum system is similar to that of the two-dimensional classical model. Several RG transformations were used to investigate the critical properties using different cell sizes in the transformation. The coincidence of critical and tricritical fixed points and the presence of a marginal operation showed the formation of the Ashkin-Teller fixed line and the breaking of the universality. The cubic transition is found to be first order for n>2.

Original language | English |
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Article number | 017 |

Pages (from-to) | 563-574 |

Number of pages | 12 |

Journal | Journal of Physics A: General Physics |

Volume | 19 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1986 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**Hamiltonian studies of the two-dimensional n-component cubic model. I.** / Iglói, F.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 19, no. 4, 017, pp. 563-574. https://doi.org/10.1088/0305-4470/19/4/017

}

TY - JOUR

T1 - Hamiltonian studies of the two-dimensional n-component cubic model. I

AU - Iglói, F.

PY - 1986

Y1 - 1986

N2 - The phase diagram and the critical properties of the Hamiltonian version of the two-dimensional n-component cubic model are investigated. Judging from the results of simple limits, mean-field calculation and RG transformations, the phase diagram of the one-dimensional quantum system is similar to that of the two-dimensional classical model. Several RG transformations were used to investigate the critical properties using different cell sizes in the transformation. The coincidence of critical and tricritical fixed points and the presence of a marginal operation showed the formation of the Ashkin-Teller fixed line and the breaking of the universality. The cubic transition is found to be first order for n>2.

AB - The phase diagram and the critical properties of the Hamiltonian version of the two-dimensional n-component cubic model are investigated. Judging from the results of simple limits, mean-field calculation and RG transformations, the phase diagram of the one-dimensional quantum system is similar to that of the two-dimensional classical model. Several RG transformations were used to investigate the critical properties using different cell sizes in the transformation. The coincidence of critical and tricritical fixed points and the presence of a marginal operation showed the formation of the Ashkin-Teller fixed line and the breaking of the universality. The cubic transition is found to be first order for n>2.

UR - http://www.scopus.com/inward/record.url?scp=36149033960&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149033960&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/19/4/017

DO - 10.1088/0305-4470/19/4/017

M3 - Article

AN - SCOPUS:36149033960

VL - 19

SP - 563

EP - 574

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 4

M1 - 017

ER -