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The integer quantum Hall effect features a paradigmatic quantum phase transition. Despite decades of work, experimental, numerical, and analytical studies have yet to agree on a unified understanding of the critical behavior. Based on a…

Disordered Systems and Neural Networks · Physics 2021-06-30 Martin Puschmann , Philipp Cain , Michael Schreiber , Thomas Vojta

We consider the dynamical properties of simple edge states in integer ($\nu = 1$) and fractional ($ \nu = 1/2m+1$) quantum Hall (QH) liquids. The influence of a time-dependent local perturbation on the ground state is investigated. It is…

Condensed Matter · Physics 2009-10-28 A. V. Balatsky , S. I. Matveenko

We report the first unambiguous observation of a fractional quantum Hall state in the Landau level of a two-dimensional hole sample at the filling factor $\nu=8/3$. We identified this state by a quantized Hall resistance and an activated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. Kumar , N. Samkharadze , M. J. Manfra , G. A. Csathy , L. N. Pfeiffer , K. W. West

The transition from partial to complete spin polarization of two-dimensional electrons at half filling of the lowest Landau level has been studied using resistively-detected nuclear magnetic resonance (RDNMR). The nuclear spin-lattice…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. A. Tracy , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We report on numerical simulations of the intrinsic spin Hall effect in semiconductor quantum wires as a function of the Rashba spin-orbit coupling strength, the electron density, and the width of the wire. We find that the strength of the…

Mesoscale and Nanoscale Physics · Physics 2014-03-18 A. W. Cummings , R. Akis , D. K. Ferry

We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing in a random intrachannel potential; the channels represent either two Landau levels or two spin states. We consider…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 V. Kagalovsky , B. Horovitz , Y. Avishai

We use spin-density-functional theory to study recently reported hysteretic magnetoresistance \rho_{xx} spikes in Mn-based 2D electron gases [Jaroszy\'{n}ski et al. Phys. Rev. Lett. (2002)]. We find hysteresis loops in our calculated Landau…

Mesoscale and Nanoscale Physics · Physics 2007-07-13 Henrique J. P. Freire , J. Carlos Egues

Motivated by the quantum hall effect, we study N two dimensional interacting fermions in a large magnetic field limit. We work in a bounded domain, ensuring finite degeneracy of the Landau levels. In our regime, several levels are fully…

Mathematical Physics · Physics 2024-11-22 Denis Périce

Both quantum spin Hall and quantum anomalous Hall states are novel states of quantum matter with promising applications. We propose junction quantum wells comprising II-VI, III-V or IV semiconductors as a large class of new materials…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 Haijun Zhang , Yong Xu , Jing Wang , Shou-Cheng Zhang

Motivated by the discovery of extremely low energy collective modes in the fractional quantum Hall effect (Kang, Pinczuk {\em et al.}), with energies below the Zeeman energy, we study theoretically the spin reversed excitations for…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , J. K. Jain

We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu=3/8$. The physics of the incompressible state proposed here involves p-wave pairing of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , J. K. Jain , E. H. Rezayi

The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

We report on the fractional quantum Hall states of germanene and silicene where one expects a strong spin-orbit interaction. This interaction causes an enhancement of the electron-electron interaction strength in one of the Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Vadym M. Apalkov , Tapash Chakraborty

We study spin-resolved transport in a ballistic quantum dot with Rashba spin-orbit coupling, focusing on charge-to-spin conversion and spin Hall effect. In the regime where the dot size is comparable to the Fermi wavelength, we identify a…

We report an unexpected sharp peak in the temperature dependence of the magnetoresistance of the reentrant integer quantum Hall states in the second Landau level. This peak defines the onset temperature of these states. We find that in…

Strongly Correlated Electrons · Physics 2015-05-30 N. Deng , A. Kumar , M. J. Manfra , L. N. Pfeiffer , K. W. West , G. A. Csáthy

We report tilted-field magnetotransport measurements of two-dimensional electron systems in a 200 Angstrom-wide Al(0.13)Ga(0.87)As quantum well. We extract the energy gap for the quantum Hall state at Landau level filling \nu =1 as a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. P. Shukla , M. Shayegan , S. R. Parihar , S. A. Lyon , N. R. Cooper , A. A. Kiselev

We investigate the properties of a two-dimensional quantum ring under rotating and external magnetic field effects. We initially analyse the Landau levels and inertial effects on them. Among the results obtained, we emphasize that the…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Luís Fernando C. Pereira , Edilberto O. Silva

We report magnetotransport measurements of fractional quantum Hall states in an AlAs quantum well around Landau level filling factor nu = 3/2, demonstrating that the quasiparticles are composite Fermions (CFs) with a valley degree of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. C. Bishop , M. Padmanabhan , K. Vakili , Y. P. Shkolnikov , E. P. De Poortere , M. Shayegan

Reentrant integer quantum Hall (RIQH) states are believed to be correlated electron solid phases, though their microscopic description remains unclear. As bias current increases, longitudinal and Hall resistivities measured for these states…

Mesoscale and Nanoscale Physics · Physics 2016-05-31 Alexander V. Rossokhaty , Silvia Lüscher , Joshua A. Folk , John D. Watson , Geoffrey C. Gardner , Michael J. Manfra