publication . Article . Preprint . 1994

W(infinity) algebras in the quantum Hall effect

Karabali, Dimitra;
Open Access
  • Published: 09 May 1994 Journal: Nuclear Physics B, volume 428, pages 531-544 (issn: 0550-3213, Copyright policy)
  • Publisher: Elsevier BV
Abstract
We show that a large class of incompressible quantum Hall states correspond to different representations of the \Winf algebra by explicit construction of the second quantized generators of the algebra in terms of fermion and vortex operators. These are parametrized by a set of integers which are related to the filling fraction. The class of states we consider includes multilayer Hall states and the states proposed by Jain to explain the hierarchical filling fractions. The corresponding second quantized order parameters are also given.
Subjects
arXiv: Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
free text keywords: Nuclear and High Energy Physics, Hall effect, Quantum mechanics, Hamiltonian formalism, Operator algebra, Infinity, media_common.quotation_subject, media_common, Quantum Hall effect, Physics, Phase space, Quantum electrodynamics, High Energy Physics - Theory, Condensed Matter

[1] R.E. Prange and S.M. Girvin, “The Quantum Hall Effect”, Springer, New York, 1990.

[2] M. Stone, “Quantum Hall Effect”, World Scientific, 1992.

[3] S. Iso, D. Karabali and B. Sakita, Phys. Lett. B296 (1992) 143.

[4] A. Capelli, C. Trugenberger and G. Zemba, Nucl. Phys. B396 (1993) 465.

[5] R.B. Laughlin in ref.[1]; Phys. Rev. Lett. 50 (1983) 1395.

[6] F.D.M. Haldane in ref. [1].

[7] F.D.M. Haldane, Phys. Rev. Lett. 51 (1983) 605; B.I. Halperin, Phys. Rev. Lett. 52 (1984) 1583.

[8] J.K. Jain, Phys. Rev. Lett. 63 (1989) 199; Phys. Rev. B40 (1989) 8079; Phys. Rev. B41 (1990) 8449.

[9] M. Flohr and R. Varnhagen, BONN-HE-93-29 preprint, hep-th/9309083.

[10] D. Karabali, SU-4240-553 preprint, cond-mat/9309050, to appear in Nucl. Phys. B.

[11] A. Cappelli, C. Trugenberger and G. Zemba, Phys. Rev. Lett. 72 (1994) 1902.

[12] B. Sakita in Proceedings, 16th Taniguchi Int. Symposium on the theory of condensed

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . Preprint . 1994

W(infinity) algebras in the quantum Hall effect

Karabali, Dimitra;