Emergent quantum criticality, Fermi surfaces, and AdS2
Emergent quantum criticality, Fermi surfaces, and AdS2
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DOI：
10.1103/physrevd.83.125002
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发表时间：
2009-07
影响因子：
5
通讯作者：
T. Faulkner;Hong Liu;J. McGreevy;David Vegh
中科院分区：
文献类型：
--
作者：
T. Faulkner;Hong Liu;J. McGreevy;David Vegh
在有限电荷密度的对偶d维场理论中，引力解有一个近视界区域，即ads{sub2}xr{sup d-1}。ADS{sub2}区的标度不变性表明，在低能下，对偶场理论表现出由(0+1)维共形场理论(CFT)控制的紧急量子临界行为。这一解释揭示了最近发现的费米表面的全息描述，允许对它们的低能激发进行分析理解。例如，在浮现红外CFT中，费米面附近的标度行为是由共形维度决定的。特别地，当算符在IR CFT中是边缘时，相应的谱函数正好是‘’边缘费米液体‘’的形式，假设描述最佳掺杂的铜酸盐。
Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region, which is AdS{sub 2}xR{sup d-1}. The scale invariance of the AdS{sub 2} region implies that at low energies the dual field theory exhibits emergent quantum critical behavior controlled by a (0+1)-dimensional conformal field theories (CFT). This interpretation sheds light on recently-discovered holographic descriptions of Fermi surfaces, allowing an analytic understanding of their low-energy excitations. For example, the scaling behavior near the Fermi surfaces is determined by conformal dimensions in the emergent IR CFT. In particular, when the operator is marginal in the IR CFT, the corresponding spectral function is precisely of the ''marginal Fermi liquid'' form, postulated to describe the optimally doped cuprates.