论文标题
Luttinger液体朝着具有高度退化基态的异国情调物质状态的不稳定性：铁磁自旋-1生物段模型的各向异性延伸
Instability of the Luttinger liquids towards an exotic quantum state of matter with highly degenerate ground states: an anisotropic extension of the ferromagnetic spin-1 biquadratic model
论文作者
论文摘要
对于铁磁自旋1生物段模型的各向异性扩展，进行了数值和分析的广泛研究。基态相图可容纳三个对称性保护的琐碎相，三个共存的分形相和六个Luttinger液相。新颖的普遍性类别源于Luttinger液体的不稳定性，朝着无限退化基态的异国量子状态。反过来，后者是一种量表的物质量子状态，这可能归因于$ {\ rm su}（2）$自发对称性与特征线上的一个类型B金色模式：$ j_y = j_z $和$ {\ rm um umm u}（\ rm um umments of prognsondonsksondonskongone thements of thements of thements insongondongondone） $ j_x/j_z = 0 $，以及$ x $，$ y $和$ z $的循环排列。
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: $J_y=J_z$, and ${\rm U}(1)$ spontaneous symmetry breaking without any gapless Goldstone mode on the characteristic line $J_x/J_z=0$, together with their cyclic permutations with respect to $x$, $y$ and $z$.
