Dynamics and energy landscape of the jammed spin liquid
Dynamics and energy landscape of the jammed spin liquid
复制标题
DOI：
10.1103/physrevb.99.054416
复制
发表时间：
2019-02-19
影响因子：
3.7
通讯作者：
Moessner, Roderich
中科院分区：
文献类型：
--
作者：
Bilitewski, Thomas;Zhitomirsky, Mike E.;Moessner, Roderich
我们研究了 Kagome 晶格上经典键无序反铁磁海森堡模型的低温静态和动态特性。最近，该模型被证明拥有一种新型自旋液体，该液体表现出指数级数量的离散基态。令人惊讶的是，尽管基态具有刚性，但我们发现相应的自旋刚度消失。局部而言，Hessian 矩阵的低特征向量似乎表现出分形逆参与比。它的自旋动力学类似于库仑海森堡自旋液体，但表现出一种新的低温动态抑制机制，但随着系统尺寸的增加，这种机制会被挤出。我们还探讨了支撑这种行为的能量景观的特性，并发现不同基态之间的能量障碍随着系统尺寸的增加而消失。反过来，局部最小值显得高度相关，系统往往会在软方向的积累中失去其初始状态的记忆。
We study the low temperature static and dynamical properties of the classical bond-disordered antiferromagnetic Heisenberg model on the kagome lattice. This model has recently been shown to host a new type of spin liquid exhibiting an exponentially large number of discrete ground states. Surprisingly, despite the rigidity of the ground states, we establish the vanishing of the corresponding spin stiffness. Locally, the low-lying eigenvectors of the Hessian appear to exhibit a fractal inverse participation ratio. Its spin dynamics resembles that of Coulomb Heisenberg spin liquids but exhibits a new low-temperature dynamically arrested regime, which however gets squeezed out with increasing system size. We also probe the properties of the energy landscape underpinning this behavior and find energy barriers between distinct ground states vanishing with system size. In turn the local minima appear highly connected and the system tends to lose memory of its initial state in an accumulation of soft directions.