Department of Physics, 390 UCB, University of Colorado, Boulder, Colorado 80309, USA.
Phys Rev Lett. 2012 Jun 22;108(25):251601. doi: 10.1103/PhysRevLett.108.251601. Epub 2012 Jun 19.
We obtain fermion fluctuation equations around extremal charged black hole geometries in maximal gauged supergravity in four and five dimensions, and we demonstrate that their solutions display Fermi surface singularities for the dual conformal field theories at finite chemical potential. The four-dimensional case is a massless charged fermion, while in five dimensions we find a massive charged fermion with a Pauli coupling. In both cases, the corresponding scaling exponent is less than one half, leading to non-Fermi liquid behavior with no stable quasiparticles, although some excitations have widths more than 10 times smaller than their excitation energy. In the five-dimensional case, both the Fermi momentum and the scaling exponent appear to have simple values, and a Luttinger calculation suggests that the gauginos may carry most of the charge of the black hole.
我们得到了在四维和五维最大规范超引力中极值带电黑洞几何周围的费米子涨落方程，并证明了它们的解在有限化学势下对偶共形场论中表现出费米面奇点。在四维情况下是无质量带电费米子，而在五维情况下我们发现了具有 Pauli 耦合的有质量带电费米子。在这两种情况下，相应的标度指数小于二分之一，导致没有稳定准粒子的非费米液体行为，尽管一些激发的宽度比它们的激发能大 10 倍以上。在五维情况下，费米动量和标度指数似乎都具有简单的值，而 Luttinger 计算表明，gaugino 可能携带黑洞的大部分电荷。
