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This work was motivated by the quest for observing interference of fractionally charged quasi particles. Here, we study the behavior of an electronic Mach-Zehnder interferometer (MZI) at the integer quantum Hall effect (IQHE) regime at…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Itamar Gurman , Ron Sabo , Moty Heiblum , Vladimir Umansky , Diana Mahalu

Quasi-particles are elementary excitations of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue for their manipulation for quantum information tasks. Here, we consider…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 I. Taktak , M. Kapfer , J. Nath , P. Roulleau , M. Acciai , J. Splettstoesser , I. Farrer , D. A. Ritchie , D. C. Glattli

We study the visibility of Aharonov-Bohm interference in an electronic Mach-Zehnder interferometer (MZI) in the integer quantum Hall regime. The visibility is controlled by the filling factor $\nu$ and is observed only between $\nu \approx…

Materials Science · Physics 2008-08-06 L. V. Litvin , A. Helzel , H. -P. Tranitz , W. Wegscheider , C. Strunk

Fabry-P\'{e}rot interferometry has emerged as a tool to probe anyon statistics in the quantum Hall effect. The interference phase is interpreted as a combination of a quantized statistical phase and an Aharonov-Bohm phase, proportional to…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 D. E. Feldman , Bertrand I. Halperin

We show how shot noise in an electronic Mach-Zehnder interferometer in the fractional quantum Hall regime probes the charge and statistics of quantum Hall quasiparticles. The dependence of the noise on the magnetic flux through the…

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

In recent interference experiments with an electronic Fabry-Perot interferometer (FPI), implemented in the integer quantum Hall effect regime, a flux periodicity of $h/2e$ was observed at bulk fillings $\nu_B>2.5$. The halved periodicity…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 I. Sivan , R. Bhattacharyya , H. K. Choi , M. Heiblum , D. E. Feldman , D. Mahalu , V. Umansky

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 compute the temperature, voltage, and magnetic field dependences of the resistance oscillations of a model interferometer designed to measure the fractional statistics of the quasiparticles in the fractional quantum Hall (FQH) effect.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eun-Ah Kim

Electronic interferometers using the chiral, one-dimensional (1D) edge channels of the quantum Hall effect (QHE) can demonstrate a wealth of fundamental phenomena. The recent observation of phase jumps in a Fabry-P\'erot (FP) interferometer…

Even-denominator quantum Hall states can host several types of anyons with distinct exchange statistics. Depending on the anyon type, exchanging two quasiparticles can impart a phase to the many-body wave function or even transform it into…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Jehyun Kim , Amit Shaer , Ravi Kumar , Alexey Ilin , Kenji Watanabe , Takashi Taniguchi , Ady Stern , David F. Mross , Yuval Ronen

A standing problem in low dimensional electron systems is the nature of the 5/2 fractional quantum Hall state: its elementary excitations are a focus for both elucidating the state's properties and as candidates in methods to perform…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. L. Willett , L. N. Pfeiffer , K. W. West

We have studied theoretically the tunneling between two edges of Quantum Hall liquids (QHL) of different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two separate point contacts in the geometry of…

Strongly Correlated Electrons · Physics 2010-05-11 Vadim V. Ponomarenko , Dmitri V. Averin

We propose a Hanbury Brown-Twiss interferometer for a $\nu=2/5$ fractional quantum Hall edge system, in which quasiparticles tunnel between two co-propagating edge modes. In contrast to the previously studied anyonic Fabry-P\'{e}rot and…

Quantum Hall (QH) interferometry provides an archetypal platform for the experimental realization of braiding statistics of fractional QH states. However, the complexity of observing fractional statistics requires phase coherence over the…

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

Optical interferometers are extensively used in fundamental physics test, gravitational wave detection, quantum metrology, topological photonics, and quantum information processing. Fiber-based interferometers are compact, robust and cheap,…

Optics · Physics 2025-02-21 Ruiyang Chen , Yi-Han Luo , Jinbao Long , Junqiu Liu

The quantum Hall (QH) effect represents a unique playground where quantum coherence of electrons can be exploited for various applications, from metrology to quantum computation. In the fractional regime it also hosts anyons, emergent…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 Matteo Carrega , Luca Chirolli , Stefan Heun , Lucia Sorba

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 report experiments in a large, 2.5 micron diameter Fabry-Perot quantum Hall interferometer with two tunneling constrictions. Interference fringes are observed as conductance oscillations as a function of applied magnetic field (the…

Strongly Correlated Electrons · Physics 2009-12-01 Ping V. Lin , F. E. Camino , V. J. Goldman

We examine the relation between different electronic transport phenomena in a Fabry-Perot interferometer in the fractional quantum Hall regime. In particular, we study the way these phenomena reflect the statistics of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2010-08-24 Ady Stern , Bernd Rosenow , Roni Ilan , Bertrand I. Halperin