Observation of a quarter of an electron charge at the ν = 5/2 quantum Hall state

Nature

Volumn 452, Issue 7189, 2008, Pages 829-834

  Dolev, M ^a   Heiblum, M ^a   Umansky, V ^a   Stern, A ^a   Mahalu, D ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CRYOGENIC FLUID; CURRENT VELOCITY; ELECTRON; MAGNETIC FIELD;

ARTICLE; BOSON; CORRELATION ANALYSIS; ELECTRON; FERMION; MAGNETIC FIELD; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; QUANTUM MECHANICS;

ABELIA;

EID: 42249111039     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature06855     Document Type: Article

References (29)

1. Tsui, D. C., Stormer, H. L. & Gossard, A. C. Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett. 48, 1559-1562 (1982).
2. Prange,R. E. & Girvin, S.M. (eds) The Quantum Hall Effect (Springer, New York, 1987).
3. Willett, R. et al. Observation of an even-denominator quantum number in the fractional quantum Hall effect. Phys. Rev. Lett. 59, 1776-1779 (1987).
4. Moore, G. & Read, N. Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B 360, 362-396 (1991).
5. Read, N. Paired fractional quantum Hall states and the ν=55/2 puzzle. Preprint at 〈http://arxiv.org/abs/cond-mat/0011338〉 (2000).
6. Kitaev, A. Fault tolerant quantum computation by anyons. Ann. Phys. (NY) 303, 2-30 (2003).
7. Das Sarma, S., Freedman, M., Nayak, C., Simon, S. & Stern, A. Non-abelian anyons and topological quantum computation. Preprint at 〈http://arxiv.org/abs/0707.1889〉 (2007).
8. Das Sarma, S., Freedman, M. & Nayak, C. Topologically protected qubits from a possible non-abelian fractional quantum Hall state. Phys. Rev. Lett. 94, 166802 (2005).
9. Read, N. & Green, D. Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect. Phys. Rev. B 61, 10267-10297 (2000).
10. Morf, R. H. Transition from quantum Hall to compressible states in the second Landau level: New light on the 5/2 enigma. Phys. Rev. Lett. 80, 1505-1508 (1998).
11. de Picciotto, R. et al. Direct observation of a fractional charge. Nature 389, 162-164 (1997).
12. Saminadayar, L.,Glattli, D. C., Jin, Y. & Etienne, B. Observation of the e/3 fractionally charged Laughlin quasiparticles. Phys. Rev. Lett. 79, 2526-2529 (1997).
13. Stern, A. & Halperin, B. I. Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state. Phys. Rev. Lett. 96, 016802 (2006).
14. Fradkin, E. et al. A Chern-Simons effective field theory for the Pfaffian quantum Hall state. Nucl. Phys. B 516, 704-718 (1998).
15. Bonderson, P., Kitaev, A. & Shtengel, K. Detecting non-abelian statistics in the ν=5/2 fractional quantum Hall state. Phys. Rev. Lett. 96, 016803 (2006).
16. Feldman, D. E., Gefen, Y., Kitaev, A., Law, K. T. & Stern, A. Shot noise in anyonic Mach-Zehnder interferometer. Phys. Rev. B 76, 085333 (2007).
17. Toke, C. & Jain, J. K. Understanding the 5/2 fractional quantum Hall effect without the Pfaffian wave function. Phys. Rev. Lett. 96, 246805 (2006).
18. Pan, W. et al. The other even-denominator fractions. Physica E 9, 9-16 (2001).
19. Miller, J. B. et al. Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2. Nature Phys. 3, 561-565 (2007).
20. Chung, Y. C., Heiblum, M. & Umansky, V. Scattering of bunched fractionally charged quasiparticles. Phys. Rev. Lett. 91, 216804 (2003).
21. Griffiths, T. G., Comforti, E., Heiblum, M., Stern, A. & Umansky, V. Evolution of the quasiparticle charge in the fractional quantum Hall regime. Phys. Rev. Lett. 85, 3918-3921 (2000).
22. Reznikov, M. et al. Observation of quasiparticles with one-fifth of an electron's charge. Nature 389, 238-241 (1999).
23. Lesovik, G. B. Excess quantum shot noise in 2D ballistic point contacts. JETP Lett. 49, 592-594 (1989).
24. Bena, C. & Nayak, C. Effects of non-Abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state. Phys. Rev. B 73, 155335 (2006).
25. Martin, T. & Landauer, R. Wave packet approach to noise in multi-channel mesoscopic systems. Phys. Rev. B 45, 1742-1755 (1992).
26. Chung, Y. C. et al. Anomalous chiral Luttinger liquid behavior of diluted fractionally charged quasiparticles. Phys. Rev. B 67, 201104 (2003).
27. Roddaro, S., Pellegrini, V. & Beltram, F. Particle-hole Luttinger liquids in a quantum Hall circuit. Phys. Rev. Lett. 95, 156804 (2005).
28. Kane, C. L. & Fisher, M. P. A. Nonequilibrium noise and fractional charge in the quantum Hall effect. Phys. Rev. Lett. 72, 724-727 (1994).
29. Stevn, A. Anyons and the quantum Hall effect-A pedagogical review. Ann. Phys. 1, 204-249 (2008).