Mean field kinetic theory of a classical electron gas in a periodic potential. II. Qualitative analysis of the mean-field solution in one dimension

1987 ◽  
Vol 49 (3-4) ◽  
pp. 685-724 ◽  
Author(s):  
Angel Alastuey
Keyword(s):  
Kinetic Theory ◽  
Qualitative Analysis ◽  
Periodic Potential ◽  
Electron Gas ◽  
Mean Field ◽  
One Dimension ◽  
Classical Electron ◽  
Field Solution ◽  
The Mean ◽  
Classical Electron Gas

Pressure of the classical electron gas

1969 ◽  
Vol 30 (6) ◽  
pp. 337-338 ◽  
Author(s):  
F. Del Rio ◽  
H.E. Dewitt
Keyword(s):  
Electron Gas ◽  
Classical Electron ◽  
Classical Electron Gas

scholarly journals BOSONIC CHERN-SIMONS FIELD THEORY OF ANYON SUPERCONDUCTIVITY

1992 ◽  
Vol 07 (28) ◽  
pp. 2627-2636
Author(s):  
NATHAN WEISS
Keyword(s):  
Field Theory ◽  
Particle Density ◽  
Equations Of Motion ◽  
Mean Field ◽  
Meissner Effect ◽  
Quantum Corrections ◽  
Simple Explanation ◽  
Field Solution ◽  
The Mean ◽  
Chern Simons

We study the quantum field theory of non-relativistic bosons coupled to a Chern-Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as bosons with a statistical interaction. We show that it is possible to find a mean field solution to the equations of motion for this system which has some of the features of Bose condensation. The mean field solution consists of a lattice of vortices each carrying a single quantum of statistical magnetic flux. We speculate on the effects of the quantum corrections to this mean field solution. We argue that the mean field solution is only stable under quantum corrections if the Chern-Simons coefficient N=2πθ/g2 is an integer. Consequences for anyon superconductivity are presented. A simple explanation for the Meissner effect in this system is discussed.

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