Fractional Quantum Hall States with Non-Abelian Statistics

• Authors: G. Möller , A. Wójs , N. Cooper
• Languages of publication: EN

Abstracts

EN

Using exact numerical diagonalization we have studied correlated many-electron ground states in a partially filled second Landau level. We consider filling fractions ν = 1/2 and 2/5, for which incompressible quantum liquids with non-Abelian anion statistics have been proposed. Our calculations include finite layer width, Landau level mixing and arbitrary deformation of the interaction pseudopotential. Computed energies, gaps, and correlation functions support the non-Abelian ground states at both ν = 1/2 ("Pfaffian") and ν = 2/5 ("parafermion" state).

Keywords

EN

73.43.-f; 71.10.Pm

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: 2009
• Volume: 116
• Issue: 5
• Pages: 847-848

Dates

published

2009-11

Contributors

author

G. Möller

• TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge, UK

author

A. Wójs

• TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge, UK
• Institute of Physics, Wrocław University of Technology, Wrocław, Poland

author

N. Cooper

• TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge, UK

References

• 1. C.R. Dean, B.A. Piot, P. Hayden, S. Das Sarma, G. Gervais, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 100, 146803 (2008)
• 2. C. Nayak, S.H. Simon, A. Stern, M. Freedman, S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008)
• 3. A.Yu. Kitaev, Ann. Phys. (New York) 303, 1 (2003)
• 4. G. Moore, N. Read, Nucl. Phys. B 360, 362 (1991)
• 5. G. Möller, S.H. Simon, Phys. Rev. B 77, 075319 (2008)
• 6. N. Read, E. Rezayi, Phys. Rev. B 59, 8084 (1999)
• 7. P. Bonderson, J.K. Slingerland, Phys. Rev. B 78, 125323 (2008)
• 8. R.H. Morf, Phys. Rev. Lett. 80, 1505 (1998)

Identifiers

DOI

10.12693/APhysPolA.116.847