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Motivated by the quasiparticle wavefunction in the composite fermion (CF) theory for fractional quantum Hall filling factor $\nu = 1/m$, I consider a suitable quasiparticle operator in differential form, as a modified form of Laughlin's…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Sudhansu S. Mandal

The fractional quantum Hall effect (FQHE) states at half integer Landau fillings ($\nu$) have long been of great interest, since they have correlations that differ from those of the fundamental Laughlin states found at odd denominators. At…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 A. T. Hatke , Yang Liu , L. W. Engel , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Current noise in nanoscale systems provides additional information beyond the electronic conductance. We report measurements at room temperature of the nonequilibrium "excess" noise in ensembles of atomic-scale gold junctions repeatedly…

Mesoscale and Nanoscale Physics · Physics 2014-06-11 Ruoyu Chen , Patrick Wheeler , D. Natelson

The distinction between chiral, trivial helical, and topological helical edge modes can be effectively made using quantum noise measurements at finite temperatures. Quantum noise measurements consist of mainly two components. The first is…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Sachiraj Mishra , Colin Benjamin

The renormalization factor, dubbed ``quasiparticle charge'' Z_e, of the coupling between the supercurrent and quasiparticles was analyzed in the context of high temperature cuprates in a recent paper by Ioffe and Millis. They observed that…

Superconductivity · Physics 2009-11-07 Hae-Young Kee , Yong Baek Kim

We report the observation of quasi-particles with a charge q=e/5 detected by shot noise measurements in the 2/5 conducting channel (filling factor 2/5). This is in agreement with previous measurements that showed that the current in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Reznikov , R. de Picciotto , T. G. Griffiths , M. Heiblum , V. Umansky

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of…

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

The fractional quantum Hall effect (FQHE), observed in two-dimensional (2D) charged particles at high magnetic fields, is one of the most fascinating, macroscopic manifestations of a many-body state stabilized by the strong Coulomb…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Yang Liu , S. Hasdemir , D. Kamburov , A. L. Graninger , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

We study time-dependent electron transport and quantum noise in a ballistic graphene field effect transistor driven by an ac gate potential. The non-linear response to the ac signal is computed through Floquet theory for scattering states…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Yevgeniy Korniyenko , Oleksii Shevtsov , Tomas Lofwander

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The ac Josephson effect phenomenon is studied in fractional quantum Hall states (FQHS). Usual quantum Hall devices have an electron layer of uniform thickness. We consider a new quantum Hall device. The device has a narrow part that is…

Mesoscale and Nanoscale Physics · Physics 2008-07-03 Shosuke Sasaki

Shot noise at a conductance plateau in a quantum point contact (QPC) can be explained by considering equilibrations at the quantum Hall edges. The indication from recent experiments is that the charge equilibration length is much shorter…

Mesoscale and Nanoscale Physics · Physics 2025-12-22 Sourav Manna , Ankur Das

The conductance quantization and shot noise below the first conductance plateau $G_0 = 2e^2/h$ are measured in a quantum point contact fabricated in a GaAs/AlGaAs tunnel-coupled double quantum well. From the conductance measurement, we…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 D. Terasawa , S. Norimoto , T. Arakawa , M. Ferrier , A. Fukuda , K. Kobayashi , Y. Hirayama

We investigate shot noise for quantum dots whose classical phase space consists of both regular and chaotic regions. The noise is systematically suppressed below the universal value of fully chaotic systems, by an amount which varies with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -S. Sim , H. Schomerus

We investigate the challenges of reaching the quantum regime and generating minimal excitations in the fractional quantum Hall effect (FQHE) under AC driving. Using the unifying non-equilibrium perturbative (UNEP) approach, we analyze weak…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Imen Taktak , Ines Safi

A quantum statistical theory is developed for a fractional quantum Hall effects in terms of composite bosons (fermions) each of which contains a conduction electron and an odd (even) number of fluxons. The cause of the QHE is by assumption…

Mesoscale and Nanoscale Physics · Physics 2013-04-30 Shigeji Fujita , Akira Suzuki , H. C. Ho

Experimental investigations of current shot noise in quantum point contacts show a reduction of the noise near the 0.7 anomaly. It is demonstrated that such a reduction naturally arises in a model proposed recently to explain the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Golub , T. Aono , Yigal Meir

The Fano resonance has been a familiar and important feature in atomic and molecular physics for more than half a century. Typically, the combination of a discrete state with one or more continua results in an asymmetric peak in the…

Atomic Physics · Physics 2021-02-22 Masatomi Iizawa , Satoshi Kosugi , Fumihiro Koike , Yoshiro Azuma

We study the time-dependent dynamical phase of fractional quasiparticles in quantum Hall states using Ramsey interferometry. A Ramsey two-pulse voltage modulation generates an interference term in the current noise of a quantum point…

Strongly Correlated Electrons · Physics 2019-04-24 Tal Goren , Karyn Le Hur

We implement a quantum approach which includes long range Coulomb interaction and investigate current voltage characteristics and shot noise in double barrier resonant diodes. Theory applies to the region of low applied voltages up to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Ya. Aleshkin , L. Reggiani , N. V. Alkeev , V. E. Lyubchenko , C. N. Ironside , J. M. L. Figueiredo , C. R. Stanley