A FIELD-THEORY FOR THE READ OPERATOR

Citation
R. Rajaraman et Sl. Sondhi, A FIELD-THEORY FOR THE READ OPERATOR, International journal of modern physics b, 10(7), 1996, pp. 793-803
Citations number
15
Categorie Soggetti
Physics, Condensed Matter","Physycs, Mathematical","Physics, Applied
ISSN journal
02179792
Volume
10
Issue
7
Year of publication
1996
Pages
793 - 803
Database
ISI
SICI code
0217-9792(1996)10:7<793:AFFTRO>2.0.ZU;2-N
Abstract
We introduce a new field theory for studying quantum Hall systems. The quantum field is a modified version of the bosonic operator introduce d by Read. In contrast to Read's original work we do not work in the l owest Landau level alone, and this leads to a much simpler formalism. We identify an appropriate canonical conjugate field, and write a Hami ltonian that governs the exact dynamics of our bosonic field operators . We describe a Lagrangian formalism, derive the equations of motion f or the fields and present a family of mean-field solutions. Finally, w e show that these mean field solutions are precisely the Laughlin stat es. We do not, in this work, address the treatment of fluctuations.