Composite Fermion Dynamics in Half-Filled Landau Levels of Graphene

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

Abstracts

EN

We report on exact-diagonalization studies of correlated many-electron states in the half-filled Landau levels of graphene, including pseudospin (valley) degeneracy. We demonstrate that the polarized Fermi sea of non-interacting composite fermions remains stable against a pairing transition in the lowest two Landau levels. However, it undergoes spontaneous depolarization, which is unprotected owing to the lack of single-particle pseudospin splitting. These results suggest the absence of the Pfaffian phase in graphene.

Keywords

EN

71.10.Pm; 73.22.Pr; 73.43.Cd

Discipline

• 73.22.Pr: Electronic structure of graphene
• 71.10.Pm: Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)(for anyon mechanism in superconductors, see 74.20.Mn)
• 73.43.Cd: Theory and modeling

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 5
• Pages: 592-594

Dates

published

2011-05

Contributors

author

A. Wójs

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

author

G. Möller

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

author

N. Cooper

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

References

• 1. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989)
• 2. G. Moore, N. Read, Nucl. Phys. B 360, 362 (1991)
• 3. C. Nayak, F. Wilczek, Nucl. Phys. B 479, 529 (1996)
• 4. C. Nayak, S.H. Simon, A. Stern, M. Freedman, S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008)
• 5. R.H. Morf, Phys. Rev. Lett. 80, 1505 (1998); E.H. Rezayi, F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); G. Möller, S.H. Simon, Phys. Rev. B 77, 075319 (2008); A. Wójs, Phys. Rev. B 78, 041104(R) (2008); M. Storni, R.H. Morf, S. Das Sarma, Phys. Rev. Lett. 104, 076803 (2010); A. Wójs, G. Möller, S.H. Simon, N.R. Cooper, Phys. Rev. Lett. 104, 086801 (2010)
• 6. R.L. Willett, J.P. Eisenstein, H.L. Störmer, D.C. Tsui, A.C. Gossard, J.H. English, Phys. Rev. Lett. 59, 1776 (1987)
• 7. 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)
• 8. M.O. Goerbig, R. Moessner, B. Douçot, Phys. Rev. B 74, 161407(R) (2006)
• 9. K. Nomura, A.H. MacDonald, Phys. Rev. Lett. 96, 256602 (2006)
• 10. C. Tőke, J.K. Jain, Phys. Rev. B 76, 081403(R) (2007)
• 11. A. Jellal, Nucl. Phys. B 804, 361 (2008)
• 12. G. Möller, S.H. Simon, Phys. Rev. B 72, 045344 (2005)

Identifiers

DOI

10.12693/APhysPolA.119.592