Charge fractionalization in the integer quantum hall effect

Physical Review Letters

Volumn 112, Issue 16, 2014, Pages

  Inoue, Hiroyuki ^a   Grivnin, Anna ^a   Ofek, Nissim ^b   Neder, Izhar ^c   Heiblum, Moty ^a   Umansky, Vladimir ^a   Mahalu, Diana ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b Yale University   (United States)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

HALL EFFECT DEVICES; QUANTUM THEORY; SHOT NOISE;

EDGE CHANNELS; FRACTIONAL CHARGES; NOISE MEASUREMENTS; RELATIVE VELOCITY;

QUANTUM HALL EFFECT;

EID: 84899533013     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.166801     Document Type: Article

References (38)

1. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
2. X.G. Wen, Phys. Rev. B 41, 12838 (1990). PRBMDO 0163-1829 10.1103/PhysRevB.41.12838
3. R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) 389, 162 (1997). NATUAS 0028-0836 10.1038/38241 (Pubitemid 27400593)
4. L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. 79, 2526 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.2526
5. J. Martin, S. Ilani, B. Verdene, J. Smet, V. Umansky, D. Mahalu, D. Schuh, G. Abstreiter, and A. Yacoby, Science 305, 980 (2004). SCIEAS 0036-8075 10.1126/science.1099950 (Pubitemid 39071767)
6. N. Ofek, A. Bid, M. Heiblum, A. Stern, V. Umansky, and D. Mahalu, Proc. Natl. Acad. Sci. U.S.A. 107, 5276 (2010). PNASA6 0027-8424 10.1073/pnas. 0912624107
7. I. Safi and H.J. Schulz, Phys. Rev. B 52, R17040 (1995). PRBMDO 0163-1829 10.1103/PhysRevB.52.R17040
8. K.-V. Pham, M. Gabay, and P. Lederer, Phys. Rev. B 61, 16397 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.61.16397
9. H. Steinberg, G. Barak, A. Yacoby, L.N. Pfeiffer, K.W. West, B.I. Halperin, and K. Le Hur, Nat. Phys. 4, 116 (2007). NPAHAX 1745-2473 10.1038/nphys810
10. B.I. Halperin, Phys. Rev. B 25, 2185 (1982). PRBMDO 0163-1829 10.1103/PhysRevB.25.2185
11. M. Büttiker, Phys. Rev. B 38, 9375 (1988). PRBMDO 0163-1829 10.1103/PhysRevB.38.9375
12. C. Kane, M. Fisher, and J. Polchinski, Phys. Rev. Lett. 72, 4129 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.4129
13. C.L. Kane and M.P.A. Fisher, Phys. Rev. B 51, 13449 (1995). PRBMDO 0163-1829 10.1103/PhysRevB.51.13449
14. A. Bid, N. Ofek, H. Inoue, M. Heiblum, C.L. Kane, V. Umansky, and D. Mahalu, Nature (London) 466, 585 (2010). NATUAS 0028-0836 10.1038/nature09277
15. H. Inoue, A. Grivnin, Y. Ronen, M. Heiblum, V. Umansky, and D. Mahalu, arXiv:1312.7553.
16. I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, and V. Umansky, Phys. Rev. Lett. 96, 016804 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.016804 (Pubitemid 43248387)
17. P. Roulleau, F. Portier, D.C. Glattli, P. Roche, A. Cavanna, G. Faini, U. Gennser, and D. Mailly, Phys. Rev. B 76, 161309 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.161309
18. F. Marquardt, Phys. Rev. B 74, 125319 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.125319 (Pubitemid 44455369)
19. J.T. Chalker, Y. Gefen, and M.Y. Veillette, Phys. Rev. B 76, 085320 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.085320
20. I.P. Levkivskyi and E.V. Sukhorukov, Phys. Rev. B 78, 045322 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.045322
21. C. Neuenhahn and F. Marquardt, New J. Phys. 10, 115018 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/11/115018
22. I. Neder, F. Marquardt, M. Heiblum, D. Mahalu, and V. Umansky, Nat. Phys. 3, 534 (2007). NPAHAX 1745-2473 10.1038/nphys627
23. P. Roulleau, F. Portier, P. Roche, A. Cavanna, G. Faini, U. Gennser, and D. Mailly, Phys. Rev. Lett. 101, 186803 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.186803
24. H. le Sueur, C. Altimiras, U. Gennser, A. Cavanna, D. Mailly, and F. Pierre, Phys. Rev. Lett. 105, 056803 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.056803
25. P. Degiovanni, C. Grenier, G. Fève, C. Altimiras, H. le Sueur, and F. Pierre, Phys. Rev. B 81, 121302 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.121302
26. A.M. Lunde, S.E. Nigg, and M. Büttiker, Phys. Rev. B 81, 041311 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.041311
27. I.P. Levkivskyi and E.V. Sukhorukov, Phys. Rev. B 85, 075309 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.075309
28. E. Berg, Y. Oreg, E.-A. Kim, and F. von Oppen, Phys. Rev. Lett. 102, 236402 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.236402
29. J.M. Leinaas, M. Horsdal, and T.H. Hansson, Phys. Rev. B 80, 115327 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.115327
30. M. Horsdal, M. Rypestøl, H. Hansson, and J.M. Leinaas, Phys. Rev. B 84, 115313 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.115313
31. I. Neder, Phys. Rev. Lett. 108, 186404 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.186404
32. I.P. Levkivskyi and E.V. Sukhorukov, Phys. Rev. Lett. 109, 246806 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.246806
33. M. Milletarì and B. Rosenow, Phys. Rev. Lett. 111, 136807 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.136807
34. E. Bocquillon, V. Freulon, J.-M. Berroir, P. Degiovanni, B. Plaçais, A. Cavanna, Y. Jin, and G. Fève, Nat. Commun. 4, 1839 (2013). NCAOBW 2041-1723 10.1038/ncomms2788
35. V. Venkatachalam, S. Hart, L. Pfeiffer, K. West, and A. Yacoby, Nat. Phys. 8, 676 (2012). NPAHAX 1745-2473 10.1038/nphys2384
36. T. Martin and R. Landauer, Phys. Rev. B 45, 1742 (1992). PRBMDO 0163-1829 10.1103/PhysRevB.45.1742
37. See Supplementary Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.166801 for the data set of a device with (Equation presented).
38. H. Kamata, N. Kumada, M. Hashisaka, K. Muraki, and T. Fujisawa, Nat. Nanotechnol. 9, 177 (2014). NNAABX 1748-3387 10.1038/nnano.2013.312