Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
复制标题
二维费米表面强耦合量子临界：自旋和电荷集体模式的细分
DOI：
10.1103/physrevb.66.235117
复制
发表时间：
2002
影响因子：
3.7
通讯作者：
T. Morinari
中科院分区：
文献类型：
--
作者：
S. Sachdev;T. Morinari
我们描述了具有金属费米表面的二维模型，该模型在其上临界尺寸以下显示由强相互作用临界场理论控制的量子相变。主要的例子涉及与共线自旋密度波（“条纹”）相关性中的位错相关联的拓扑序参数的转变：位错的抑制导致自旋和电荷集体模式的细分，并且这种转变已被提议作为接近最佳掺杂的铜氧化物的候选者。通过重整化群分析了费米面的序参量与长波体积形变和形状形变之间的耦合，发现在大多数情况下，费米面会发生向非微扰区的逃逸流.对可能的二阶量子临界点的简单可观测性质进行了唯象标度分析，其结果与量子自旋玻璃跃迁附近的结果以及Schr“oder等人提出的唯象形式十分相似[Nature（伦敦）$407，$351（2000）].
We describe two-dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve transitions with a topological order parameter associated with dislocations in collinear spin-density-wave (``stripe'') correlations: the suppression of dislocations leads to a fractionalization of spin and charge collective modes, and this transition has been proposed as a candidate for the cuprates near optimal doping. The coupling between the order parameter and long-wavelength volume and shape deformations of the Fermi surface is analyzed by the renormalization group, and a runaway flow to a nonperturbative regime is found in most cases. A phenomenological scaling analysis of simple observable properties of possible second-order quantum critical points is presented, with results quite similar to those near quantum spin-glass transitions and to phenomenological forms proposed by Schr\"oder et al. [Nature (London) $407,$ 351 (2000)].