Free energy of domain walls and order-disorder transition in a triangular lattice with anisotropic nearest-neighbor interactions.
Phys Rev E
; 102(3-1): 032138, 2020 Sep.
Article
en En
| MEDLINE
| ID: mdl-33076009
We have derived exact expressions for the domain wall free energy along the three high-symmetry directions of a triangular lattice with anisotropic nearest-neighbor interactions. The triangular lattice undergoes an order-disorder phase transition at a temperature T_{c} given by e^{-(ε_{1}+ε_{2})/2kT_{c}}+e^{-(ε_{2}+ε_{3})/2kT_{c}}+e^{-(ε_{3}+ε_{1})/2kT_{c}}=1, where ε_{1}, ε_{2}, ε_{3} are the nearest-neighbor interaction energies, and ε_{1}+ε_{2}>0, ε_{2}+ε_{3}>0, ε_{3}+ε_{1}>0. Finally, we have derived expressions for the thermally induced meandering of the domain walls at temperatures below the phase transition temperature. We show how these expressions can be used to extract the interaction energies of two-dimensional systems with a triangular lattice.
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Phys Rev E
Año:
2020
Tipo del documento:
Article
País de afiliación:
Países Bajos
Pais de publicación:
Estados Unidos