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}
}