Tsvetanova Martina, Sotthewes Kai, Zandvliet Harold J W
Physics of Interfaces and Nanomaterials, MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500AE Enschede, The Netherlands.
Phys Rev E. 2020 Sep;102(3-1):032138. doi: 10.1103/PhysRevE.102.032138.
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.
我们已经推导出了沿具有各向异性最近邻相互作用的三角晶格的三个高对称方向的畴壁自由能的精确表达式。三角晶格在由(e^{-(ε_{1}+ε_{2})/2kT_{c}}+e^{-(ε_{2}+ε_{3})/2kT_{c}}+e^{-(ε_{3}+ε_{1})/2kT_{c}}=1)给出的温度(T_{c})处经历有序-无序相变，其中(ε_{1})、(ε_{2})、(ε_{3})是最近邻相互作用能，且(ε_{1}+ε_{2}>0)，(ε_{2}+ε_{3}>0)，(ε_{3}+ε_{1}>0)。最后，我们推导出了在低于相变温度的温度下热诱导畴壁蜿蜒的表达式。我们展示了如何使用这些表达式来提取具有三角晶格的二维系统的相互作用能。
