论文标题
不可压缩的电子液体中的集体效应
Collective effects in an incompressible electronic liquid
论文作者
论文摘要
从Landau的动力学方程式开始，我们表明，$ d = 2,3 $的尺寸在Landau类型有效理论中所描绘的电子液体将变得不可压缩，因为Landau参数满足（I）$ 1+f_ {1+f_ {1}^{s}^{s}^{s}/d = 0 $ f = 0 $或（ii）$ f_} $ f_ {0} $} $}条件（i）是当前通道中的pomeranchuk不稳定，并提出带有Spinon Fermi表面的量子自旋液体（QSL）状态。而条件（ii）表示电荷通道中的强反排斥并导致常规电荷和热绝缘子。 In the collisionless regime ($ωτ\gg{}1$) and the hydrodynamic regime ($ωτ\ll{}1$), the zero and first sound modes have been studied and classified by symmetries, including the longitudinal and transverse modes in $d=2,3$ and the higher angular momentum modes in $d=3$.这些集体模式的足够（和/或必要的）条件已显示出来。已经证明，在两个不可压缩条件下（i）或（ii），其中一些集体模式将以完全不同的方式行事。已在$ d = 3 $中提出了可能的nematic QSL状态和无间隙QSL状态的层次结构。
Starting from the Landau's kinetic equation, we show that an electronic liquid in $d=2,3$ dimensions depicted by a Landau type effective theory will become incompressible on condition that the Landau parameters satisfy either (i) $1+F_{1}^{s}/d=0$ or (ii) $F_{0}^{s}\to{}+\infty$. The condition (i) is the Pomeranchuk instability in the current channel and suggests a quantum spin liquid (QSL) state with a spinon Fermi surface; while the condition (ii) means that the strong repulsion in the charge channel and leads to a conventional charge and thermal insulator. In the collisionless regime ($ωτ\gg{}1$) and the hydrodynamic regime ($ωτ\ll{}1$), the zero and first sound modes have been studied and classified by symmetries, including the longitudinal and transverse modes in $d=2,3$ and the higher angular momentum modes in $d=3$. The sufficient (and/or necessary) conditions of these collective modes have been revealed. It has been demonstrated that some of these collective modes will behave in quite different manners under two incompressibility conditions (i) or (ii). Possible nematic QSL states and a hierarchy structure for gapless QSL states have been proposed in $d=3$.
