论文标题
拓扑相过渡到Abelian Anyon阶段,由于基塔耶旋转液态的非对角线交换相互作用
Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
论文作者
论文摘要
我们研究了Majorana Fermions描述的Kitaev自旋液态以及$ z_2 $ gauge场的如何受到基塔耶磁铁真实候选材料中存在的非基塔伊夫相互作用的影响。已经发现,在反铁磁性吉塔夫相互作用的情况下,$γ'$术语的偏外交换互动极大地改变了马拉纳乐队结构$ z_ {2} $ wortices的行为为Abelian Anyons。另一方面,只要没有旋转液态不稳定,其他非基塔耶ev相互作用,例如海森堡相互作用和$γ$项,仅影响Majoraana频段的带宽。
We investigate how the Kitaev spin liquid state described by Majorana fermions coupled with $Z_2$ gauge fields is affected by non-Kitaev interactions which exist in real candidate materials of the Kitaev magnet. It is found that the off-diagonal exchange interaction referred to as the $Γ'$ term dramatically changes the Majorana band structure in the case of the antiferromagnetic Kitaev interaction, and gives rise to a topological phase transition from a non-Abelian topological phase with the Chern number equal to $\pm 1$ to an Abelian phase with the Chern number equal to $\pm 2$, in which the $Z_{2}$ vortices behave as Abelian anyons. On the other hand, other non-Kitaev interactions such as the Heisenberg interaction and the $Γ$ term, only affect the bandwidth of the Majorana band as long as the spin liquid state is not destabilized.