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The fractional quantum Hall effect [PDF]
Proceedings of the National Academy of Sciences, 1986 A review is given of the fractional quantum Hall effect with the emphasis placed on the basic experimental facts. Only a superficial description is made of the current theoretical understanding.
D. C. Tsui, H. L. Stormer
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Quantum Hall effect: from the drude conductivity model to the Chern-Simons field description
Revista Brasileira de Ensino de Física, 2023 The goal of this article is to introduce the quantum Hall effect (QHE) from its classical roots to the quantum integer and fractional versions. This is a robust phenomenon with topological nature.
G. B. de Gracia, B.M. Pimentel
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Nuclear Physics B, 2021 Anyon is collective excitation of two dimensional electron gas subjected to strong magnetic field, carrying fractional charges and exotic statistical character beyond fermion and boson.
Tieyan Si
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Fractional transconductance via nonadiabatic topological Cooper pair pumping
Physical Review Research, 2023 Many robust physical phenomena in quantum physics are based on topological invariants arising due to intriguing geometrical properties of quantum states.
Hannes Weisbrich +3 more
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Fractional quantum Hall effect on a lattice [PDF]
Physical Review B, 1995 11 pages, Latex, 3 compressed and uuencoded postscript figures appended, FFA-94 ...
Fakher F. Assaad, S. Biskamp
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Dirac fermion spectrum of the fractional quantum Hall states
Condensed Matter Physics, 2023 Applying a unified approach, we study the integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) in the Hofstadter model with short range interactions between fermions.
I. N. Karnaukhov
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Duality and the fractional quantum Hall effect [PDF]
Nuclear Physics B, 1995 The edge states of a sample displaying the quantum Hall effect (QHE) can be described by a 1+1 dimensional (conformal) field theory of $d$ massless scalar fields taking values on a $d$-dimensional torus. It is known from the work of Naculich, Frohlich et al.\@ and others that the requirement of chirality of currents in this \underline{scalar} field ...
A. P. Balachandran +2 more
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Quantum skyrmion Hall effect in f-electron systems
Physical Review Research, 2023 The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.
Robert Peters +2 more
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Fractional quantum Hall effect in graphene [PDF]
Physical Review B, 2006 4 pages, 1 ...
Jainendra K. Jain +3 more
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Skyrmions in the fractional quantum Hall effect [PDF]
Solid State Communications, 1996 13 pages including 2 postscript figures; accepted for publication in Solid State Communications (1996)
Jainendra K. Jain, X.G. Wu, R.K. Kamilla
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