论文标题
单层石墨烯中具有非常规配对的分数量子厅效应
Fractional quantum Hall effect with unconventional pairing in monolayer graphene
论文作者
论文摘要
在观察$ n = 3 $ landau单层石墨烯的$ n = 3 $ landau级别中的分母分数量子厅效应的动机[Y. kim $ \ textit {et al。} $，自然物理学$ \ textbf {15} $，154（2019）]，我们考虑了一个复合费米子的bardeen-cooper-schrieffer变体状态，并发现该landau级别的复合 - 弗里米·弗里米（Composite-Fermi fermi）在$ f $ - f $ -Wave $ -Wave配对是不稳定的。类似的计算表明，在$ n = 2 $ graphene landau级别的一半填充的复合费米斯级的$ p $波配对的可能性，而在$ n = 0 $和$ 1 $ graphene landau水平的一半填充时，没有配对不稳定。讨论了这些结果与实验的相关性。
Motivated by the observation of even denominator fractional quantum Hall effect in the $n=3$ Landau level of monolayer graphene [Y. Kim $\textit{et al.}$, Nature Physics $\textbf{15}$, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an $f$-wave pairing. Analogous calculation suggests the possibility of a $p$-wave pairing of composite fermions at half filling in the $n=2$ graphene Landau level, whereas no pairing instability is found at half filling in the $n=0$ and $1$ graphene Landau levels. The relevance of these results to experiments is discussed.
