Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




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Abstract: We have studied theoretically the tunneling between two edges of Quantum Hallliquids QHL of different filling factors, $ u {0,1}=1-2 m {0,1}+1$, with$m 0 \geq m 1\geq 0$, through two separate point contacts in the geometry ofMach-Zehnder interferometer Y. Ji et al., Nature {\bf 422}, 415 2003; I.Neder et al., Phys.\ Rev.\ Lett. {\bf 96}, 016804 2006. The quasi-particleformulation of the interferometer model is derived as a dual to the initialelectron model, in the limit of strong electron tunneling reached at largevoltages or temperatures. For $m\equiv 1+m {0}+m {1}>1$, the tunneling ofquasiparticles of fractional charge $e-m$ leads to non-trivial $m$-statedynamics of effective flux through the interferometer, which restores theregular -electron- periodicity of the current in flux despite the fractionalcharge and statistics of quasiparticles. The exact solution available for equaltimes of propagation between the contacts along the two edges demonstrates thatthe interference pattern of modulation of the tunneling current by flux dependson voltage and temperature only through a common amplitude.



Author: Vadim V. Ponomarenko, Dmitri V. Averin

Source: https://arxiv.org/







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