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Ferromagnetic Potts model in a magnetic field: Finite lattice extrapolation of the (1+1)-dimensional Hamiltonian

Technical Report:

Abstract

The (1+1)-dimensional Hamiltonian q-state ferromagnetic Potts model in an external magnetic field H is studied using finite lattice extrapolation techniques. The possible phases and their boundaries are determined from the ground state energy and the gap in the excitation energy, for arbitrary values of q and both for positive and negative field. We found that, for H positive, there is a critical value q{sub c}, where a first order transition line appears for q>q{sub c}, starting at the zero field transition point and terminating at a critical point in (h/{lambda}, H/{lambda}) plane, which separates the disordered phase and the ordered phase in the direction of H. For h negative a critical transition line separating the disordered phase and the others (q-1) ordered phases becomes first order for q>q{sub c}. (author). 12 refs, 2 figs.
Authors:
Bassir, A; [1]  Benyoussef, A [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Laboratoire de Magnetisme et Physique des Hautes Energies, Rabat (Morocco). Dept. de Physique
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/294
Reference Number:
SCA: 665400; PA: AIX-26:014022; EDB-95:033004; SN: 95001325771
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FERROMAGNETISM; HAMILTONIANS; CRYSTAL LATTICES; EXCITED STATES; GROUND STATES; MAGNETIC FIELDS; PHASE DIAGRAMS; TWO-DIMENSIONAL CALCULATIONS; 665400; QUANTUM PHYSICS ASPECTS OF CONDENSED MATTER
OSTI ID:
10112988
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95614447; TRN: XA9438444014022
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
6 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Bassir, A, and Benyoussef, A. Ferromagnetic Potts model in a magnetic field: Finite lattice extrapolation of the (1+1)-dimensional Hamiltonian. IAEA: N. p., 1994. Web.
Bassir, A, & Benyoussef, A. Ferromagnetic Potts model in a magnetic field: Finite lattice extrapolation of the (1+1)-dimensional Hamiltonian. IAEA.
Bassir, A, and Benyoussef, A. 1994. "Ferromagnetic Potts model in a magnetic field: Finite lattice extrapolation of the (1+1)-dimensional Hamiltonian." IAEA.
@misc{etde_10112988,
title = {Ferromagnetic Potts model in a magnetic field: Finite lattice extrapolation of the (1+1)-dimensional Hamiltonian}
author = {Bassir, A, and Benyoussef, A}
abstractNote = {The (1+1)-dimensional Hamiltonian q-state ferromagnetic Potts model in an external magnetic field H is studied using finite lattice extrapolation techniques. The possible phases and their boundaries are determined from the ground state energy and the gap in the excitation energy, for arbitrary values of q and both for positive and negative field. We found that, for H positive, there is a critical value q{sub c}, where a first order transition line appears for q>q{sub c}, starting at the zero field transition point and terminating at a critical point in (h/{lambda}, H/{lambda}) plane, which separates the disordered phase and the ordered phase in the direction of H. For h negative a critical transition line separating the disordered phase and the others (q-1) ordered phases becomes first order for q>q{sub c}. (author). 12 refs, 2 figs.}
place = {IAEA}
year = {1994}
month = {Sep}
}