Remarks on Fermi liquid from holography

Remarks on Fermi liquid from holography
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全息术对费米液体的评论

DOI:
10.1103/physrevd.78.086004
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发表时间:
2008
期刊:
影响因子:
5
通讯作者:
A. Parnachev
A. Parnachev
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Kulaxizi;A. Parnachev

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我们研究了 N=4 超杨-米尔斯理论中费米液体形成的特征,该理论与全局 U(1) 矢量对称性的非零化学势下的基本超多重态相结合。在强 't Hooft 耦合下,系统可以根据 AdS{sub 5}xS{sup 5} 背景中的 D7 膜动力学进行分析。电荷密度消失且有限的相在零温度下通过量子相变分离。在超多重态质量消失的情况下,卡奇、儿子和斯塔里内茨发现了一种无间隙激发,其速度等于声速。我们发现这种零声音模式对于超多重态质量的所有值都持续存在,并且其速度在相变点消失。强耦合条件下临界指数的值以及零声与第一声的速度之比与朗道费米液体理论的预测一致。
We investigate the signatures of Fermi liquid formation in the N=4 super Yang-Mills theory coupled to fundamental hypermultiplet at nonvanishing chemical potential for the global U(1) vector symmetry. At strong 't Hooft coupling the system can be analyzed in terms of the D7-brane dynamics in the AdS{sub 5}xS{sup 5} background. The phases with vanishing and finite charge density are separated at zero temperature by a quantum phase transition. In the case of vanishing hypermultiplet mass, Karch, Son, and Starinets discovered a gapless excitation whose speed equals the speed of sound. We find that this zero sound mode persists to all values of the hypermultiplet mass, and its speed vanishes at the point of phase transition. The value of critical exponent and the ratio of the velocities of zero and first sounds are consistent with the predictions of Landau Fermi liquid theory at strong coupling.
全息量子液体。
DOI: 10.1103/physrevlett.102.051602
发表时间: 2009
影响因子: 8.6
作者:
Karch A
通讯作者: Karch A