Fractional Quantum Hall Effect with Unconventional Pairing in Monolayer Graphene
Fractional Quantum Hall Effect with Unconventional Pairing in Monolayer Graphene
复制标题
单层石墨烯中非常规配对的分数量子霍尔效应
DOI：
10.1103/physrevlett.130.126201
复制
发表时间：
2023
影响因子：
8.6
通讯作者：
Jain, J. K.
中科院分区：
文献类型：
--
作者：
Sharma, Anirban;Pu, Songyang;Balram, Ajit C.;Jain, J. K.
由于在单层石墨烯的朗道能级中观察到偶分母分数量子霍尔效应[Kimet等人，15，154（2019）NPAHAX 1745 -247310.1038/s41567-018-0355-x]，我们考虑了复合费米子的Bardeen-Cooper-Schrieffer变分态，发现在该朗道能级上的复合费米子费米海对波对是不稳定的。模拟计算表明复合费米子在石墨烯朗道能级半填充时存在a波配对的可能性，而在石墨烯和石墨烯朗道能级半填充时没有发现配对不稳定性.这些结果的实验的相关性进行了讨论。
Motivated by the observation of even denominator fractional quantum Hall effect in theLandau level of monolayer graphene [Kimet al., Nat. Phys. 15, 154 (2019)NPAHAX1745-247310.1038/s41567-018-0355-x], 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-wave pairing. Analogous calculation suggests the possibility of a-wave pairing of composite fermions at half filling in thegraphene Landau level, whereas no pairing instability is found at half filling in theandgraphene Landau levels. The relevance of these results to experiments is discussed.