Mach-Zehnder interferometer in the Fractional Quantum Hall regime

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dc.creatorPonomarenko, Vadim V.
dc.creatorAverin, Dmitri V.
dc.date2006-12-23
dc.date2007-08-15
dc.date.accessioned2026-07-07T08:23:39Z
dc.date.available2026-07-07T08:23:39Z
dc.descriptionWe consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $ν_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of the interferometer is derived explicitly through the instanton duality transformation of the initial electron model. For $m_{0}+m_{1}+1\equiv m>1$, tunneling of quasiparticles of charge $e/m$ leads to non-trivial $m$-state dynamics of effective flux through the interferometer, which restores the regular ``electron'' periodicity of the current in flux. The exact solution available for equal propagation times between the contacts along the two edges demonstrates that the interference pattern in the tunneling current depends on voltage and temperature only through a common amplitude.
dc.descriptionfive two-column pages in RevTex4, 1 eps figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0612607
dc.identifierhttp://arxiv.org/abs/cond-mat/0612607
dc.identifierPhys. Rev. Lett. 99, 66803 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.066803
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136074
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleMach-Zehnder interferometer in the Fractional Quantum Hall regime
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