## 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.

Bassir, A;

^{[1] }Benyoussef, A^{[2] }- International Centre for Theoretical Physics, Trieste (Italy)
- Laboratoire de Magnetisme et Physique des Hautes Energies, Rabat (Morocco). Dept. de Physique

## 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}

}

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}

}