Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity

Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity
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DOI:
10.1007/jhep01(2012)094
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发表时间:
2011-05
影响因子:
5.4
通讯作者:
Norihiro Iizuka;N. Kundu;P. Narayan;S. Trivedi
Norihiro Iizuka;N. Kundu;P. Narayan;S. Trivedi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Norihiro Iizuka;N. Kundu;P. Narayan;S. Trivedi

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利用规范-引力对应,研究了一类强耦合系统中费米子算符的两点函数。引力描述包括一个规范场和一个决定规范耦合和势能的膨胀子。在这个系统中,极端的黑膜解通常具有零熵。通过分析这些极端黑膜背景中的带电费米子,我们计算了相应的边界费米子算符的两点函数。我们发现,在参数空间的某个区域内,它是费米液体类型的。在这个区域之外,不存在定义明确的准粒子,激发在零频获得一个非零散的宽度。在相变时,两点函数可以表现出非费米液体行为。
We study the two-point function for fermionic operators in a class of strongly coupled systems using the gauge-gravity correspondence. The gravity description includes a gauge field and a dilaton which determines the gauge coupling and the potential energy. Extremal black brane solutions in this system typically have vanishing entropy. By analyzing a charged fermion in these extremal black brane backgrounds we calculate the two-point function of the corresponding boundary fermionic operator. We find that in some region of parameter space it is of Fermi liquid type. Outside this region no well-defined quasi-particles exist, with the excitations acquiring a non-vanishing width at zero frequency. At the transition, the two-point function can exhibit non-Fermi liquid behaviour.