arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1206.3103cond-mat.str-el
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相互作用量子自旋Hall模型的磁有序现象

Magnetic ordering phenomena of interacting quantum spin Hall models

Johannes Reuther, Ronny Thomale, Stephan Rachel

摘要:

为表现出量子自旋霍尔效应的拓扑能带结构定义的二维哈伯德模型在现象学表征和微观分类方面提出了根本性的挑战。在无限耦合U在半填充的限制,自旋模型哈密顿量产生的强耦合扩展显示出各种形式的磁有序现象,这取决于底层的自旋轨道耦合项。我们研究了具有z轴内禀自旋-轨道耦合的Kane-Mele哈伯德模型的无限U极限,并将其推广到一个一般的多方向自旋轨道项,该项已被声称可以解释单层Na 2 IrO 3中的物理场景。我们发现,轴向自旋对称性,这是保持在前者,但在后者打破了有一个根本的影响的磁相图,因为我们改变的自旋轨道耦合强度。虽然Kane-Mele自旋模型显示了从传统的蜂窝状Neel到XY反铁磁性的连续演化,这避免了由增加的自旋-轨道耦合所施加的挫折,但是多方向的自旋-轨道项在中等耦合强度下诱导了相称到不相称的转变,并且在无限自旋-轨道耦合的极限下产生了具有72个位点晶胞的复杂螺旋状态。根据我们的发现,我们推测,在轴向自旋对称性破缺的情况下,在足够大的自旋-轨道耦合和中间U时,有一个很大的附加相的倾向。

英文摘要:

The two-dimensional Hubbard model defined for topological band structures exhibiting a quantum spin Hall effect poses fundamental challenges in terms of phenomenological characterization and microscopic classification. In the limit of infinite coupling U at half filling, the spin model Hamiltonians resulting from a strong coupling expansion show various forms of magnetic ordering phenomena depending on the underlying spin-orbit coupling terms. We investigate the infinite U limit of the Kane-Mele Hubbard model with z-axis intrinsic spin-orbit coupling as well as its generalization to a generically multi-directional spin orbit term which has been claimed to account for the physical scenario in monolayer Na2IrO3. We find that the axial spin symmetry which is kept in the former but broken in the latter has a fundamental impact on the magnetic phase diagram as we vary the spin orbit coupling strength. While the Kane-Mele spin model shows a continuous evolution from conventional honeycomb Neel to XY antiferromagnetism which avoids the frustration imposed by the increased spin-orbit coupling, the multi-directional spin-orbit term induces a commensurate to incommensurate transition at intermediate coupling strength, and yields a complex spiral state with a 72 site unit cell in the limit of infinite spin-orbit coupling. From our findings, we conjecture that in the case of broken axial spin symmetry there is a large propensity for an additional phase at sufficiently large spin-orbit coupling and intermediate U.

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