Ferromagnetic Potts model in a magnetic field: Finite lattice extrapolation of the (1+1)-dimensional Hamiltonian
Bassir, A [International Centre for Theoretical Physics, Trieste (Italy)]; Benyoussef, A [Laboratoire de Magnetisme et Physique des Hautes Energies, Rabat (Morocco). Dept. de Physique]
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
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.
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
OSTI; NTIS (US Sales Only); INIS
IAEA
1994-09-01
English
Technical Report
Other Information: PBD: Sep 1994
Medium: X; Size: 6 p.
ON: DE95614447
IC-94/294
Other: ON: DE95614447; TRN: XA9438444014022
INIS; SCA: 665400; PA: AIX-26:014022; EDB-95:033004; SN: 95001325771
2008-02-12
10112988