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Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau level filling of $\nu=1/m$ ($m$: odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly…

Condensed Matter · Physics 2009-10-28 T. Nakajima , H. Aoki

In this work, we exploit the findings of the screening theory of the integer quantized Hall effect (QHE) based on the formation of the incompressible strips and its essential influence on the global resistances and propose certain…

Mesoscale and Nanoscale Physics · Physics 2010-04-09 U. Erkarslan , G. Oylumluoglu , A. Siddiki

Electron-electron interactions in half-filled high Landau levels in two-dimensional electron gases in a strong perpendicular magnetic field can lead to states with anisotropic longitudinal resistance. This longitudinal resitance is…

Strongly Correlated Electrons · Physics 2012-02-17 Peter M. Smith , Malcolm P. Kennett

We study many-body ground states for the partial integer fillings of the $N=1$ Landau level in graphene, by constructing a model that accounts for the lattice scale corrections to the Coulomb interactions. Interestingly, in contrast to the…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Nikolaos Stefanidis , Inti Sodemann Villadiego

Experimental and theoretical investigations on the integer quantized Hall effect in gate defined narrow Hall bars are presented. At low electron mobility the classical (high temperature) Hall resistance line RH(B) cuts through the center of…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 A. Siddiki , J. Horas , J. Moser , W. Wegscheider , S. Ludwig

The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Siddiki , A. E. Kavruk , T. Ozturk , U. Atav M. Sahin , T. Hakioglu

Equilibration of quantum Hall edges is studied in a high quality dual gated bilayer graphene device in both unipolar and bipolar regime when all the degeneracies of the zero energy Landau level are completely lifted. We find that in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chandan Kumar , Saurabh Kumar Srivastav , Anindya Das

In recent interference experiments with an electronic Fabry-Perot interferometer (FPI), implemented in the integer quantum Hall effect regime, a flux periodicity of $h/2e$ was observed at bulk fillings $\nu_B>2.5$. The halved periodicity…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 I. Sivan , R. Bhattacharyya , H. K. Choi , M. Heiblum , D. E. Feldman , D. Mahalu , V. Umansky

The quantum-Hall-effect (QHE) occurs in topologically-ordered states of two-dimensional (2d) electron-systems in which an insulating bulk-state coexists with protected 1d conducting edge-states. Owing to a unique topologically imposed…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Guohong Li , Adina Luican , Dmitry Abanin , Leonid Levitov , Eva Y. Andrei

Despite the success of Landau-level theory and edge-state transport formalisms, a direct microscopic link between bulk quantization and the observed hierarchy of quantum Hall plateaus has not been established. In particular, no unified…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 Pedro Pereyra

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

We present the essential findings of the screening theory of the integer quantum Hall effect (IQHE) considering a quantum point contact (QPC). Our approach is to solve the Poisson and the Schroedinger equations self-consistently, taking…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Siddiki

We introduce a generic approach to study interaction effects in diffusive or chaotic quantum dots in the Coulomb blockade regime. The randomness of the single-particle wave functions induces randomness in the two-body interaction matrix…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. Alhassid , H. A. Weidenmueller , A. Wobst

Recent experiments involving tilted graphene samples have shown evidence of a continuous phase transition in the $\nu=0$ quantum Hall bulk state. We present here a simple model that supports such a transition. In addition to a long range…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 B. R. Feshami , H. A. Fertig

On the basis of energy calculations we investigate the competition between quantum-liquid and electron-solid phases in the Landau levels n=1,2, and 3 as a function of their partial filling factor. Whereas the quantum-liquid phases are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

Charge equilibration between quantum-Hall edge states can be studied to reveal geometric structure of edge channels not only in the integer quantum Hall (IQH) regime but also in the fractional quantum Hall (FQH) regime particularly for…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chaojing Lin , Ryota Eguchi , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

We study the quantum self-organization of interacting particles in one-dimensional(1D) many-body systems, modeled via Hubbard chains with short-range interactions between the particles. We show the emergence of 1D states with density-wave…

Strongly Correlated Electrons · Physics 2021-04-06 Ioannis Kleftogiannis , Ilias Amanatidis

We investigate the energy exchanges along an electronic quantum channel realized in the integer quantum Hall regime at filling factor $\nu_L=2$. One of the two edge channels is driven out-of-equilibrium and the resulting electronic energy…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 H. le Sueur , C. Altimiras , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

We observe fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu=1/2$ in two-dimensional hole systems confined to GaAs quantum wells of width 30 to 50 nm and having bilayer-like charge distributions.…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Yang Liu , A. L. Graninger , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke