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We use a fully self-consistent laterally resolved Hartree-Fock approximation for numerically addressing the electron configurations at higher Landau levels in the quantum Hall regime for near-macroscopic sample sizes. Our results give…

强关联电子 · 物理学 2020-10-07 Josef Oswald , Rudolf A. Römer

We study the spin-dependent transport of spin-1/2 electrons through an interferometer made of two elongated quantum dots or quantum nanowires, which are subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus) spin-orbit…

介观与纳米尺度物理 · 物理学 2013-12-17 Shlomi Matityahu , Amnon Aharony , Ora Entin-Wohlman , Seigo Tarucha

Using an atomic force microscope as a local voltmeter, we measure the Hall voltage profile in a 2D electron gas in the quantum Hall (QH) regime. We observe a linear profile in the bulk of the sample in the transition regions between QH…

介观与纳米尺度物理 · 物理学 2009-10-31 Kent L. McCormick , Michael T. Woodside , Mike Huang , Mingshaw Wu , Paul McEuen , Cem Duruoz , J. S. Harris

New trial wave functions corresponding to half filling quantum Hall states are proposed. These wave functions are constructed by first pairing up the quasielectrons of the 1/3 Laughlin quantum Hall state, with the same relative angular…

强关联电子 · 物理学 2011-12-21 Jian Yang

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic…

介观与纳米尺度物理 · 物理学 2022-05-18 Tom Morel , June-Young M. Lee , H. -S. Sim , Christophe Mora

The tunneling rate of fractional charge across a Laughlin state on the cylinder is computed numerically. The decay with strip width Y is fitted to exp[- a (Y/ l)**2/12] where l is the Landau length, and a is approximately 1.0. This rate is…

介观与纳米尺度物理 · 物理学 2008-02-03 Assa Auerbach

Existing techniques for synthesizing gauge fields are able to bring a two-dimensional cloud of harmonically trapped bosonic atoms into a regime where the occupied single-particle states are restricted to the lowest Landau level (LLL).…

量子气体 · 物理学 2012-12-04 Tobias Graß , Bruno Juliá-Díaz , Maciej Lewenstein

We compare the energies of different electron solids, such as bubble crystals with triangular and square symmetry and stripe phases, to those of correlated quantum liquids in partially filled intermediate Landau levels. Multiple transitions…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

Here, we report on our results where self-consistent calculations are performed to investigate the interference conditions, numerically. We employ the successful 4$^{th}$ order grid technique to obtain the actual electrostatic quantities of…

介观与纳米尺度物理 · 物理学 2010-03-16 E. Cicek , A. Siddiki

When an electron is confined to a triangular atomic thick layer of graphene [1-5] with zig-zag edges, its energy spectrum collapses to a shell of degenerate states at the Fermi level (Dirac point) [6-9]. The degeneracy is proportional to…

材料科学 · 物理学 2013-05-29 A. D. Guclu , P. Potasz , O. Voznyy , M. Korkusinski , P. Hawrylak

We propose a device consisting in an antidot periodically driven in time by a magnetic field as a fractional quantum Hall counterpart of the celebrated mesoscopic capacitor-based single electron source. We fully characterize the setup as an…

介观与纳米尺度物理 · 物理学 2015-07-22 D. Ferraro , J. Rech , T. Jonckheere , T. Martin

We investigate the possibility of an electromechanical which-path interferometer, in which electrons travelling through an Aharonov-Bohm ring incorporating a quantum dot in one of the arms are dephased by an interaction with the fundamental…

介观与纳米尺度物理 · 物理学 2009-11-07 A. D. Armour , M. P. Blencowe

We show that electron wave functions in a quasi-two-dimensional conductor in a parallel magnetic field are always localized on conducting layers. Wave functions and electron spectrum in a quantum limit, where the "sizes" of quasi-classical…

超导电性 · 物理学 2009-11-10 Andrei G. Lebed , Natalia N. Bagmet

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…

介观与纳米尺度物理 · 物理学 2023-02-08 Hailong Fu , Ke Huang , Kenji Watanabe , Takashi Taniguchi , Morteza Kayyalha , Jun Zhu

We use spin-density-functional theory within an envelope function approach to calculate electronic states in a GaAs/InAs core-shell nanowire pierced by an axial magnetic field. Our fully 3D quantum modeling includes explicitly the…

介观与纳米尺度物理 · 物理学 2015-03-31 Miquel Royo , Carlos Segarra , Andrea Bertoni , Guido Goldoni , Josep Planelles

Few-electron systems confined in a quantum dot laterally coupled to a surrounding quantum ring in the presence of an external magnetic field are studied by exact diagonalization. The distribution of electrons between the dot and the ring is…

介观与纳米尺度物理 · 物理学 2009-11-10 B. Szafran , F. M. Peeters , S. Bednarek

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…

介观与纳米尺度物理 · 物理学 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

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

介观与纳米尺度物理 · 物理学 2007-05-23 Emiliano Papa , Tilo Stroh

We compute the interference pattern of a Mach-Zehnder interferometer operating in the fractional quantum Hall effect. Our theoretical proposal is inspired by a remarkable experiment on edge states in the Integer Quantum Hall effect (IQHE).…

介观与纳米尺度物理 · 物理学 2007-05-23 Thibaut Jonckheere , Pierre Devillard , Adeline Crepieux , Thierry Martin

We study nonequilibrium properties of an electronic Mach-Zehnder interferometer built from integer quantum Hall edge states at filling fraction $\nu{=}1$. For a model in which electrons interact only when they are inside the interferometer,…

介观与纳米尺度物理 · 物理学 2009-10-27 D. L. Kovrizhin , J. T. Chalker