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Recent experiments involving semiconducting quantum dots embedded in Aharonov-Bohm interferometry setups suggest that information concerning the phase of electron wavefunctions can be obtained from transport measurements. Here we review the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Gefen

We present an electron interferometer defined purely by electrostatic gating in encapsulated bilayer graphene. This minimizes possible sample degradation introduced by conventional etching methods when preparing quantum devices. The device…

We study the Aharonov-Bohm effect in an openended tube made of a graphene sheet whose dimensions are much larger than the interatomic distance in graphene. An external magnetic field vanishes on and in the vicinity of the graphene sheet and…

Mathematical Physics · Physics 2020-09-28 Mikhail I. Katsnelson , Vladimir Nazaikinskii

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu=1/3$ fractional quantum Hall state. Strong Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We theoretically investigate the manipulation of the quantum anomalous Hall effect (QAHE) in graphene by means of the uniaxial strain. The values of Chern number and Hall conductance demonstrate that the strained graphene in presence of…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 G. S. Diniz , M. R. Guassi , F. Qu

According to Bohr's complementarity principle, a particle possesses wave-like properties only when the different paths the particle may take are indistinguishable. In a canonical example of a two-path interferometer with a which-path…

Mesoscale and Nanoscale Physics · Physics 2008-06-17 Dong-In Chang , Gyong Luck Khym , Kicheon Kang , Yunchul Chung , Hu-Jong Lee , Minky Seo , Moty Heiblum , Diana Mahalu , Vladimir Umansky

The quantum anomalous Hall (QAH) effect, first proposed in the Haldane model, is a paradigmatic example of the application of band topology in condensed matter physics. The recent experimental discoveries of high Chern number QAH effect in…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Zhaochen Liu , Jing Wang

We theoretically study the quantum Hall effect (QHE) in graphene with an ac electric field. Based on the tight-binding model, the structure of the half-integer Hall plateaus at $\sigma_{xy} = \pm(n + 1/2)4e^2/h$ ($n$ is an integer) gets…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Kai-He Ding , Lih-King Lim , Gang Su , Zheng-Yu Weng

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 propose realizing the quantum anomalous Hall effect by proximity coupling graphene to an antiferromagnetic insulator that provides both broken time-reversal symmetry and spin-orbit coupling. We illustrate our idea by performing ab initio…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Zhenhua Qiao , Wei Ren , Hua Chen , L. Bellaiche , Zhenyu Zhang , A. H. MacDonald , Qian Niu

A Fabry-Perot-type interferometer is experimentally realized for electrons in a semiconductor device. A special experimental geometry creates interference conditions for co-propagating electrons in quantum Hall edge states, which results in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. V. Deviatov , A. Lorke

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

We show that characteristics of the electron's form factor in two-dimensional materials are observable in quasiparticle interference (QPI) spectrum. We study QPI in twisted bilayer graphene using real-space tight-binding calculations…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 D. -H. -Minh Nguyen , Francisco Guinea , Dario Bercioux

We study the role of Coulomb interaction in an electronic Fabry-Perot interferometer (FPI) realized with chiral edge states in the integer quantum Hall regime in the limit of weak backscattering. Assuming that a compressible Coulomb island…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Stephane Ngo Dinh , Dmitry A. Bagrets

Quantum Hall interferometers have been used to probe fractional charge, and more recently, fractional statistics of quasiparticles. Theoretical predictions have been made regarding the effect of electrostatic coupling on interferometer…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

We investigate theoretically the phase coherence of electron transport in edge states of the integer quantum Hall effect at filling factor $\nu=2$, in the presence of disorder and inter-edge state Coulomb interaction. Within a Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Simon E. Nigg , Anders Mathias Lunde

Fractional quantum statistics are the defining characteristic of anyons. Measuring the phase generated by an exchange of anyons is challenging, as standard interferometry setups -- such as the Fabry-P\'erot interferometer -- suffer from…

Mesoscale and Nanoscale Physics · Physics 2025-06-16 Bikash Ghosh , Maria Labendik , Liliia Musina , Vladimir Umansky , Moty Heiblum , David F. Mross

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang

The interplay between quantum geometry and magnetic order offers a novel strategy for designing next-generation nanodevices. Here, we demonstrate that interlayer magnetic coupling in two-dimensional (2D) CoPSe3 bilayers enables precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Zhenning Sun , Tao Wang , Hao Jin , Xinru Li , Yadong Wei , Jian Wang