TY - JOUR

T1 - Free energy of domain walls and order-disorder transition in a triangular lattice with anisotropic nearest-neighbor interactions

AU - Tsvetanova, Martina

AU - Sotthewes, Kai

AU - Zandvliet, Harold J.W.

PY - 2020/9/23

Y1 - 2020/9/23

N2 - 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 Tc given by e-(ϵ1+ϵ2)/2kTc+e-(ϵ2+ϵ3)/2kTc+e-(ϵ3+ϵ1)/2kTc=1, where ϵ1, ϵ2, ϵ3 are the nearest-neighbor interaction energies, and ϵ1+ϵ2>0, ϵ2+ϵ3>0, ϵ3+ϵ1>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.

AB - 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 Tc given by e-(ϵ1+ϵ2)/2kTc+e-(ϵ2+ϵ3)/2kTc+e-(ϵ3+ϵ1)/2kTc=1, where ϵ1, ϵ2, ϵ3 are the nearest-neighbor interaction energies, and ϵ1+ϵ2>0, ϵ2+ϵ3>0, ϵ3+ϵ1>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.

UR - http://www.scopus.com/inward/record.url?scp=85092433733&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.102.032138

DO - 10.1103/PhysRevE.102.032138

M3 - Article

C2 - 33076009

AN - SCOPUS:85092433733

VL - 102

JO - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

JF - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

SN - 2470-0045

IS - 3

M1 - 032138

ER -