Abstract
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.
Original language | English (US) |
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Pages (from-to) | 793-803 |
Number of pages | 11 |
Journal | International Journal of Modern Physics B |
Volume | 10 |
Issue number | 7 |
DOIs | |
State | Published - Mar 30 1996 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Condensed Matter Physics