Landau levels, magnetic fields and holographic Fermi liquids
Landau levels, magnetic fields and holographic Fermi liquids
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DOI：
10.1088/1751-8113/43/34/345404
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发表时间：
2010-01
期刊：
影响因子：
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通讯作者：
T. Albash;Clifford V. Johnson
中科院分区：
文献类型：
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作者：
T. Albash;Clifford V. Johnson
我们进一步考虑了零温度下反de Sitter时空中双子黑洞背景中的探测费米子，比较和对比了以前文献中出现的两种不同类型的解。每一类都有用整数n标记的成员，对应于费米子的第n个朗道能级。我们感兴趣的是研究费米子的光谱函数，将其中的极点解释为在有限化学势的背景磁场中全息对偶强耦合理论中与费米面边缘相关的准粒子。我们用解析和数值两种方法，显式地展示了一类解如何自然地导致无穷无尽的准粒子峰，表明每个能级n都有一个费米面。我们给出了这些峰的一些性质，这些峰在大n时表现得很好，提取了费米能量随n和的标度，以及准粒子的色散。
We consider further a probe fermion in a dyonic black hole background in anti-de Sitter spacetime, at zero temperature, comparing and contrasting two distinct classes of solution that have previously appeared in the literature. Each class has members labeled by an integer n, corresponding to the nth Landau level for the fermion. Our interest is in the study of the spectral function of the fermion, interpreting poles in it as indicative of quasiparticles associated with the edge of a Fermi surface in the holographically dual strongly coupled theory in a background magnetic field at finite chemical potential. Using both analytical and numerical methods, we explicitly show how one class of solutions naturally leads to an infinite family of quasiparticle peaks, signaling the presence of a Fermi surface for each level n. We present some of the properties of these peaks, which fall into a well-behaved pattern at large n, extracting the scaling of Fermi energy with n and , as well as the dispersion of the quasiparticles.