Landau level mixing and the fractional quantum Hall effect
نویسندگان
چکیده
منابع مشابه
Composite fermions and Landau-level mixing in the fractional quantum Hall effect.
The reduction of the energy gap due to Landau level mixing, characterized by the dimensionless parameter λ = (e/ǫl0)/h̄ωc, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at filling fractions ν = 1/3 and 1/5 using a modified version of Jain’s composite fermion wave functions. These wave functions exploit the Landau level mixing already present in composite f...
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The quantum Hall effect (QHE) is the remarkable observation of quantized transport in two dimensional electron gases placed in a transverse magnetic field: the longitudinal resistance vanishes while the Hall resistance is quantized to a rational multiple of h/e2. The theory of the QHE is built largely around the special properties of single-particle free-electron states in a magnetic field—the ...
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Parsa Bonderson1,2 and J. K. Slingerland2,3,4,5 1Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, California 93106, USA 2California Institute of Technology, Pasadena, California 91125, USA 3Dublin Institute for Advanced Studies, School for Theoretical Physics, 10 Burlington Road, Dublin 4, Ireland 4Department of Mathematical Physics, National University of Ir...
متن کاملLandau-level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect.
We report on exact diagonalization studies for fully spin polarized 5/2 fractional quantum Hall effect, incorporating Landau-level mixing through the Bishara-Nayak effective interaction. We find that there is an experimentally accessible region in the phase diagram where the Pfaffian model accurately describes not only the ground state but also the neutral and charged excitations. These results...
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Kiryl Pakrouski, Michael R. Peterson, Thierry Jolicoeur, Vito W. Scarola, Chetan Nayak, and Matthias Troyer Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland Department of Physics and Astronomy, California State University Long Beach, Long Beach, California 90840, USA Laboratoire de Physique Théorique et Modèles Statistiques, CNRS and Université Paris-Sud, 91405 Orsay, France Department...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2013
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.87.245425