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Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

Interference of edge channels is expected to be a prominent tool for studying statistics of charged quasiparticles in the quantum Hall effect (QHE) [A. Stern (2008), Ann. Phys. 1:204; C. Chamon et al. (1997), Phys. Rev. B, 55:2331]. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Nissim Ofek , Aveek Bid , Moty Heiblum , Ady Stern , Vladimir Umansky , Diana Mahalu

Electron interferometry with quantum Hall edge channels holds promise for probing and harnessing exotic exchange statistics of non-Abelian anyons. In semiconductor heterostructures, however, quantum Hall interferometry has proven…

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies,…

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

Pairing of electrons is ubiquitous in electronic systems featuring attractive inter-electron interactions, as exemplified in superconductors. Counter-intuitively, it can also be mediated in certain circumstances by the repulsive Coulomb…

Interferometry is a vital tool for studying fundamental features in the quantum Hall effect (QHE). For instance, Aharonov-Bohm (AB) interference in a quantum Hall interferometer can probe the wave-particle duality of electrons and…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Sourav Biswas , Hemanta Kumar Kundu , Rajarshi Bhattacharyya , Vladimir Umansky , Moty Heiblum

Electronic interferometers in the quantum Hall regime are one of the best tools to study the statistical properties of localized quasiparticles in the topologically protected bulk. However, since their behavior is probed via chiral edge…

Electron pairing is a rare phenomenon appearing only in a few unique physical systems; e.g., superconductors and Kondo-correlated quantum dots. Here, we report on an unexpected, but robust, electron "pairing" in the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Hyungkook Choi , Itamar Sivan , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We report the observation of an unpredicted behavior of interfering 2D electrons in the integer quantum Hall effect (IQHE) regime via a utilization of an electronic analog of the well-known Mach-Zehnder interferometer (MZI). The beauty of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , M. Heiblum , Y. Levinson , D. Mahalu , V. Umansky

Aharonov-Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Viet Hung Nguyen , Jean-Christophe Charlier

The charge and exchange statistics of an elementary excitation manifest in quantum coherent oscillations that can be explored in interferometry measurements. Quantum Hall interferometers are primary tools to uncover unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Hailong Fu , Ke Huang , Kenji Watanabe , Takashi Taniguchi , Morteza Kayyalha , Jun Zhu

We demonstrate a quantum Hall edge-channel interferometer in a high-quality graphene pn junction under a high magnetic field. The co-propagating p and n quantum Hall edge channels traveling along the pn interface functions as a built-in…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Sei Morikawa , Satoru Masubuchi , Rai Moriya , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

Quantum Hall Fabry-P\'erot interferometers are sensitive to the properties of bulk quasiparticles enclosed by the interferometer loop, with the interference phase containing information about both the quasiparticle statistics and the…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 N. L. Samuelson , L. A. Cohen , W. Wang , S. Blanch , T. Taniguchi , K. Watanabe , M. P. Zaletel , A. F. Young

Electronic Fabry-P{\'e}rot interferometry is a powerful method to probe quasiparticle charge and anyonic braiding statistics in the fractional quantum Hall regime. We extend this technique to the hierarchy $\nu = 2/5$ fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

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

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

We report on the observation of quantum transport and interference in a graphene device that is attached with a pair of split gates to form an electrostatically-defined quantum point contact (QPC). In the low magnetic field regime, the…

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

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
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