Holographic non-Fermi-liquid fixed points

Holographic non-Fermi-liquid fixed points
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DOI:
10.1098/rsta.2010.0354
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发表时间:
2011-01
期刊:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子:
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通讯作者:
T. Faulkner;N. Iqbal;Hong Liu;J. McGreevy;David Vegh
T. Faulkner;N. Iqbal;Hong Liu;J. McGreevy;David Vegh
中科院分区:
其他
文献类型:
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作者:
T. Faulkner;N. Iqbal;Hong Liu;J. McGreevy;David Vegh

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从弦理论衍生出来的技术可以用来研究强相互作用费米子的集合。通过这种“全息对偶性”,各种强耦合的多体系统可以用引力的辅助理论来解决。有限密度的简单全息实现呈现出具有尖锐费米面的单粒子谱函数,其形式不同于朗道理论的形式。自能由红外(IR)固定点理论中的相关函数给出,该理论由对偶引力描述中的二维反德西特空间(AdS2)区域表示。在这里,我们详细描述了这个IR相关函数的重力计算。
Techniques arising from string theory can be used to study assemblies of strongly interacting fermions. Via this ‘holographic duality’, various strongly coupled many-body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared (IR) fixed-point theory that is represented by a two-dimensional anti de Sitter space (AdS2) region in the dual gravitational description. Here, we describe in detail the gravity calculation of this IR correlation function.