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We investigate the ground state properties of fractional quantum Hall effect at the filling factor $\nu=2/3$ and $2+2/3$, with a special focus on their typical edge physics. Via topological characterization scheme in the framework of…

Strongly Correlated Electrons · Physics 2022-05-04 Liangdong Hu , W. Zhu

We examine charge correlations and instabilities in the pseudogap phase of high-$T_c$ cuprates modeled by $d$-density wave ordering. The latter has a gap symmetry similar to the one observed in the $d$-wave superconductor. We use $t$-$J$…

Strongly Correlated Electrons · Physics 2023-10-17 Dheeraj Kumar Singh , Yunkyu Bang

We present results of a study of double layer quantum Hall systems in which each layer has a high-index Landau level that is half-filled. Hartree-Fock calculations indicate that, above a critical layer separation, the system becomes…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Brey , H. A. Fertig

New low-lying excitations are observed by inelastic light scattering at filling factors $\nu=p/(\phi p \pm 1)$ of the fractional quantum Hall regime with $\phi=4$. Coexisting with these modes throughout the range $\nu \leq 1/3$ are $\phi=2$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Hirjibehedin , A. Pinczuk , B. S. Dennis , L. N. Pfeiffer , K. W. West

We study the $\nu={\pm}1/2$ fractional quantum Hall states in graphene observed by Zibrov et al. [Nat. Phys. 14, 930 (2018)]. The parton construction is employed to provide a valley unpolarized trial wave function for these states. The…

Strongly Correlated Electrons · Physics 2022-10-19 Ying-Hai Wu

The existence of fractional charges carrying the current is experimentally demonstrated. Using a 2-D electron system in high magnetic field, we measure the shot noise associated with tunneling in the fractional quantum Hall regime at Landau…

Condensed Matter · Physics 2009-10-30 L. Saminadayar , D. C. Glattli , Y. Jin , B. Etienne

The effects of impurity scattering on a general Abelian fractional quantum Hall (FQH) edge state are analyzed within the chiral-Luttinger-liquid model of low-energy edge dynamics. We find that some disordered edges can have several…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Joel E. Moore , Xiao-Gang Wen

We investigate the 1/3 fractional quantum Hall state with one and two quasiparticle excitations. It is shown that the quasiparticle excitations are best described as excited composite fermions occupying higher composite-fermion quasi-Landau…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gun Sang Jeon , Jainendra K. Jain

The energy spectra and wavefunctions of up to 14 interacting quasielectrons (QE's) in the Laughlin nu=1/3 fractional quantum Hall (FQH) state are investigated using exact numerical diagonalization. It is shown that at sufficiently high…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , Kyung-Soo Yi , John J. Quinn

We report the observation of a fully developed fractional quantum Hall state at $\nu=5/2$ in GaAs/Al$_{x}$Ga$_{1-x}$As quantum wells with mobility well below $10^{7}$\thinspace cm$^{2}$/Vs. This is achieved either by strong illumination or…

Mesoscale and Nanoscale Physics · Physics 2013-08-21 Gerardo Gamez , Koji Muraki

Heat transport has large potentialities to unveil new physics in mesoscopic systems. A striking illustration is the integer quantum Hall regime, where the robustness of Hall currents limits information accessible from charge transport.…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

We experimentally study equilibration between edge states, co-propagating at the edge of the fractional quantum Hall liquid, at high initial imbalances. We find an anomalous increase of the conductance between the fractional edge states at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Deviatov , A. A. Kapustin , V. T. Dolgopolov , A. Lorke , D. Reuter , A. D. Wieck

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

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

We propose noise oscillation measurements in a double point contact, accessible with current technology, to seek for a signature of the non-abelian nature of the \nu=5/2 quantum Hall state. Calculating the voltage and temperature dependence…

Mesoscale and Nanoscale Physics · Physics 2008-04-09 Eddy Ardonne , Eun-Ah Kim

We study quench dynamics of bosonic fractional quantum Hall systems in small lattices with cylindrical boundary conditions and low particle density. The states studied have quasiholes or quasiparticles relative to the bosonic Laughlin state…

Mesoscale and Nanoscale Physics · Physics 2024-02-12 Xikun Li , Błażej Jaworowski , Masudul Haque , Anne E. B. Nielsen

We explore the heat current in the quantum Hall edge at filling factors $\nu = 1$ and $\nu = 2$ in the presence of dissipation. Dissipation arises in the compressible strip forming at the edge in presence of a smooth confining potential.…

Mesoscale and Nanoscale Physics · Physics 2019-08-06 Anna Goremykina , Artem Borin , Eugene Sukhorukov

The electronic states in a corner-overgrown bent GaAs/AlGaAs quantum well heterostructure are studied with numerical Hartree simulations. Transmission electron microscope pictures of the junction justify the sharp-corner assumption. In a…

A periodically driven quantum Hall system in a fixed magnetic field is found to exhibit a series of phases featuring anomalous edge modes with the "wrong" chirality. This leads to pairs of counter-propagating chiral edge modes at each edge,…

Quantum Gases · Physics 2014-01-17 Mahmoud Lababidi , Indubala I. Satija , Erhai Zhao

The frictionless, directional propagation of particles at the boundary of topological materials is one of the most striking phenomena in transport. These chiral edge modes lie at the heart of the integer and fractional quantum Hall effects,…