论文标题
$ j_1-j_2-j_3 $ ising antantiferomagnet在kagome lattice上的部分撤离
Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
论文作者
论文摘要
由偶性耦合的人工旋转系统激励，我们提供了一项经典$ J_1-J_2-J_3 $ ISING ANTANTANTIFERROMAGNET的理论研究。我们基于基于基态能量的确切结果，为$ j_1> | j_2 |，| j_2 | $建立了此模型的地面相图。当所有耦合都是抗磁磁性的时，该模型具有三个宏观的退化地面阶段，并使用张量网络，我们可以非常准确地计算这些相及其边界的熵。在两种情况下，熵似乎是三角形晶格的一小部分，我们提供了分析论证来支持这一观察结果。我们还注意到，令人惊讶的是，偶极基态不是截短模型的基础状态，而是具有较小$ J_3 $交互的模型的基础状态，这表明该模型中低能状态之间的竞争非常强烈。
Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the classical $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice. We establish the ground-state phase diagram of this model for $J_1 > |J_2|, |J_3|$ based on exact results for the ground-state energies. When all the couplings are antiferromagnetic, the model has three macroscopically degenerate ground-state phases, and using tensor networks, we can calculate the entropies of these phases and of their boundaries very accurately. In two cases, the entropy appears to be a fraction of that of the triangular lattice Ising antiferromagnet, and we provide analytical arguments to support this observation. We also notice that, surprisingly enough, the dipolar ground state is not a ground state of the truncated model, but of the model with smaller $J_3$ interactions, an indication of a very strong competition between low-energy states in this model.
