标题： 量子不可压缩液体的共振光致发光 显示英文标题

标题： Resonant Photoluminescence of Quantum Incompressible Liquids

摘要： 我们研究了在二维电子系统中形成的不可压缩量子液体产生的共振光致发光。 我们证明，对于由一个占据零德雷克能级上自旋子能级的光激发电子和价带空穴组成的激子，无序势涨落对光学复合的影响被强烈抑制，表明无序得到了完全屏蔽。 我们确定了一个对激发能量不敏感但强烈依赖于电子温度的光学不变量，作为探测量子液体中激子复合的探针。 对该量的分析显示，随着电子温度的降低，量子液体的形成始于(n = 1/3)，这与劳夫林态一致。 进一步冷却后，表现出量子液体行为的填充因子范围从(n = 1/3)连续扩展到(n = 1/2)。 不同不可压缩量子液体状态之间的转变是平滑的，没有明确的相边界将绝缘和导电区域分开。 局部上，即使整体输运测量表明有限的电导率，系统仍保持量子液体特性。 最后，我们提出了一张相图，明确了不可压缩量子液体相对于导电相的稳定区域。 显示英文摘要

摘要： We investigate resonant photoluminescence arising from incompressible quantum liquids formed in two-dimensional electron systems. We demonstrate that, for excitons composed of a photoexcited electron occupying the upper spin sublevel of the zeroth Landau level and a valence-band hole, the influence of disorder potential fluctuations on optical recombination is strongly suppressed, indicating complete screening of the disorder. We identify an optical invariant quantity that is insensitive to excitation energy yet strongly dependent on the electron temperature, serving as a probe of exciton recombination in quantum liquids. Analysis of this quantity reveals that quantum-liquid formation initiates at (n = 1/3) as the electron temperature decreases, consistent with the Laughlin state. Upon further cooling, the range of filling factors exhibiting quantum-liquid behavior expands continuously from (n = 1/3) toward (n = 1/2). Transitions between distinct incompressible quantum-liquid states occur smoothly, without well-defined phase boundaries separating insulating and conducting regimes. Locally, the system retains quantum-liquid characteristics even as bulk transport measurements indicate finite conductivity. Finally, we present a phase diagram delineating the stability region of incompressible quantum liquids relative to conductive phases.