Karch A, Son D T, Starinets A O
Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.
Phys Rev Lett. 2009 Feb 6;102(5):051602. doi: 10.1103/PhysRevLett.102.051602.
Quantum liquids are characterized by the distinctive properties such as the low-temperature behavior of heat capacity and the spectrum of low-energy quasiparticle excitations. In particular, at low temperature, Fermi liquids exhibit the zero sound, predicted by Landau in 1957 and subsequently observed in liquid He-3. In this Letter, we ask whether such characteristic behavior is present in theories with a holographically dual description. We consider a class of gauge theories with fundamental matter fields whose holographic dual in the appropriate limit is given in terms of the Dirac-Born-Infeld action in anti-de Sitter space. We find that these systems also exhibit a sound mode at zero temperature despite having a non-Fermi-liquid behavior of the specific heat. These properties suggest that holography identifies a new type of quantum liquid which potentially could be experimentally realized in strongly correlated systems.
量子液体具有一些独特的性质，比如低温下的热容行为以及低能准粒子激发谱。特别是在低温时，费米液体展现出零声，这是朗道在1957年预言并随后在液氦 - 3中观测到的。在本信函中，我们探讨在具有全息对偶描述的理论中是否存在这种特征行为。我们考虑一类带有基本物质场的规范理论，其在适当极限下的全息对偶是由反德西特空间中的狄拉克 - 玻恩 - 英费尔德作用给出的。我们发现，尽管这些系统的比热具有非费米液体行为，但它们在零温度时也展现出一种声模。这些性质表明，全息术识别出了一种新型量子液体，它有可能在强关联系统中通过实验实现。
