scholarly journals Activation gaps of fractional quantum Hall effect in the second Landau level

2008 ◽  
Vol 77 (8) ◽  
Author(s):  
H. C. Choi ◽  
W. Kang ◽  
S. Das Sarma ◽  
L. N. Pfeiffer ◽  
K. W. West
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level

2018 ◽  
Vol 121 (18) ◽  
Author(s):  
Ajit C. Balram ◽  
Sutirtha Mukherjee ◽  
Kwon Park ◽  
Maissam Barkeshli ◽  
Mark S. Rudner ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Fractional quantum Hall effect at Landau level fillingν=4/11

2015 ◽  
Vol 91 (4) ◽  
Author(s):  
W. Pan ◽  
K. W. Baldwin ◽  
K. W. West ◽  
L. N. Pfeiffer ◽  
D. C. Tsui
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Gapped excitations of unconventional fractional quantum Hall effect states in the second Landau level

2015 ◽  
Vol 92 (24) ◽  
Author(s):  
U. Wurstbauer ◽  
A. L. Levy ◽  
A. Pinczuk ◽  
K. W. West ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Robust fractional quantum Hall effect in the N=2 Landau level in bilayer graphene

2016 ◽  
Vol 7 (1) ◽  
Author(s):  
Georgi Diankov ◽  
Chi-Te Liang ◽  
François Amet ◽  
Patrick Gallagher ◽  
Menyoung Lee ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Bilayer Graphene ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

FRACTIONAL QUANTUM HALL EFFECT: CONSTRUCTION OF THE HARTREE–FOCK STATE BY USING TRANSLATIONAL COVARIANCE

1994 ◽  
Vol 08 (05) ◽  
pp. 529-579 ◽  
Author(s):  
R. FERRARI
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Filling Factor ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Hartree Fock

The formalism introduced in a previous paper is used for discussing the Coulomb interaction of many electrons moving in two space-dimensions in the presence of a strong magnetic field. The matrix element of the Coulomb interaction is evaluated in the new basis, whose states are invariant under discrete translations (up to a gauge transformation). This paper is devoted to the case of low filling factor, thus we limit ourselves to the lowest Landau level and to spins all oriented along the magnetic field. For the case of filling factor νf = 1/u we give an Ansatz on the state of many electrons which provides a good approximated solution of the Hartree–Fock equation. For general filling factor νf = u′/u a trial state is given which converges very rapidly to a solution of the self-consistent equation. We generalize the Hartree–Fock equation by considering some correlation: all quantum states are allowed for the u′ electrons with the same translation quantum numbers. Numerical results are given for the mean energy and the energy bands, for some values of the filling factor (νf = 1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5). Our results agree numerically with the Charge Density Wave approach. The boundary conditions are shown to be very important: only large systems (degeneracy of Landau level over 200) are not affected by the boundaries. Therefore results obtained on small scale systems are somewhat unreliable. The relevance of the results for the Fractional Quantum Hall Effect is briefly discussed.

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