Lattice Supersymmetry and Order-Disorder Coexistence in the Tricritical Ising Model.
Lattice Supersymmetry and Order-Disorder Coexistence in the Tricritical Ising Model.
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DOI：
10.1103/physrevlett.120.206403
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发表时间：
2017-12
影响因子：
8.6
通讯作者：
E. O'brien;P. Fendley
中科院分区：
文献类型：
--
作者：
E. O'brien;P. Fendley
我们介绍和分析了量子自旋或马约拉纳链与三临界伊辛点分离的临界相与有序-无序共存的带隙相。我们发现超对称性不仅是标度极限的一种突现性质，而且在晶格上也有体现。也就是说，我们找到明确的晶格表达式的超对称发电机和电流。用这些生成元来写哈密顿量，可以让我们在无阻挫耦合下精确地找到基态。这些证实了两个（拓扑）有序的基态和一个无序的带隙相之间的共存。变形的模型，包括明确的手征对称性破缺，我们发现的阶段持续到一个不寻常的手征相变的超对称性变得准确，甚至在晶格上。
We introduce and analyze a quantum spin or Majorana chain with a tricritical Ising point separating a critical phase from a gapped phase with order-disorder coexistence. We show that supersymmetry is not only an emergent property of the scaling limit but also manifests itself on the lattice. Namely, we find explicit lattice expressions for the supersymmetry generators and currents. Writing the Hamiltonian in terms of these generators allows us to find the ground states exactly at a frustration-free coupling. These confirm the coexistence between two (topologically) ordered ground states and a disordered one in the gapped phase. Deforming the model by including explicit chiral symmetry breaking, we find the phases persist up to an unusual chiral phase transition where the supersymmetry becomes exact even on the lattice.