scholarly journals Particle-flux separation in Chern-Simons theory and the Landau-level gap of composite fermions

1995 ◽  
Vol 52 (14) ◽  
pp. 10547-10560 ◽  
Author(s):  
Ikuo Ichinose ◽  
Tetsuo Matsui ◽  
Masaru Onoda
Keyword(s):  
Landau Level ◽  
Particle Flux ◽  
Simons Theory ◽  
Composite Fermions ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals SINGLE-MODE APPROXIMATION AND EFFECTIVE CHERN–SIMONS THEORIES FOR QUANTUM HALL SYSTEMS

2003 ◽  
Vol 17 (31n32) ◽  
pp. 5875-5891 ◽  
Author(s):  
K. SHIZUYA
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Single Mode ◽  
Collective Excitations ◽  
Effective Theory ◽  
Simons Theory ◽  
Quantum Hall Systems ◽  
Single Mode Approximation ◽  
Chern Simons ◽  
Chern Simons Theory

A unified description of elementary and collective excitations in quantum Hall systems is presented within the single-mode approximation (SMA) framework, with emphasis on revealing an intimate link with Chern–Simons theories. It is shown that for a wide class of quantum Hall systems the SMA in general yields, as an effective theory, a variant of the bosonic Chern–Simons theory. For single-layer systems the effective theory agrees with the standard Chern–Simons theory at long wavelengths whereas substantial deviations arise for collective excitations in bilayer systems. It is suggested, in particular, that Hall-drag experiments would be a good place to detect out-of-phase collective excitations inherent to bilayer systems. It is also shown that the intra-Landau-level modes bear a similarity in structure (though not in scale) to the inter-Landau-level modes, and its implications on the composite-fermion and composite-boson theories are discussed.

scholarly journals GEOMETRIC TRANSFORMATIONS AND NCCS THEORY IN THE LOWEST LANDAU LEVEL

2002 ◽  
Vol 16 (25) ◽  
pp. 3725-3736 ◽  
Author(s):  
M. ELIASHVILI ◽  
G. TSITSISHVILI
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Simons Theory ◽  
Composite Fermions ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Geometric Transformations ◽  
Lowest Landau Level ◽  
Chern Simons ◽  
Area Preserving

Chern-Simons type gauge field is generated by the means of singular area preserving transformations in the lowest Landau level of electrons forming fractional quantum Hall state. Dynamics is governed by the system of constraints which correspond to the Gauss law in the non-commutative Chern-Simons gauge theory and to the lowest Landau level condition in the picture of composite fermions. Physically reasonable solution to this constraints corresponds to the Laughlin state. It is argued that the model leads to the non-commutative Chern-Simons theory of the QHE and composite fermions.

scholarly journals CHERN–SIMONS THEORY AND QUANTUM FIELDS IN THE LOWEST LANDAU LEVEL

2000 ◽  
Vol 14 (14) ◽  
pp. 1429-1439
Author(s):  
M. ELIASHVILI ◽  
G. TSITSISHVILI
Keyword(s):  
Landau Level ◽  
Matter Field ◽  
Simons Theory ◽  
Gauge Fields ◽  
Geometric Transformations ◽  
Lowest Landau Level ◽  
Laughlin Wave Function ◽  
Chern Simons ◽  
Area Preserving ◽  
Chern Simons Theory

By considering the area preserving geometric transformations in the configuration space of electrons moving in the lowest Landau level (LLL) we arrive at the Chern–Simons type Lagrangian. Imposing the LLL condition, we get a scheme with the complex gauge fields and transformations. Quantum theory for the matter field in LLL is considered and formal expressions for Read's operator and Laughlin wave function are presented in the second quantized form.

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory
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