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We study transport through an electronic Mach-Zehnder interferometer recently devised at the Weizmann Institute. We show that this device can be used to probe statistics of quasiparticles in the fractional quantum Hall regime. We calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. T. Law , D. E. Feldman , Yuval Gefen

We consider dephasing in the electronic Mach-Zehnder interferometer strongly coupled to current noise created by a voltage biased quantum point contact (QPC). We find the visibility of Aharonov-Bohm oscillations as a function voltage bias…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Ivan P. Levkivskyi , Eugene V. Sukhorukov

The reduction of the amplitude of Aharonov-Bohm oscillations in a ballistic one-channel mesoscopic interferometer due to charge fluctuations is investigated. In the arrangement considered the interferometer has four terminals and is coupled…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Georg Seelig , Markus Buttiker

It was recently suggested that a novel type of phase transition may occur in the visibility of electronic Mach-Zehnder Interferometers. Here, we present experimental evidence for the existence of this transition. The transition is induced…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 A. Helzel , L. V. Litvin , I. P. Levkivskyi , E. V. Sukhorukov , W. Wegscheider , C. Strunk

In the present study, we investigate the full counting statistics in a two-terminal Aharonov-Bohm interferometer embedded with an interacting quantum dot. We introduce a novel saddle-point solution for a cumulant-generating function, which…

Mesoscale and Nanoscale Physics · Physics 2010-03-31 Yasuhiro Utsumi , Keiji Saito

We present a stochastic path integral method to calculate the full counting statistics of conductors with energy conserving dephasing probes and dissipative voltage probes. The approach is explained for the experimentally important case of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Pilgram , P. Samuelsson , H. Forster , M. Buttiker

Anyonic Fabry-P\'erot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2024-01-04 Navketan Batra , Zezhu Wei , Smitha Vishveshwara , D. E. Feldman

We propose a dynamical scheme for measuring the full counting statistics in a mesoscopic conductor using an electronic Mach-Zehnder interferometer. The conductor couples capacitively to one arm of the interferometer and causes a phase shift…

Mesoscale and Nanoscale Physics · Physics 2016-10-03 David Dasenbrook , Christian Flindt

We investigate a Mach-Zehnder interferometer driven by a time-dependent voltage. Motivated by recent experiments, we focus on a train of Lorentzian voltage pulses which we compare to a sinusoidal and a constant voltage. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Patrick P. Hofer , Christian Flindt

We develop a theoretical description of a Mach-Zehnder interferometer built from integer quantum Hall edge states, with an emphasis on how electron-electron interactions produce decoherence. We calculate the visibility of interference…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 J. T. Chalker , Yuval Gefen , M. Y. Veillette

We present a theory for the full distribution of current fluctuations in incoherent diffusive superconducting junctions, subjected to a voltage bias. This theory of full counting statistics of incoherent multiple Andreev reflections is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Samuelsson

We study the full-counting statistics of charges transmitted through a single-level quantum dot weakly coupled to a local Einstein phonon which causes fluctuations in the dot energy. An analytic expression for the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Y. Utsumi , O. Entin-Wohlman , A. Ueda , A. Aharony

Phase-shifting interferometry is one of the optical measurement techniques that improves accuracy and resolution by incorporating a controlled phase shift into conventional optical interferometry. In this study, a four-step phase-shifting…

Applied Physics · Physics 2025-03-18 Eita Shoji , Anis Maddi , Guillaume Penelet , Tetsushi Biwa

We investigate the temperature and voltage dependence of the quantum interference in an electronic Mach-Zehnder interferometer using edge channels in the integer quantum-Hall-regime. The amplitude of the interference fringes is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. V. Litvin , H. -P. Tranitz , W. Wegscheider , C. Strunk

We have studied the zero-temperature statistics of the charge transfer between the two edges of Quantum Hall liquids of, in general, different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, forming Mach-Zehnder…

Strongly Correlated Electrons · Physics 2015-05-18 V. V. Ponomarenko , D. V. Averin

We present a theoretical study of the influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer. In contrast to phenomenological approaches, we employ a microscopic model where dephasing is induced by the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt , C. Bruder

We study fermions in a Mach-Zehnder interferometer, subject to a quantum-mechanical environment leading to inelastic scattering, decoherence, renormalization effects, and time-dependent conductance fluctuations. Both the loss of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt

We study electron transport through a triple quantum dot in ring configuration at finite bias. In particular, we analyze the influence of a gate voltage that detunes one of the dots, such that one branch of the interferometer becomes…

Mesoscale and Nanoscale Physics · Physics 2011-01-11 Fernando Domínguez , Gloria Platero , Sigmund Kohler

We use a Mach-Zehnder quantum Hall interferometer of a novel design to investigate the interference effects at fractional filling factors. Our device brings together the advantages of usual Mach-Zehnder and Fabry-Perot quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 E. V. Deviatov , S. V. Egorov , G. Biasiol , L. Sorba

Fractionally charged quasiparticles in the quantum Hall state with filling factor $\nu=5/2$ are expected to obey non-Abelian statistics. We demonstrate that their statistics can be probed by transport measurements in an electronic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. E. Feldman , Alexei Kitaev
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