论文标题
{\ it倾斜}狄拉克材料的全息流体动力学
Holographic Hydrodynamics of {\it Tilted} Dirac Materials
论文作者
论文摘要
我们向带有倾斜的狄拉克锥体的量子材料呈现重力双重，在2+1维时空中。在这个多体系统中，电子自由度的强烈耦合，构成狄拉克流体，并接受有效的流体动力描述。全息技术用于计算流体的热力学变量和流体传输，在渐近抗De Sitter时空的边界上，整体中具有增强的黑洞。我们发现，这些材料与正常的狄拉克流体表现出依赖狄拉克锥的倾斜度的偏差。特别是，剪切粘度与熵密度比降低，并且在该系统中违反了KSS结合。可以在二维量子材料中对该预测进行实验验证（{\ it，例如}有机$α$ - （{bedt} - {ttf}）$ _ 2 $ _ 2 $ i $ _3 $和$ 8pmmn $ borophene），并带有倾斜的零食锥。
We present a gravity dual to a quantum material with tilted Dirac cone in 2+1 dimensional spacetime. In this many-body system the electronics degrees of freedom are strongly-coupled, constitute a Dirac fluid and admit an effective hydrodynamic description. The holographic techniques are applied to compute the thermodynamic variables and hydrodynamic transports of a fluid on the boundary of an asymptotically anti de Sitter spacetime with a boosted black hole in the bulk. We find that these materials exhibit deviations from the normal Dirac fluid which rely on the tilt of the Dirac cone. In particular, the shear viscosity to entropy density ratio is reduced and the KSS bound is violated in this system. This prediction can be experimentally verified in two-dimensional quantum materials ({\it e.g.} organic $α$-({BEDT}-{TTF})$_2$I$_3$ and $8Pmmn$ borophene) with tilted Dirac cone.
