论文标题
电荷密度波及其在各向异性量子厅系统中的过渡
Charge density waves and their transitions in anisotropic quantum Hall systems
论文作者
论文摘要
在最近的实验中，外部各向异性是调整不同阶段和研究其竞争的有用工具。在本文中，我们在$ n = 2 $ landau级别中查看量子厅电荷密度波状态。没有各向异性，Wigner晶体，$ 2 $ - 电子气泡相和条带相之间存在两个一阶相变。通过添加质量各向异性，我们的分析和数值研究表明，$ 2 $ - 电子气泡相消失，条纹相在相图中显着扩大其域。同时，在气泡相位出现之后，可以在实验上观察到的条纹晶体制度。随着各向异性的增加，转变处的相的能量随着填充的函数而逐渐平滑。我们得出的结论是，所有一阶相变。通过连续相变的取代，提供了连续量子晶体相变的可能实现。
In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy, there are two first-order phase transitions between the Wigner crystal, the $2$-electron bubble phase, and the stripe phase. By adding mass anisotropy, our analytical and numerical studies show that the $2$-electron bubble phase disappears and the stripe phase significantly enlarges its domain in the phase diagram. Meanwhile, a regime of stripe crystals that may be observed experimentally is unveiled after the bubble phase gets out. Upon increase of the anisotropy, the energy of the phases at the transitions becomes progressively smooth as a function of the filling. We conclude that all first-order phase transitions are replaced by continuous phase transitions, providing a possible realisation of continuous quantum crystalline phase transitions.
