Composite fermions in a wide quantum well in the vicinity of the filling factor 1/2

POSSIBLE NEW PHASES OF COMPOSITE FERMIONS

International Journal of Modern Physics B ◽

10.1142/s0217979202013262 ◽

2002 ◽

Vol 16 (20n22) ◽

pp. 2946-2951

Author(s):

V. W. SCAROLA ◽

S. Y. LEE ◽

J. K. JAIN

Keyword(s):

Ground State ◽

Filling Factor ◽

Residual Interaction ◽

Composite Fermions ◽

Composite Fermion ◽

New States

When the effective filling factor of composite fermions is an integer, the residual interaction between them can often be neglected because the ground state of the non-interacting model is unique and incompressible. However, at non-integer composite fermion (CF) filling factors the ground state of composite fermions is enormously degenerate if the interaction between them is neglected, and consideration of the inter composite fermion interaction is necessary for determining the true ground state. In this article, we summarize certain results regarding what new states the inter composite fermion interaction can possibly produce. More details can be found in Refs. [11] and [12].

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Ground states of interacting composite fermions with spin at total filling factor one

Physical Review B ◽

10.1103/physrevb.71.155307 ◽

2005 ◽

Vol 71 (15) ◽

Cited By ~ 4

Author(s):

Matteo Merlo ◽

Nicodemo Magnoli ◽

Maura Sassetti ◽

Bernhard Kramer

Keyword(s):

Filling Factor ◽

Ground States ◽

Composite Fermions

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Search for composite fermions at filling factor 5/2: Role of Landau level and subband index

Physical Review B ◽

10.1103/physrevb.95.165438 ◽

2017 ◽

Vol 95 (16) ◽

Cited By ~ 2

Author(s):

M. A. Mueed ◽

D. Kamburov ◽

Md. Shafayat Hossain ◽

L. N. Pfeiffer ◽

K. W. West ◽

...

Keyword(s):

Landau Level ◽

Filling Factor ◽

Composite Fermions

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SPIN RESOLVED SUBBAND-LANDAU-LEVEL COUPLING AND ELECTRON-HOLE COUPLING IN InAs/AlGaSbAs QUANTUM WELL

International Journal of Modern Physics B ◽

10.1142/s0217979209062529 ◽

2009 ◽

Vol 23 (12n13) ◽

pp. 2905-2909

Author(s):

TAKAHIDE YOSHIDA ◽

KENICHI OTO ◽

SHUICHI ISHIDA ◽

HIROTAKA GEKA ◽

ICHIRO SHIBASAKI

Keyword(s):

Magnetic Fields ◽

Quantum Well ◽

Hall Effect ◽

Transport Properties ◽

Landau Level ◽

Filling Factor ◽

Lattice Mismatch ◽

High Magnetic Fields ◽

Electron Hole ◽

Magneto Resistance

We have investigated the magneto-transport properties in InAs / AlGaSbAs quantum well (QW), where the lattice mismatch is less than 0.5%. In tilted magnetic fields, the spin-resolved subband-Landau-level coupling has been clearly observed in the magneto-resistance due to the large g -factor of this QW. An anomaly in the Hall effect has been observed at high magnetic fields of the filling factor being less than unity, which is caused by the coexistence of electrons and holes in the system.

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Noncommutativity Parameter and Composite Fermions

Modern Physics Letters A ◽

10.1142/s0217732303011393 ◽

2003 ◽

Vol 18 (21) ◽

pp. 1473-1484 ◽

Cited By ~ 4

Author(s):

Ahmed Jellal

Keyword(s):

Quantum Hall Effect ◽

Filling Factor ◽

Quantum Hall ◽

Fractional Quantum Hall Effect ◽

The Other ◽

Composite Fermions ◽

Composite Fermion ◽

Fractional Quantum ◽

Fractional Quantum Hall ◽

Magnetic Length

We determine some particular values of the noncommutativity parameter θ and show that the Murthy–Shankar approach is in fact a particular case of a more general one. Indeed, using the fractional quantum Hall effect (FQHE) experimental data, we give a measurement of θ. This measurement can be obtained by considering some values of the filling factor ν and other ingredients, magnetic field B and electron density ρ. Moreover, it is found that θ can be quantized either fractionally or integrally in terms of the magnetic length l0 and the quantization is exactly what Murthy and Shankar formulated recently for the FQHE. On the other hand, we show that the mapping of the FQHE in terms of the composite fermion basis has a noncommutative geometry nature and therefore there is a more general way than the Murthy–Shankar method to do this mapping.

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