Abstract
We propose a physical model which describes dephasing in the electronic Mach-Zehnder interferometer and explains recent experimental results. According to our model, dephasing in the interferometer originates from strong Coulomb interaction at the edge of two-dimensional electron gas. The long-range character of the interaction leads to a separation of the spectrum of edge excitations on slow and fast mode. These modes are excited by electron tunneling and carry away the phase information. The new energy scale associated with the slow mode determines the temperature dependence of the visibility and the period of its oscillations as a function of voltage bias. Moreover, the variation of the lobe structure from one experiment to another is explained by specific charging effects, which are different in all experiments.
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Some text sections in this chapter are reproduced from Phys. Rev. B 78, 045322 (2008), © American Physical Society.
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- 1.
In Fig. 1 of the Ref. [1] the counter-propagating edge state goes from the source S3 to quantum point contact QPC0 and under the air bridge comes very closely to the upper arm of the interferometer, which is the part of the channel between quantum point contact QPC1 and quantum, point contact QPC2.
References
I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, V. Umansky, Phys. Rev. Lett. 96, 016804 (2006)
I.P. Levkivskyi, E.V. Sukhorukov, Phys. Rev. B 78, 045322 (2008)
E.V. Sukhorukov, V.V. Cheianov, Phys. Rev. Lett. 99, 156801 (2007)
J.T. Chalker, Y. Gefen, M.Y. Veillette, Phys. Rev. B 76, 085320 (2007)
I. Neder, E. Ginossar, Phys. Rev. Lett. 100, 196806 (2008)
S.-C. Youn, H.-W. Lee, H.-S. Sim, Phys. Rev. Lett. 100, 196807 (2008)
E. Bieri, Correlation and Interference Experiments with Edge States, PhD thesis, University of Basel (2007)
E. Bieri, M. Weiss, O. Goktas, M. Hauser, C. Schonenberger, S. Oberholzer, Phys. Rev. B 79, 245324 (2009)
P. Roulleau, F. Portier, D.C. Glattli, P. Roche, A. Cavanna, G. Faini, U. Gennser, D. Mailly, Phys. Rev. B 76, 161309 (2007)
P. Roulleau, F. Portier, D.C. Glattli, P. Roche, A. Cavanna, G. Faini, U. Gennser, D. Mailly, Phys. Rev. Lett. 100, 126802 (2008)
L.V. Litvin, H.-P. Tranitz, W. Wegscheider, C. Strunk, Phys. Rev. B 75, 033315 (2007)
L.V. Litvin, A. Helzel, H.-P. Tranitz, W. Wegscheider, C. Strunk, Phys. Rev. B 78, 075303 (2008)
D.B. Chklovskii, B.I. Shklovskii, L.I. Glazman, Phys. Rev. B 46, 4026 (1992)
For a review, see A.M. Chang, Rev. Mod. Phys. 75, 1449 (2003)
X.-G. Wen, Adv. Phys. 44, 405 (1995)
Th. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2003)
X.-G. Wen, Quantum Field Theory of Many-body Systems (Oxford University Press, New York, 2007)
G.D. Mahan, Many Particle Physics, 2nd edn. (Plenum, New York, 1993)
G. Seelig, M. Büttiker, Phys. Rev. B 64, 245313 (2001)
G. Seelig et al., Phys. Rev. B 68, 161310 (2003)
F. Marquardt, C. Bruder, Phys. Rev. Lett. 92, 056805 (2004)
F. Marquardt, C. Bruder, Phys. Rev. B 70, 125305 (2004)
J. Fröhlich, B. Pedrini, C. Schweigert, J. Walcher, J. Stat. Phys. 103, 527 (2001)
V.S.-W. Chung, P. Samuelsson, M. Büttiker, Phys. Rev. B 72, 125320 (2005)
C.L. Kane, M.P. Fisher, J. Polchinski, Phys. Rev. Lett. 72, 4129 (1994)
K.T. Law, D.E. Feldman, Y. Gefen, Phys. Rev. B 74, 045319 (2006)
V.V. Ponomarenko, D.V. Averin, Phys. Rev. Lett. 99, 066803 (2007)
E. Ardonne, E.-A. Kim, J. Stat. Mech. L04001 (2008). doi: 10.1088/1742-5468/2008/04/L04001
B.J. Overbosch, X.-G. Wen, arXiv:0706.4339
W. Bishara, C. Nayak, Phys. Rev. B 77, 165302 (2008)
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Levkivskyi, I. (2012). Interaction Induced Dephasing of Edge States. In: Mesoscopic Quantum Hall Effect. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30499-6_3
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