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

Research output: Contribution to journalArticle

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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 languageEnglish
Article number017
Pages (from-to)563-574
Number of pages12
JournalJournal of Physics A: General Physics
Volume19
Issue number4
DOIs
Publication statusPublished - 1986

Fingerprint

Hamiltonians
Phase diagrams
Phase Diagram
phase diagrams
Mean-field Limit
Tricritical Point
Cell Size
One-dimensional System
Coincidence
Quantum Systems
Universality
Fixed point
Model
First-order
Line
cells

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.

In: Journal of Physics A: General Physics, Vol. 19, No. 4, 017, 1986, p. 563-574.

Research output: Contribution to journalArticle

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