2022/04/12 by Qianqian Shi, Yanwei Dai, Shi, Qian-Qian +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum chaos and dynamical systems #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2204.05692
openalex publication_date 2022/04/12 · openalex created_date 2022/04/15 · openalex updated_date 2026/07/28
An extensive investigation, both numerical and analytical, is performed for an anisotropic extension of the ferromagnetic spin-1 biquadratic model. The ground state phase diagram accommodates three symmetry-protected trivial phases, three coexisting fractal phases and six Luttinger liquid phases. A novel universality class arises from an instability of a Luttinger liquid towards an exotic quantum state of matter with infinitely degenerate ground states. The latter in turn is a scale-invariant quantum state of matter, which may be attributed to the coexistence of \rm SU(2) spontaneous symmetry breaking with one type-B Goldstone mode on the characteristic line: Jy=Jz, and \rm U(1) spontaneous symmetry breaking without any gapless Goldstone mode on the characteristic line Jx/Jz=0, together with their cyclic permutations with respect to x, y and z.