Interaction effects in a multi-channel Fabry-P\'erot interferometer in the Aharonov-Bohm regime

作者: Dario Ferraro , Eugene Sukhorukov

DOI: 10.21468/SCIPOSTPHYS.3.2.014

关键词: InterferometryOhmic contactResidualPhysicsScatteringBiasingDissipationCommunication channelCoulomb blockadeQuantum mechanics

摘要: We investigate a Fabry-Perot interferometer in the integer Hall regime which only one edge channel is transmitted and n channels are trapped into loop. Addressing recent experimental observations, we assume that Coulomb blockade effects completely suppressed due to screening, while keeping track of residual strong short range electron-electron interaction between co-propagating This kind can be described framework edge-magnetoplasmon scattering matrix theory allowing us evaluate backscattering current associated differential conductance as function bias voltage. The remarkable features these quantities discussed number channels. developed formalism reveals very general provides also simple way model experimentally relevant geometry some absorbed an Ohmic contact, leading energy dissipation.

参考文章(40)
M. Dolev, Y. Gross, Y. C. Chung, M. Heiblum, V. Umansky, D. Mahalu, Dependence of the tunneling quasiparticle charge determined via shot noise measurements on the tunneling barrier and energetics Physical Review B. ,vol. 81, pp. 161303- ,(2010) , 10.1103/PHYSREVB.81.161303
Xiao-Gang Wen, Topological orders and edge excitations in fractional quantum hall states Advances in Physics. ,vol. 44, pp. 405- 473 ,(1995) , 10.1080/00018739500101566
H.K. Choi, I. Sivan, A. Rosenblatt, M. Heiblum, V. Umansky, D. Mahalu, Robust electron pairing in the integer quantum hall effect regime Nature Communications. ,vol. 6, pp. 7435- ,(2015) , 10.1038/NCOMMS8435
A Braggio, D Ferraro, M Carrega, N Magnoli, M Sassetti, Environmental induced renormalization effects in quantum Hall edge states arXiv: Strongly Correlated Electrons. ,(2012) , 10.1088/1367-2630/14/9/093032
A. Kou, C. M. Marcus, L. N. Pfeiffer, K. W. West, Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes Physical Review Letters. ,vol. 108, pp. 256803- ,(2012) , 10.1103/PHYSREVLETT.108.256803
N Magnoli, M Sassetti, A Braggio, D Ferraro, Neutral modes' edge state dynamics through quantum point contacts New Journal of Physics. ,vol. 12, pp. 013012- ,(2010) , 10.1088/1367-2630/12/1/013012
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
Claire Wahl, Jérôme Rech, Thibaut Jonckheere, Thierry Martin, Interactions and charge fractionalization in an electronic Hong-Ou-Mandel interferometer. Physical Review Letters. ,vol. 112, pp. 046802- ,(2014) , 10.1103/PHYSREVLETT.112.046802
D. Ferraro, A. Braggio, M. Merlo, N. Magnoli, M. Sassetti, Relevance of multiple quasiparticle tunneling between edge states at nu=p/(2np+1). Physical Review Letters. ,vol. 101, pp. 166805- ,(2008) , 10.1103/PHYSREVLETT.101.166805
D. Ferraro, A. Braggio, N. Magnoli, M. Sassetti, Charge tunneling in fractional edge channels Physical Review B. ,vol. 82, pp. 085323- ,(2010) , 10.1103/PHYSREVB.82.085323