Spectroscopy of Quantum Hall Edge States at Complex Filling Factors

作者: Ivan Levkivskyi

DOI: 10.1007/978-3-642-30499-6_7

关键词:

摘要: We propose direct experimental tests of the effective models fractional quantum Hall edge states. first illustrate classification with example a fluid at filling factor 2/3. show that, in this example, it is impossible to describe states only one chiral channel and that there are several inequivalent two fields. focus our attention on four simplest 2/3 evaluate charges scaling dimensions quasi-particles. study transport through an electronic Fabry-Perot interferometer properties Fourier components Aharonov-Bohm oscillations current provide information about electric Thus, such interferometers can be used discriminate between different fluids corresponding same factor.

参考文章(59)
E. Bieri, M. Weiss, O. Göktas, M. Hauser, C. Schönenberger, S. Oberholzer, Finite-bias visibility dependence in an electronic Mach-Zehnder interferometer Physical Review B. ,vol. 79, pp. 245324- ,(2009) , 10.1103/PHYSREVB.79.245324
F. E. Camino, Wei Zhou, V. J. Goldman, e/3 Laughlin quasiparticle primary-filling nu=1/3 interferometer. Physical Review Letters. ,vol. 98, pp. 076805- ,(2007) , 10.1103/PHYSREVLETT.98.076805
R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, D. Mahalu, Direct observation of a fractional charge Nature. ,vol. 389, pp. 162- 164 ,(1997) , 10.1038/38241
Edward Witten, Anti de Sitter space and holography Advances in Theoretical and Mathematical Physics. ,vol. 2, pp. 253- 291 ,(1998) , 10.4310/ATMP.1998.V2.N2.A2
M. Dolev, M. Heiblum, V. Umansky, Ady Stern, D. Mahalu, Observation of a quarter of an electron charge at the ν = 5/2 quantum Hall state Nature. ,vol. 452, pp. 829- 834 ,(2008) , 10.1038/NATURE06855
D. B. Chklovskii, B. I. Shklovskii, L. I. Glazman, Electrostatics of edge channels. Physical Review B. ,vol. 46, pp. 4026- 4034 ,(1992) , 10.1103/PHYSREVB.46.4026
C. L. Kane, Matthew P. A. Fisher, Nonequilibrium noise and fractional charge in the quantum Hall effect. Physical Review Letters. ,vol. 72, pp. 724- 727 ,(1994) , 10.1103/PHYSREVLETT.72.724
I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, V. Umansky, Unexpected Behavior in a Two-Path Electron Interferometer Physical Review Letters. ,vol. 96, pp. 016804- ,(2006) , 10.1103/PHYSREVLETT.96.016804
Bertrand I. Halperin, Ady Stern, Izhar Neder, Bernd Rosenow, Theory of the Fabry-Perot quantum Hall interferometer Physical Review B. ,vol. 83, pp. 155440- ,(2011) , 10.1103/PHYSREVB.83.155440