scholarly journals Effective field theory of relativistic quantum hall systems

2014 ◽  
Vol 2014 (12) ◽  
Author(s):  
Siavash Golkar ◽  
Matthew M. Roberts ◽  
Dam Thanh Son
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Relativistic Quantum ◽  
Quantum Hall ◽  
Effective Field ◽  
Quantum Hall Systems

scholarly journals A Chern-Simons effective field theory for the Pfaffian quantum Hall state

1998 ◽  
Vol 516 (3) ◽  
pp. 704-718 ◽  
Author(s):  
Eduardo Fradkin ◽  
Chetan Nayak ◽  
Alexei Tsvelik ◽  
Frank Wilczek
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Quantum Hall ◽  
Effective Field ◽  
Chern Simons ◽  
Quantum Hall State

EFFECTIVE FIELD THEORY OF SINGLE AND MULTILAYERED QUANTUM HALL FLUIDS

1994 ◽  
Vol 08 (10) ◽  
pp. 1375-1390
Author(s):  
MICHAEL R. GELLER
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Quantum Hall ◽  
Complete Classification ◽  
Effective Field ◽  
Gauge Fields ◽  
Current Conservation ◽  
Two Component ◽  
Multiple Component ◽  
Chern Simons

We review an effective field theory of the quantum Hall fluid, where electron currents are expressed in terms of multiple-component gauge fields, and develop further the case of two-component fields. The form of the effective action, a simple matrix Chern-Simons action, is dictated by the principles of current conservation, dimensional analysis, gauge invariance, and by the presence of a gap. The formalism naturally describes multiple-component systems such as coupled Hall fluids in layered geometries, in addition to describing more complicated single-fluid states. We provide a complete classification of fractional quantum Hall states describable by two-component Chern-Simons gauge fields.

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