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首页> 外文期刊>Physical review >Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice
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Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice

机译：蜂窝晶格上半填充反铁磁Kondo-Heisenberg模型中的Skyrmion缺陷和竞争单峰顺序

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摘要

Due to the interaction between the topological defects of an order parameter and underlying fermions, the defects can possess induced fermion numbers, leading to several exotic phenomena of fundamental importance to both condensed matter and high-energy physics. One of the intriguing outcomes of induced fermion numbers is the presence of fluctuating competing orders inside the core of a topological defect. In this regard, the interaction between fermions and skyrmion excitations of an antiferromagnetic phase can have important consequences for understanding the global phase diagrams of many condensed matter systems where antiferromagnetism and several singlet orders compete. We critically investigate the relation between fluctuating competing orders and skyrmion excitations of the antiferromagnetic insulating phase of a half-filled Kondo-Heisenberg model on a honeycomb lattice. By combining analytical and numerical methods, we obtain the exact eigenstates of underlying Dirac fermions in the presence of a single skyrmion configuration, which are used for computing the induced chiral charge. Additionally, by employing this nonperturbative eigenbasis, we calculate the susceptibilities of different translational symmetry breaking charges, bond and current density wave orders, and translational symmetry preserving Kondo singlet formations. Based on the computed susceptibilities, we establish spin Peierls and Kondo singlets as dominant competing orders of antiferromagnetism. We show favorable agreement between our findings and field theoretic predictions based on the perturbative gradient expansion scheme, which crucially relies on the adiabatic principle and plane-wave eigenstates for Dirac fermions. The methodology developed here can be applied to many other correlated systems supporting competition between spin-triplet and spin-singlet orders in both lower and higher spatial dimensions.
机译：由于阶跃参数的拓扑缺陷与下面的费米子之间的相互作用，这些缺陷可以具有诱导的费米子数，从而导致一些对凝聚态物质和高能物理都至关重要的奇异现象。引起费米子数的有趣结果之一是拓扑缺陷核心内部存在波动的竞争顺序。在这方面，反铁磁相的费米子与天空离子激发之间的相互作用对于理解许多反铁磁和多个单重态竞争的凝聚态系统的整体相图可能会产生重要的影响。我们批判性地研究了蜂窝晶格上半填充的Kondo-Heisenberg模型的竞争竞争阶跃与反铁磁绝缘相的skyrmion激发之间的关系。通过分析和数值方法相结合，我们获得了单个斯凯姆离子构型下潜在狄拉克费米子的精确本征态，这些固有态用于计算手性电荷。另外，通过采用这种非扰动本征基础，我们计算了不同平移对称断裂电荷，键和电流密度波阶以及平移对称性保留近藤单线态的磁化率。基于计算的磁化率，我们将自旋Peierls和Kondo单峰作为反铁磁性的主要竞争顺序。我们显示了我们的发现与基于微扰梯度展开方案的现场理论预测之间的有利一致性，该方案至关重要地依赖于绝热原理和狄拉克费米子的平面波本征态。此处开发的方法可以应用于许多其他相关系统，这些系统支持在较低和较高空间维度上自旋三胞胎和自旋三胞胎顺序之间的竞争。

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  • 来源
    《Physical review》 |2017年第12期|125101.1-125101.14|共14页
  • 作者

    Chia-Chuan Liu; Pallab Goswami; Qimiao Si;

  • 作者单位

    Department ofPhysics and Astronomy, Rice University, Houston, Texas 77005, USA;

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

    Department ofPhysics and Astronomy, Rice University, Houston, Texas 77005, USA;

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