Self-dual $S_3$-invariant quantum chains
Self-dual $S_3$-invariant quantum chains
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DOI：
10.21468/scipostphys.9.6.088
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发表时间：
2019-12
期刊：
影响因子：
5.5
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
研究了具有最近邻相互作用和S_3S3、时间反演和宇称对称性的自对偶三态量子链。我们发现了一个丰富的相图，其中包括有序-无序共存的带隙相，U（1）U（1）对称的可积临界点，以及分别由三态Potts和自由玻色子共形场论描述的铁磁和反铁磁临界区。我们还发现了一个不寻常的临界相，这似乎是由两个不同的“费米速度”的共形场理论相结合。有序-无序共存相有一个新兴的分数超对称性，我们发现它的发电机晶格类似物。
We investigate the self-dual three-state quantum chain with nearest-neighbor interactions and S_3S3, time-reversal, and parity symmetries. We find a rich phase diagram including gapped phases with order-disorder coexistence, integrable critical points with U(1)U(1) symmetry, and ferromagnetic and antiferromagnetic critical regions described by three-state Potts and free-boson conformal field theories respectively. We also find an unusual critical phase which appears to be described by combining two conformal field theories with distinct “Fermi velocities”. The order-disorder coexistence phase has an emergent fractional supersymmetry, and we find lattice analogs of its generators.