Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene

被引:20
作者
Balram, Ajit C. [1 ,2 ]
机构
[1] Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
[2] Homi Bhabha Natl Inst, Training Sch Complex, Mumbai 400094, Maharashtra, India
关键词
INCOMPRESSIBLE STATES; QUANTIZATION; SYMMETRIES; NUMBERS; FLUID; MODES;
D O I
10.1103/PhysRevB.105.L121406
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The electron-electron interaction in the Landau levels of bilayer graphene is markedly different from that of conventional semiconductors such as GaAs. We show that in the zeroth Landau level of bilayer graphene, in the orbital which is dominated by the nonrelativistic second Landau level wave function, by tuning the magnetic field, a topological quantum phase transition from an Abelian composite fermion to a non-Abelian parton fractional quantum Hall state can be induced at filling factors 1/2, 2/5, and 3/7. The parton states host exotic anyons that can potentially be utilized to store and process quantum information. Intriguingly, some of these transitions may have been observed in a recent experiment (K. Huang et al., arXiv:2105.07058).
引用
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页数:6
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