论文标题
具有短距离和远距离相互作用的自旋链的确切平均场解
Exact mean-field solution of a spin chain with short-range and long-range interactions
论文作者
论文摘要
我们考虑横向场模型，并在旋转之间具有其他全面相互作用。我们表明，尽管存在1D短距离相互作用，但该模型的平均场地处理在热力学极限中变得精确。这是通过寻找特征态作为连贯状态的振幅而变化而变化的。然后，我们研究模型的热力学，并确定不同的阶段。在其特殊的特征中，该1D模型在有限温度下具有二阶相变，并表现出反熔化。
We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range interactions. This is established by looking for eigenstates as coherent states with an amplitude that varies through the Hilbert space. We study then the thermodynamics of the model and identify the different phases. Among its peculiar features, this 1D model possesses a second-order phase transition at finite temperature and exhibits inverse melting.
