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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…

Experimental observations of flux periodicity $\phi_{0}/2$, where $\phi_0=h/e$, for interference of the outermost edge mode in the integer quantum Hall regime have been attributed to an exotic electron pairing mechanism. We present…

Mesoscale and Nanoscale Physics · Physics 2025-08-18 Shuang Liang , James Nakamura , Geoffrey C. Gardner , Michael J. Manfra

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 demonstrate a new method for locally probing the edge states in the quantum Hall regime utilizing a side coupled quantum dot positioned at an edge of a Hall bar. By measuring the tunneling of electrons from the edge states into the dot,…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Tomohiro Otsuka , Eisuke Abe , Yasuhiro Iye , Shingo Katsumoto

It is demonstrated a two-photon interfering technique based on polarization-resolved measurements for the simultaneous estimation with the maximum sensitivity achievable in nature of multiple parameters associated with the polarization…

Quantum Physics · Physics 2025-02-11 L. Maggio , D. Triggiani , P. Facchi , V. Tamma

Anyons are particles with fractional exchange statistics that emerge as elementary excitations of fractional quantum Hall phases. Experimentally, their exchange statistics can be measured in the edge-state Fabry-P\'erot interferometer. In…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 Noah L. Samuelson , Liam A. Cohen , Will Wang , Simon Blanch , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

We investigate the electrical switching of charge and spin transport in a topological insulator nanoconstriction in a four terminal device. The switch of the edge channels is caused by the coupling between edge states which overlap in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-12 F. Romeo , R. Citro , D. Ferraro , M. Sassetti

We investigate nonlinear transport in electronic Fabry-Perot interferometers in the integer quantum Hall regime. For interferometers sufficiently large that Coulomb blockade effects are absent, a checkerboard-like pattern of conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-14 D. T. McClure , Yiming Zhang , B. Rosenow , E. M. Levenson-Falk , C. M. Marcus , L. N. Pfeiffer , K. W. West

In this work, we propose a novel qubit-based sensor with the ability to characterize topological edge states in low-dimensional systems. A composite system is studied, consisting of a qubit coupled to a topologically nontrivial…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 Nicolas Delnour , Alexei Bissonnette , Hichem Eleuch , Richard MacKenzie , Michael Hilke

We study the effects of bulk-edge Coulomb coupling on quantum Hall Fabry-Perot interferometers. We find that these effects can be appreciable in devices which would not usually be associated with strong bulk-edge Coulomb coupling, provided…

Strongly Correlated Electrons · Physics 2015-09-23 C. W. von Keyserlingk , S. H. Simon , Bernd Rosenow

The modern theory of charge polarization in solids is based on a generalization of Berry's phase. Its possible quantization lies at the heart of our understanding of all systems with topological band structures that were discovered over the…

The distinct methods for measuring topological charge in a non-abelian anyonic system have been discussed in the literature: projective measurement of a single point-like quasiparticle and interferometric measurement of the total…

Quantum Physics · Physics 2015-01-08 Michael H. Freedman , Claire I. Levaillant

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

Existing quantum Hall interferometers measure twice the braiding phase, $e^{i2\theta}$, of Abelian anyons, i.e. the phase accrued when one quasi-particle encircles another clockwise. We propose a modified Fabry-P\'{e}rot or Mach-Zehnder…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Steven A. Kivelson , Chaitanya Murthy

Recent proposals using heterostructures of superconducting and either topologically insulating or semiconducting layers have been put forth as possible platforms for topological quantum computation. These systems are predicted to contain…

Mesoscale and Nanoscale Physics · Physics 2010-11-30 David J. Clarke , Kirill Shtengel

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

We analyze interference phenomena in the quantum-Hall analog of the Fabry-Perot interferometer, exploring the roles of the Aharonov-Bohm effect, Coulomb interactions, and fractional statistics on the oscillations of the resistance as one…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , Bernd Rosenow

Interference of fractionally charged quasi-particles is expected to lead to Aharonov-Bohm oscillations with periods larger than the flux quantum. However, according to the Byers-Yang theorem, observables of an electronic system are…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Juerg Froehlich , Eugene V. Sukhorukov

We theoretically investigate and experimentally demonstrate a procedure for conditional control and enhancement of an interferometric coupling between two qubits encoded into states of bosonic particles. Our procedure combines local…

Quantum Physics · Physics 2017-01-20 R. Stárek , M. Mičuda , I. Straka , M. Miková , M. Ježek , R. Filip , J. Fiurášek

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…