论文标题
临界自旋1链连接处的手性固定点
Chiral fixed point in a junction of critical spin-1 chains
论文作者
论文摘要
一维系统的交界是具有拓扑阶段的合成材料的发展引起的。我们研究了由$ \ mathrm {su（2）} _ {2} $ Wess-Zumino-Wittten型号描述的三个无间隙自旋-1链的连接，并通过交换和手性的三旋转相互作用结合。我们表明，手性固定点是在过渡线上的特殊点，分隔了开放边界条件所描述的两个机制，这对应于脱钩链和边界旋转单线状态的形成。沿着该过渡线，当旋转电导率随边界边界运算符的耦合常数连续变化时，连接作为可调旋转循环器的行为。由于该连接的光谱包含分数激发，例如Majorana fermions，因此在本文中，我们为非亚洲手性旋转液体的网络构造奠定了基础。
Junctions of one-dimensional systems are of great interest to the development of synthetic materials that harbor topological phases. We study a junction of three gapless spin-1 chains described by the $\mathrm{SU(2)}_{2}$ Wess-Zumino-Wittten model and coupled by exchange and chiral three-spin interactions. We show that a chiral fixed point appears as a special point on the transition line separating two regimes described by open boundary conditions, corresponding to decoupled chains and the formation of a boundary spin singlet state. Along this transition line, the junction behaves as a tunable spin circulator as the spin conductance varies continuously with the coupling constant of a marginal boundary operator. Since the spectrum of the junction contains fractional excitations such as Majorana fermions, in this paper, we set the stage for network constructions of non-Abelian chiral spin liquids.
