Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

作者: Jeffrey B. Miller , Iuliana P. Radu , Dominik M. Zumbühl , Eli M. Levenson-Falk , Marc A. Kastner

DOI: 10.1038/NPHYS658

关键词: Quantum dissipationQuantum tunnellingTopological quantum computerComposite fermionQuantum Hall effectCondensed matter physicsQuantum mechanicsFractional quantum Hall effectPhysicsQuantum spin Hall effectQuantum point contact

摘要: Recent theories suggest that the quasiparticles populate certain quantum Hall states should exhibit exotic braiding statistics could be used to build topological gates. Confined systems support such at a filling fraction ν=5/2 are of particular interest for testing these predictions. Here, we report transport measurements just system, which consists point contact (QPC) in two-dimensional GaAs/AlGaAs electron gas itself exhibits well-developed fractional effect bulk νbulk=5/2. We observe plateau-like features an effective νQPC=5/2 lithographic widths 1.2 μm and 0.8 μm, but not 0.5 μm. Transport near QPCs is consistent with picture chiral Luttinger-liquid edge inter-edge tunnelling, suggesting incompressible state forms this confined geometry.

参考文章(53)
Kwon Park, J. K. Jain, Vito W. Scarola, Cooper instability of composite fermions Nature. ,vol. 406, pp. 863- 865 ,(2000) , 10.1038/35022524
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
D. E. Feldman, Alexei Kitaev, Detecting non-Abelian statistics with an electronic Mach-Zehnder interferometer. Physical Review Letters. ,vol. 97, pp. 186803- ,(2006) , 10.1103/PHYSREVLETT.97.186803
M. P. Lilly, K. B. Cooper, J. P. Eisenstein, L. N. Pfeiffer, K. W. West, Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field Physical Review Letters. ,vol. 83, pp. 824- 827 ,(1999) , 10.1103/PHYSREVLETT.83.824
Suk Bum Chung, Michael Stone, Proposal for reading out anyon qubits in non-Abelian ν=12/5 quantum Hall state Physical Review B. ,vol. 73, pp. 245311- ,(2006) , 10.1103/PHYSREVB.73.245311
Roberto D’Agosta, Giovanni Vignale, Roberto Raimondi, Temperature dependence of the tunneling amplitude between quantum hall edges Physical Review Letters. ,vol. 94, pp. 086801- ,(2005) , 10.1103/PHYSREVLETT.94.086801
A. Würtz, E.V. Deviatov, A. Lorke, V.T. Dolgopolov, D. Reuter, A.D. Wieck, Separately contacted edge states in the fractional quantum Hall regime Physica E-low-dimensional Systems & Nanostructures. ,vol. 22, pp. 177- 180 ,(2004) , 10.1016/J.PHYSE.2003.11.244
B. W. Alphenaar, J. G. Williamson, H. van Houten, C. W. J. Beenakker, C. T. Foxon, Observation of excess conductance of a constricted electron gas in the fractional quantum Hall regime Physical Review B. ,vol. 45, pp. 3890- 3893 ,(1992) , 10.1103/PHYSREVB.45.3890
C. W. J. Beenakker, Edge channels for the fractional quantum Hall effect. Physical Review Letters. ,vol. 64, pp. 216- 219 ,(1990) , 10.1103/PHYSREVLETT.64.216