论文标题
域壁的自由能和三角形晶格中的订单级过渡，以及各向异性最近的邻次相互作用
Free energy of domain walls and order-disorder transition in a triangular lattice with anisotropic nearest-neighbor interactions
论文作者
论文摘要
我们沿着三角形晶格的三个高对称方向衍生出了域壁自由能的精确表达式，并具有各向异性近端相互作用。 The triangular lattice undergoes an orderdisorder phase transition at a temperature Tc given by exp(-(e1+e2)/2kTc)+ exp(-(e2+e3)/2kTc)+ exp(-(e3+e1)/2kTc)= 1, where e1, e2, e3 are the nearest-neighbor interaction energies, and e1+ e2> 0, e2+ e3> 0, E3+ E1> 0。最后，我们在低于相变温度的温度下衍生了域壁的热诱导弯曲的表达式。我们展示了如何使用这些表达式来提取与三角晶格的二维系统的相互作用能。
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 orderdisorder phase transition at a temperature Tc given by exp(-(e1+e2)/2kTc)+ exp(-(e2+e3)/2kTc)+ exp(-(e3+e1)/2kTc)= 1, where e1, e2, e3 are the nearest-neighbor interaction energies, and e1+ e2> 0, e2+ e3> 0, e3+ e1> 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.
