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arXiv 1012.3751hep-thcond-mat.str-el
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全息术中的动力学能隙和类铜物理

Dynamical Gap and Cuprate-like Physics from Holography

Mohammad Edalati, Robert G. Leigh, Ka Wai Lo, Philip W. Phillips

摘要:

我们研究了在存在强度为p的体偶极(Pauli)相互作用项的情况下,与Reissner-Nordström AdS_{d+1}背景对偶的边界理论中费米子的性质。我们表明,通过简单地改变参数p的值,我们可以连续地从费米液体(小p)调谐到临界p值处的边缘费米液体行为,到一般的非费米液体在中间值的p,最后到莫特绝缘体在大值的体泡利耦合。由于所有这些阶段都可以在铜氧化物相图中看到,我们研究的全息模型具有以莫特系统为代表的强耦合物理的关键要素。此外,我们将我们的分析扩展到有限温度,并表明莫特间隙关闭。特别令人感兴趣的是,当间隙与临界温度的比率为10的数量级时,它闭合。这种行为与在经典的莫特绝缘体VO_2中观察到的行为非常相似。然后,我们分析的非解析性的边界理论费米子介电常数的频率和动量的通用值通过计算的准正常模式的散装费米子。毫不奇怪,我们没有发现偶极相互作用引起边界理论不稳定的证据。最后,我们简要地考虑了超导凝聚的引入,发现在这种情况下,费米子间隙是由标量费米子耦合驱动的,而不是由泡利耦合。

英文摘要:

We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordström AdS_{d+1} background in the presence of a bulk dipole (Pauli) interaction term with strength p. We show that by simply changing the value of the parameter p we can tune continuously from a Fermi liquid (small p), to a marginal Fermi liquid behavior at a critical value of p, to a generic non-Fermi liquid at intermediate values of p, and finally to a Mott insulator at large values of the bulk Pauli coupling. As all of these phases are seen in the cuprate phase diagram, the holographic model we study has the key elements of the strong coupling physics typified by Mott systems. In addition, we extend our analysis to finite temperature and show that the Mott gap closes. Of particular interest is that it closes when the ratio of the gap to the critical temperature is of the order of ten. This behavior is very much similar to that observed in the classic Mott insulator VO_2. We then analyze the non-analyticities of the boundary theory fermion correlators for generic values of frequency and momentum by calculating the quasi-normal modes of the bulk fermions. Not surprisingly, we find no evidence for the dipole interaction inducing an instability in the boundary theory. Finally, we briefly consider the introduction of superconducting condensates, and find that in that case, the fermion gap is driven by scalar-fermion couplings rather than by the Pauli coupling.

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