scholarly journals Interference effects in transport across a single incompressible strip at the edge of the fractional quantum Hall system

2009 ◽  
Vol 79 (12) ◽  
Author(s):  
E. V. Deviatov ◽  
B. Marquardt ◽  
A. Lorke ◽  
G. Biasiol ◽  
L. Sorba
Keyword(s):  
Quantum Hall ◽  
Interference Effects ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall System

scholarly journals Measurement of the specific heat of a fractional quantum Hall system

2007 ◽  
Vol 76 (15) ◽  
Author(s):  
F. Schulze-Wischeler ◽  
U. Zeitler ◽  
C. v. Zobeltitz ◽  
F. Hohls ◽  
D. Reuter ◽  
...  
Keyword(s):  
Specific Heat ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall System

scholarly journals A FAMILY OF NONCOMMUTATIVE GEOMETRIES

2011 ◽  
Vol 26 (29) ◽  
pp. 2213-2221 ◽  
Author(s):  
DEBABRATA SINHA ◽  
PULAK RANJAN GIRI
Keyword(s):  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
The Self ◽  
Filling Fraction ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Adjoint Extension ◽  
Quantum Hall System ◽  
Extension Parameter

It is shown that the noncommutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of noncommutative geometry labeled by the self-adjoint extension parameters. We explicitly perform an exact calculation using a singular interaction and show that, when projected to a certain Landau level, the emergent noncommutative geometries of the projected coordinates belong to a one-parameter family. There is a possibility of obtaining the filling fraction of fractional quantum Hall effect by suitably choosing the value of the self-adjoint extension parameter.

scholarly journals Topological excitation in the fractional quantum Hall system

2001 ◽  
Vol 291 (4-5) ◽  
pp. 296-300 ◽  
Author(s):  
Yi-shi Duan ◽  
Peng-ming Zhang ◽  
Hong Zhang
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Topological Excitation ◽  
Quantum Hall System

scholarly journals On the Constraint Equation for the Lowest Landau Level in Fractional Quantum Hall System

1991 ◽  
Vol 05 (10) ◽  
pp. 1715-1724 ◽  
Author(s):  
Dong-Ning Sheng ◽  
Zhao-Bin Su ◽  
B. Sakita
Keyword(s):  
Field Theory ◽  
Landau Level ◽  
Quantum Hall ◽  
Constraint Equation ◽  
Wave Functions ◽  
Generic Properties ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Lowest Landau Level ◽  
Quantum Hall System

In the framework of collective field theory, We apply the Chern-Simon field theory treatment to the constraint equation for the lowest Landau level to investigate the generic properties for the quasi-particles of the FQH system. It shows a transparent connection to the Laughlin's wave functions. If we take an average over the wave functional for the constraint equation, the resulted equation can be interpreted as the vortex equation for the fractionally charged quasi-particles. Introducing a generalized ρ (density)-ϑ (phase) transformation, not only the fractional statistics and the hierarchy scheme can be drawn from the constraint equation, it also gives rise an interesting picture that vortices condense as a Halperin like wave fuction on a Laughlin like background condensate of ν=1/m.

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