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Hierarchy of fillings for the FQHE in monolayer graphene.

ABSTRACT: In this paper, the commensurability conditions, which originated from the unique topology of two-dimensional systems, are applied to determine the quantum Hall effect hierarchy in the case of a monolayer graphene. The fundamental difference in a definition of a typical semiconductor and a monolayer graphene filling factor is pointed out. The calculations are undertaken for all spin-valley branches of two lowest Landau levels, since only they are currently experimentally accessible. The obtained filling factors are compared with the experimental data and a very good agreement is achieved. The work also introduces a concept of the single-loop fractional quantum Hall effect.

SUBMITTER: Lydzba P

PROVIDER: S-EPMC4585763 | biostudies-literature | 2015 Sep

REPOSITORIES: biostudies-literature

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Hierarchy of fillings for the FQHE in monolayer graphene.

Łydżba Patrycja P Jacak Lucjan L Jacak Janusz J

Scientific reports 20150922

In this paper, the commensurability conditions, which originated from the unique topology of two-dimensional systems, are applied to determine the quantum Hall effect hierarchy in the case of a monolayer graphene. The fundamental difference in a definition of a typical semiconductor and a monolayer graphene filling factor is pointed out. The calculations are undertaken for all spin-valley branches of two lowest Landau levels, since only they are currently experimentally accessible. The obtained ...[more]

PMID: 26392385

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