TY - JOUR
T1 - Composite fermion theory of exotic fractional quantum hall effect
AU - Jain, Jainendra K.
N1 - Publisher Copyright:
© 2015 by Annual Reviews.
PY - 2015/3/10
Y1 - 2015/3/10
N2 - The fractional quantum Hall effect (FQHE) arises from strong correlations between electrons when they are confined to two dimensions and exposed to a strong magnetic field. The underlying physics is the formation of topological particles called composite fermions (CFs), electron-vortex bound states whose integer quantum Hall effect explains a large majority of the observed FQHE states. In recent years, the focus has shifted to the more exotic states that originate from a weak residual interaction between composite fermions. These include chiral p-wave paired states of composite fermions at certain even denominator fractions, unconventional FQHE of composite fermions, and a series of CF crystals at low fillings. Aside from these states, we also review the FQHE in multicomponent systems, which has attracted renewed attention because of the observation of well-developed FQHE in several multivalley systems, such as graphene and AlAs quantum wells.
AB - The fractional quantum Hall effect (FQHE) arises from strong correlations between electrons when they are confined to two dimensions and exposed to a strong magnetic field. The underlying physics is the formation of topological particles called composite fermions (CFs), electron-vortex bound states whose integer quantum Hall effect explains a large majority of the observed FQHE states. In recent years, the focus has shifted to the more exotic states that originate from a weak residual interaction between composite fermions. These include chiral p-wave paired states of composite fermions at certain even denominator fractions, unconventional FQHE of composite fermions, and a series of CF crystals at low fillings. Aside from these states, we also review the FQHE in multicomponent systems, which has attracted renewed attention because of the observation of well-developed FQHE in several multivalley systems, such as graphene and AlAs quantum wells.
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U2 - 10.1146/annurev-conmatphys-031214-014606
DO - 10.1146/annurev-conmatphys-031214-014606
M3 - Article
AN - SCOPUS:84924361478
SN - 1947-5454
VL - 6
SP - 39
EP - 62
JO - Annual Review of Condensed Matter Physics
JF - Annual Review of Condensed Matter Physics
IS - 1
ER -