论文标题
Kagome Lattice Holstein模型中的充电顺序：一项混合蒙特卡洛研究
Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
论文作者
论文摘要
Holstein模型是对电子 - 光子相互作用的范式描述，其中电子夫妇与局部无分散声子模式无关，而与动量无关。该模型已显示出在多种几何形状（包括方形，蜂窝和Lieb lattices）上的多种有序基态，例如电荷密度波（CDW）阶和超导性。在这项工作中，我们使用最近开发的混合蒙特卡洛模拟方法研究了Kagome晶格的Holstein模型中的CDW形成。我们提供了$ \ sqrt {3} \ times \ sqrt {3} $ cdw订单的证据，平均电子填充$ \ langle n \ rangle = 2/3 $每个站点，每个站点的订购波形在$ k $ $ k $ - brillouin Zone的$ k $。我们估计发生在$ t_ {c} \大约t/18 $的相变，其中$ t $是最近的邻居跳跃参数。我们的模拟在其他电子填充物上没有发现CDW订单的签名，也没有在温度下订购Momenta $ t \ geq T/20 $。
The Holstein model is a paradigmatic description of the electron-phonon interaction, in which electrons couple to local dispersionless phonon modes, independent of momentum. The model has been shown to host a variety of ordered ground states such as charge density wave (CDW) order and superconductivity on several geometries, including the square, honeycomb, and Lieb lattices. In this work, we study CDW formation in the Holstein model on the kagome lattice, using a recently developed hybrid Monte Carlo simulation method. We present evidence for $\sqrt{3} \times \sqrt{3}$ CDW order at an average electron filling of $\langle n \rangle =2/3$ per site, with an ordering wavevector at the $K$-points of the Brillouin zone. We estimate a phase transition occurring at $T_{c}\approx t/18$, where $t$ is the nearest-neighbor hopping parameter. Our simulations find no signature of CDW order at other electron fillings or ordering momenta for temperatures $T \geq t/20$.
