scholarly journals Composite fermion Hall conductivity and the half-filled Landau level

2019 ◽  
Vol 99 (23) ◽  
Author(s):  
Prashant Kumar ◽  
S. Raghu ◽  
Michael Mulligan
Keyword(s):  
Landau Level ◽  
Hall Conductivity ◽  
Composite Fermion

scholarly journals Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level

1997 ◽  
Vol 11 (22) ◽  
pp. 2621-2660 ◽  
Author(s):  
J. K. Jain ◽  
R. K. Kamilla
Keyword(s):  
Landau Level ◽  
Ground State ◽  
Quantum Hall ◽  
Monte Carlo Study ◽  
Composite Fermions ◽  
Composite Fermion ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Lowest Landau Level ◽  
Standard Manner

Single particle basis functions for composite fermions are obtained from which many-composite fermion states confined to the lowest electronic Landau level can be constructed in the standard manner, i.e. by building Slater determinants. This representation enables a Monte Carlo study of systems containing a large number of composite fermions, yielding new quantitative and qualitative information. The ground state energy and the gaps to charged and neutral excitations are computed for a number of fractional quantum Hall effect (FQHE) states, earlier off-limits to a quantitative investigation. The ground state energies are estimated to be accurate to ~0.1% and the gaps at the level of a few percent. It is also shown that at Landau level fillings smaller than or equal to 1/9 the FQHE is unstable to a spontaneous creation of excitons of composite fermions. In addition, this approach provides new conceptual insight into the structure of the composite fermion wave functions, resolving in the affirmative the question of whether it is possible to motivate the composite fermion theory entirely within the lowest Landau level, without appealing to higher Landau levels.

scholarly journals Composite fermion liquid to Wigner solid transition in the lowest Landau level of zinc oxide

2018 ◽  
Vol 9 (1) ◽  
Author(s):  
D. Maryenko ◽  
A. McCollam ◽  
J. Falson ◽  
Y. Kozuka ◽  
J. Bruin ◽  
...  
Keyword(s):  
Zinc Oxide ◽  
Landau Level ◽  
Composite Fermion ◽  
Wigner Solid ◽  
Lowest Landau Level

Drastic Enhancement of Composite Fermion Mass near Landau Level Fillingν=12

1994 ◽  
Vol 73 (24) ◽  
pp. 3274-3277 ◽  
Author(s):  
R. R. Du ◽  
H. L. Stormer ◽  
D. C. Tsui ◽  
A. S. Yeh ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Landau Level ◽  
Fermion Mass ◽  
Composite Fermion

scholarly journals Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level

Nature ◽  
2017 ◽  
Vol 549 (7672) ◽  
pp. 360-364 ◽  
Author(s):  
A. A. Zibrov ◽  
C. Kometter ◽  
H. Zhou ◽  
E. M. Spanton ◽  
T. Taniguchi ◽  
...  
Keyword(s):  
Landau Level ◽  
Bilayer Graphene ◽  
Composite Fermion

scholarly journals Limits of Applicability of the Composite Fermion Model

Materials ◽  
2021 ◽  
Vol 14 (15) ◽  
pp. 4267
Author(s):  
Janusz E. Jacak
Keyword(s):  
Landau Level ◽  
Landau Levels ◽  
Graphene Monolayer ◽  
Composite Fermions ◽  
Composite Fermion ◽  
Topological Methods ◽  
Fermion Model ◽  
Lowest Landau Level ◽  
Further Development

The popular model of composite fermions, proposed in order to rationalize FQHE, were insufficient in view of recent experimental observations in graphene monolayer and bilayer, in higher Landau levels in GaAs and in so-called enigmatic FQHE states in the lowest Landau level of GaAs. The specific FQHE hierarchy in double Hall systems of GaAs 2DES and graphene also cannot be explained in the framework of composite fermions. We identify the limits of the usability of the composite fermion model by means of topological methods, which elucidate the phenomenological assumptions in composite fermion structure and admit further development of FQHE understanding. We demonstrate how to generalize these ideas in order to explain experimentally observed FQHE phenomena, going beyond the explanation ability of the conventional composite fermion model.

THE EFFECT OF kHBROADENING ON SURFACE LANDAU LEVEL RESONANCES

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-1135-C6-1137 ◽  
Author(s):  
R. A. Gordon ◽  
J. B. Frandsen
Keyword(s):  
Landau Level
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