A FIELD THEORY FOR THE READ OPERATOR
1996 ◽
Vol 10
(07)
◽
pp. 793-803
◽
Keyword(s):
We introduce a new field theory for studying quantum Hall systems. The quantum field is a modified version of the bosonic operator introduced by Read. In contrast to Read's original work we do not work in the lowest Landau level alone, and this leads to a much simpler formalism. We identify an appropriate canonical conjugate field, and write a Hamiltonian that governs the exact dynamics of our bosonic field operators. We describe a Lagrangian formalism, derive the equations of motion for the fields and present a family of mean-field solutions. Finally, we show that these mean field solutions are precisely the Laughlin states. We do not, in this work, address the treatment of fluctuations.
Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect
1995 ◽
Vol 93
(3)
◽
pp. 503-518
◽
1996 ◽
Vol 11
(01)
◽
pp. 55-68
◽
Keyword(s):
1991 ◽
Vol 05
(10)
◽
pp. 1715-1724
◽