Excitations of the Moore-Readν=5/2 State: Three-Body Correlations and Finite-Size Effects on a Sphere

• Authors: A. Wόjs , J. Quinn
• Languages of publication: EN

Abstracts

EN

Correlations in partially filled electron and composite fermion Landau levels are studied numerically. Insight into the nature of the correlations is obtained by using model pair pseudopotentials. Energy spectra of a model short-range three-body repulsion are calculated. Moore-Read ground state at the half-filling and its quasielectron, quasihole, magnetoroton, and pair-breaking excitations are all identified. The quasielectron/quasihole excitations are described by a composite fermion model for Laughlin-correlated electron pairs. Comparison of energy spectra and wavefunction overlaps obtained for different pseudopotentials suggests that finite-size effects can be important in numerical diagonalization studies on a sphere.

Keywords

EN

71.10.Pm; 73.43.-f

Discipline

• 73.43.-f: Quantum Hall effects
• 71.10.Pm: Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)(for anyon mechanism in superconductors, see 74.20.Mn)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2004
• Volume: 105
• Issue: 6
• Pages: 575-584

Dates

published

2004-06

received

2004-05-28

Contributors

author

A. Wόjs

• University of Tennessee, Knoxville, Tennessee 37996, USA

author

J. Quinn

• Wroclaw University of Technology, 50-370 Wrocław, Poland

References

• 1. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)
• 2. F.D.M. Haldane, Phys. Rev. Lett. 51, 605 (1983)
• 3. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989)
• 4. R. Willett, J.P. Eisenstein, H.L. Störmer, D.C. Tsui, A.C. Gossard, J.H. English, Phys. Rev. Lett. 59, 1776 (1987)
• 5. W. Pan, H.L. Störmer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 90, 016801 (2003)
• 6. F.D.M. Haldane, in: The Quantum Hall Effect, Eds. R.E. Prange, S.M. Girvin, Springer-Verlag, New York 1987, p. 175
• 7. A. Wójs, J.J. Quinn, Philos. Mag. B 80, 1405 (2000)
• 8. B.I. Halperin, Helv. Phys. Acta 56, 75 (1983)
• 9. F.D.M. Haldane, E.H. Rezayi, Phys. Rev. Lett. 60, 956 (1988)
• 10. G. Moore, N. Read, Nucl. Phys. B 360, 362 (1991)
• 11. M. Greiter, X.-G. Wen, F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); Nucl. Phys. B 374, 567 (1992)
• 12. X.-G. Wen, Phys. Rev. Lett. 70, 355 (1993)
• 13. N. Read, E. Rezayi, Phys. Rev. B 54, 16864 (1996)
• 14. R.H. Morf, Phys. Rev. Lett. 80, 1505 (1998); E.H. Rezayi, F.D.M. Haldane, ibid. 84, 4685 (2000)
• 15. A. Wójs, K.-S. Yi, J.J. Quinn, cond-mat/0312290; J.J. Quinn, A. Wójs, K.-S. Yi, Solid State Commun. 130, 165 (2004)
• 16. A. Wójs, J.J. Quinn, Phys. Rev. B 61, 2846 (2000)
• 17. A. Wójs, Phys. Rev. B 63, 125312 (2001)
• 18. S.-Y. Lee, V.W. Scarola, J.K. Jain, Phys. Rev. Lett. 87, 256803 (2001)
• 19. A. Wójs, J.J. Quinn, to be published

Identifiers

DOI

10.12693/APhysPolA.105.575