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Detailed measurements of the longitudinal thermopower of two-dimensional electrons in the first excited Landau level are reported. Clear signatures of numerous fractional quantized Hall states, including those at $\nu = 5/2$ and 7/3, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We report on detailed experimental studies of a high-quality heterojunction insulated-gate field-effect transistor (HIGFET) to probe the particle-hole symmetry (PHS) of the FQHE states about half-filling in the lowest Landau level. The…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 W. Pan , W. Kang , M. P. Lilly , J. L. Reno , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We report low temperature electronic transport results on the fractional quantum Hall effect of composite fermions at Landau level filling nu = 4/11 in a very high mobility and low density sample. Measurements were carried out at…

Mesoscale and Nanoscale Physics · Physics 2015-01-14 W. Pan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We investigate, with the help of Monte-Carlo and exact-diagonalization calculations in the spherical geometry, several compressible and incompressible candidate wave functions for the recently observed quantum Hall state at the filling…

Mesoscale and Nanoscale Physics · Physics 2009-09-04 Z. Papic , G. Moller , M. V. Milovanovic , N. Regnault , M. O. Goerbig

I present a new approach to the many-body ground state of quantum-Hall systems. The method describes the behavior of a two-dimensional electron system at all Landau-level filling factors $\nu$, continuously as a function of magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. A. Mikhailov

We study the $\nu=\frac{2}{k+2}$ quantum Hall states which are particle-hole conjugates of the $\nu=\frac{k}{k+2}$ Read-Rezayi states. We find that equilibration between the different modes at the edge of such a state leads to an emergent…

Mesoscale and Nanoscale Physics · Physics 2008-07-02 Waheb Bishara , Gregory A. Fiete , Chetan Nayak

The quantum Hall effect near the charge neutrality point in bilayer graphene is investigated in high magnetic fields of up to 35 T using electronic transport measurements. In the high field regime, the eight-fold degeneracy in the zero…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. Zhao , P. Cadden-Zimansky , Z. Jiang , P. Kim

The edge states in the fractional quantum Hall systems at filling factor $\nu=1/3$ are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge…

Strongly Correlated Electrons · Physics 2021-03-30 Takuya Ito , Naokazu Shibata

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

We report on the quantum Hall effect in two stacked graphene layers rotated by 2 degree. The tunneling strength among the layers can be varied from very weak to strong via the mechanism of magnetic breakdown when tuning the density.…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Youngwook Kim , Pilkyung Moon , Kenji Watanabe , Takashi Taniguchi , Jurgen H. Smet

Until the late 1980s, phases of matter were understood in terms of Landau's symmetry breaking theory. Following the discovery of the quantum Hall effect the introduction of a second class of phases, those with topological order, was…

Strongly Correlated Electrons · Physics 2016-03-09 N. Samkharadze , K. A. Schreiber , G. C. Gardner , M. J. Manfra , E. Fradkin , G. A. Csáthy

We examine the magnetic field driven insulator-quantum Hall-insulator transitions of the two dimensional hole gas in a Ge/SiGe quantum well. We observe direct transitions between low and high magnetic field insulators and the $\nu=1$…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Hilke , D. Shahar , S. H. Song , D. C. Tsui , Y. H. Xie , Don Monroe

High-field magnetotransport experiments provide an excellent tool to investigate the plateau-insulator phase transition in the integral quantum Hall effect. Here we review recent low-temperature high-field magnetotransport studies carried…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. de Visser , L. A. Ponomarenko , G. Galistu , D. T. N. de Lang , A. M. M. Pruisken , U. Zeitler , D. Maude

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sora Cho , Matthew P. A. Fisher

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

Magnetotransport measurements are presented on paramagnetic (Hg,Mn)Te quantum wells (QWs) with an inverted band structure. Gate-voltage controlled density dependent measurements reveal an unusual behavior in the transition regime from n- to…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 A. Budewitz , K. Bendias , P. Leubner , T. Khouri , S. Shamim , S. Wiedmann , H. Buhmann , L. W. Molenkamp

Bilayer graphene exhibits a rich phase diagram in the quantum Hall regime, arising from a multitude of internal degrees of freedom, including spin, valley, and orbital indices. The variety of fractional quantum Hall states between filling…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Udit Khanna , Ke Huang , Ganpathy Murthy , H. A. Fertig , Kenji Watanabe , Takashi Taniguchi , Jun Zhu , Efrat Shimshoni

We studied neutral excitations in a two-dimensional electron system with an orbital momentum $\Delta M = 1$ and spin projection over magnetic field axis $\Delta S_z = 1$ in the vicinity of a filling factor of 3/2. It is shown that the 3/2…

Strongly Correlated Electrons · Physics 2020-07-29 L. V. Kulik , V. A. Kuznetsov , A. S. Zhuravlev , V. Umansky , I. V. Kukushkin

Work by Mandal and Jain [S. S. Mandal and J. K. Jain, Solid State Commun. 118, 503 (2001)] suggests that interaction induced mixing with the second composite fermion Landau level can lead to renormalization of the electron correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mats Horsdal

A bilayer electron system in a strong magnetic field at low temperatures, with total Landau level filling factor nu =1, can enter a strongly coupled phase, known as the (111) phase or the quantum Hall pseudospin-ferromagnet. In this phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. I. Halperin , Ady Stern , S. M. Girvin
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