Holographic fermions in charged Lifshitz theory

Holographic fermions in charged Lifshitz theory
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带电利夫希茨理论中的全息费米子

DOI:
10.1103/physrevd.86.105037
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发表时间:
2012-01
期刊:
Physical Review D - Particles, Fields, Gravitation and Cosmology
影响因子:
--
通讯作者:
Kuang, Xiao-Mei
Kuang, Xiao-Mei
中科院分区:
其他
文献类型:
--
作者:
Fang, Li Qing;Ge, Xian-Hui;Kuang, Xiao-Mei

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利用AdS/CFT对应研究了有限温度下带电Lifshitz黑洞中全息费米子的性质。在动力学指数z=2的带电Lifshitz背景中,色散关系是线性的。讨论了绿色函数虚部相对于k_{\perp}=k-k_F$的标度行为。我们发现,虽然该系统具有线性色散关系和二次准粒子宽度,但它不满足Luttinger定理。我们还发现,标度参数$\alpha$和$\beta$随电荷q$的变化很小。此外,我们还讨论了动力学指数z的影响,并在z=4和z=6的情况下,证明了当动力学指数z增大时,ImG_{ii}变得光滑.
We investigate the properties of holographic fermions in charged Lifshitz black holes at finite temperature through the AdS/CFT correspondence. In the charged Lifshitz background with the dynamical exponent $z=2$, we find that the dispersion relation is linear. The scaling behavior of the imaginal part of the Green function relative to $k_{\perp}=k-k_F$ is also discussed. We find, although the system has linear dispersion relation and quadratic quasi-particle width, it does not satisfy Luttinger's theorem. We also find that the variation of the scaling parameters $\alpha$ and $\beta$ is small as the charge $q$ varies. Furthermore, we also discuss the effect of the dynamical exponent $z$ by considering the cases $z=4$ and $z=6$ and show that $ImG_{ii}$ become smooth when the dynamical exponent $z$ increases.
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