论文标题
从整数到石墨烯的分数量子厅效应
From the Integer to the Fractional Quantum Hall Effect in Graphene
论文作者
论文摘要
分数量子大厅效应是在强垂直磁场中二维系统中电子相关性的非常特殊的表现。由于电子在电子状态的特殊手性的同一兰道水平上的电子之间的强烈库仑排斥而产生。这种手性源自经典的回旋体运动，即由于磁场的方向引起的特定电子旋转感。石墨烯中FQHE的特异性由从费米水平附近的电子带遗传的四倍自旋 - 谷化堕落元组成。相关的库仑相互作用尊重这种SU（4）对称性，因此与一个通用的四组分分数量子霍尔效应以及其他相关的四组分相，例如Spin-Valley Ferromagnetic态。与实验证据相比，本文的目的是对这些异国情调阶段的理论讨论。
The fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons in the same Landau level that conspires with a particular chirality of the electronic states. This chirality is inherited from the classical cyclotron motion, i.e. a particular sense of electronic rotation due to the orientation of the magnetic field. The specificity of the FQHE in graphene consists of a four-fold spin-valley degeneracy inherited from the electronic bands in the vicinity of the Fermi level. The relevant Coulomb interaction respects this SU(4) symmetry, and one is therefore confronted with a generic four-component fractional quantum Hall effect, as well as with other correlated four-component phases, such as spin-valley ferromagnetic states. The present article aims at a -- mainly theoretical -- discussion of these exotic phases, in comparison with experimental evidence for them.
