scholarly journals Tomonaga-Luttinger model and the Chern-Simons theory for the edges of multilayer fractional quantum Hall systems

2007 ◽  
Vol 75 (3) ◽  
Author(s):  
D. Orgad
Keyword(s):  
Quantum Hall ◽  
Simons Theory ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Luttinger Model ◽  
Quantum Hall Systems ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals HIERARCHICAL WAVE FUNCTIONS OF FRACTIONAL QUANTUM HALL EFFECT ON THE TORUS

1993 ◽  
Vol 07 (14) ◽  
pp. 2655-2665 ◽  
Author(s):  
DINGPING LI
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Wave Functions ◽  
Simons Theory ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Chern Simons ◽  
Chern Simons Theory

One kind of hierarchical wave functions of Fractional Quantum Hall Effect on the torus is constructed. We find that the wave functions are closely related to the wave functions of generalized Abelian Chern-Simons theory.

scholarly journals CHERN–SIMONS THEORY OF FRACTIONAL QUANTUM HALL EFFECT IN (PSEUDO) MASSLESS DIRAC ELECTRONS

2011 ◽  
Vol 25 (20) ◽  
pp. 2779-2785
Author(s):  
HUABI ZENG
Keyword(s):  
Quantum Hall ◽  
Effective Field ◽  
Simons Theory ◽  
Arbitrary Integer ◽  
Fractional Quantum ◽  
Hall Conductance ◽  
Fractional Quantum Hall ◽  
Topological Excitations ◽  
Chern Simons ◽  
Chern Simons Theory

We derive the effective-field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be σxy=e2/h(2k-1) where k is arbitrary integer. There are also topological excitations which have fractional charge and obey fractional statistics.

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