A field theory for the read operator

International Journal of Modern Physics B

Volumn 10, Issue 7, 1996, Pages 793-803

  Rajaraman, R ^a   Sondhi, S L ^b,c  

^a JAWAHARLAL NEHRU UNIVERSITY   (India)

^b University of Illinois at Urbana Champaign   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000838459     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979296000337     Document Type: Article

References (21)

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2. In fact, there is a set of operators, each element of which is long ranged in a different state. For linguistic simplicity we generally refer to all the elements of the set in the singular, e.g. "the bosonic operator" .
3. S. C. Zhang, T. H. Hansson and S. Kivelson, Phys. Rev. Lett. 62, 82, (1989).
4. N. Read, Phys. Rev. Lett. 62, 86 (1989).
5. S. C. Zhang, Int. J. Mod. Phys. B6, 25 (1992).
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7. A. Lopez and E. Fradkin, Phys. Rev. B44, 5246 (1991).
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9. B. I. Halperin, P. A. Lee and N. Read, Phys. Rev. B47, 7312 (1993).
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12. R. B. Laughlin, Phys. Rev. Lett. 50 1395 (1983).
13. The constraint Eq. (2.5) relating Π and Φ does not need to be enforced separately; it is implicit in the equations of motion for the two fields.
14. This conclusion follows as w(x, t) is harmonic and hence does not allow transformations between field configurations with different divergences.
15. S. Iso, D. Karabali and B. Sakita, Phys. Lett. B296, 143 (1992); A. Cappelli, C. A. Trugenberger and G. R. Zemba, Nucl. Phys. B396, 465 (1993).
16. S. Iso, D. Karabali and B. Sakita, Phys. Lett. B296, 143 (1992); A. Cappelli, C. A. Trugenberger and G. R. Zemba, Nucl. Phys. B396, 465 (1993).
17. There is also a related equation for Π.
18. We use the term "mean-field solution" loosely. Evidently, what we present here are solutions to the classical equations of motion.
19. The off-diagonal correlation function is Π (×) Φ (×′') and it is long ranged in the mean field state.
20. Similar issues arise in attempting to treat the v = 1/2 problem in a purely lowest Landau level approach (F. D. M. Haldane, private communication).
21. R. Rajaraman and S. L. Sondhi (work in progress).