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Related papers: Fabry-Perot Interferometry with Fractional Charges

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We investigate the temperature and voltage dependence of the quantum interference in an electronic Mach-Zehnder interferometer using edge channels in the integer quantum-Hall-regime. The amplitude of the interference fringes is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. V. Litvin , H. -P. Tranitz , W. Wegscheider , C. Strunk

We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 N. d'Ambrumenil , B. I. Halperin , R. H. Morf

Energy spectrum of fractional quantum Hall (FQH) states is composed of single electron energy (Landau energy) neglecting the Coulomb interactions between electrons, classical Coulomb energy and the quantum energy via quantum transitions.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shosuke Sasaki

Quantum dots in the fractional quantum Hall regime are studied using a Hartree formulation of composite fermion theory. Under appropriate conditions the chemical potential of the dots will oscillate periodically with B due to the transfer…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 E. D. Goldmann , S. R. Renn

We report the observation of fractional quantum Hall (FQH) effects in a two-dimensional electron gas (2DEG) confined to an InAs/AlGaSb quantum well, using a dual-gated Hall-bar device allowing for the independent control of the vertical…

Mesoscale and Nanoscale Physics · Physics 2022-02-17 S. Komatsu , H. Irie , T. Akiho , T. Nojima , T. Akazaki , K. Muraki

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

Integer and fractional Chern insulators have been extensively explored in correlated flat band models. Recently, the prediction and experimental observation of fractional quantum anomalous Hall (FQAH) states with spontaneous…

Strongly Correlated Electrons · Physics 2024-06-07 Hongyu Lu , Bin-Bin Chen , Han-Qing Wu , Kai Sun , Zi Yang Meng

We study the resonant tunneling of quasiparticles through an impurity between the edges of a Fractional Quantum Hall sample. We show that the one-particle momentum distribution of fractionally charged edge quasiparticles has a quasi-Fermi…

Condensed Matter · Physics 2009-10-22 V. L. Pokrovsky , L. P. Pryadko

A fabrication method for electronic quantum Hall Fabry-Perot interferometers (FPI) is presented. Our method uses a combination of e-beam lithography and low-damage dry-etching to produce the FPIs and minimize the excitation of charged traps…

Mesoscale and Nanoscale Physics · Physics 2014-01-10 Sanghun An , Simas Glinskis , Woowon Kang , Leo Ocola , Loren Pfeiffer , Ken West , Kirk Baldwin

The fractional quantum Hall (FQH) effect arises from strong electron correlations in a quantising magnetic field, and features exotic emergent phenomena such as electron fractionalisation. Using the diagrammatic Monte Carlo approach with…

Strongly Correlated Electrons · Physics 2026-03-16 Ben Currie , Evgeny Kozik

We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of…

Mesoscale and Nanoscale Physics · Physics 2007-08-15 Vadim V. Ponomarenko , Dmitri V. Averin

The present theory has investigated the FQHE without any quasi-particle. The electric field due to the Hall voltage is taken into consideration. We find the ground state where the electron configuration is uniquely determined so as to have…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 Shosuke Sasaki

A Quantum Antidot electrometer has been used in the first direct observation of the fractionally quantized electric charge. In this paper we report experiments performed on the integer i = 1, 2 and fractional f = 1/3 quantum Hall plateaus…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. J. Goldman , I. Karakurt , Jun Liu , A. Zaslavsky

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

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

In case of a of the heterostructure n-GaAs/AlGaAs with sheet density $n=2 \times 10^{11}$cm$^{-2}$ and mobility $\mu \approx 2 \times 10^6$ cm$^2$/V$\cdot$s with integer and fractional quantum Hall effect (IQHE and FQHE, respectively) we…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 I. L. Drichko , I. Yu. Smirnov , A. V. Suslov , D. R. Leadley

Even-denominator fractional quantum Hall (FQH) states, such as 5/2 and 7/2, have been well known in a two-dimensional electron gas (2DEG) for decades and are still investigated as candidates of non-Abelian statistics. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2019-09-27 Hailong Fu , Yijia Wu , Ruoxi Zhang , Jian Sun , Pujia Shan , Pengjie Wang , Zheyi Zhu , L. N. Pfeiffer , K. W. West , Haiwen Liu , X. C. Xie , Xi Lin

Disorder and electron-electron interaction play essential roles in the physics of electron systems in condensed matter. In two-dimensional, quantum Hall systems, extensive studies of disorder-induced localization have led to the emergence…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 P. T. Madathil , K. A. Villegas Rosales , C. T. Tai , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Studies of electronic interferometers, based on edge channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges.These studies…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Itamar Sivan , Hyungkook Choi , Amir Rosenblatt , Jinhong Park , Yuval Gefen , Diana Mahalu , Vladimir Umansky

We report an experimental investigation of fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu$ = 1/2 in very high quality wide GaAs quantum wells, and at very high magnetic fields up to 45 T. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 J. Shabani , Y. Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin