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We establish the consistency of the Fermi liquid description and find a relation between Fermi liquid constants for the two dimensional electron system near the point of full polarization due to a parallel magnetic field $H$. Our results…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 G. Zala , B. N. Narozhny , I. L. Aleiner , Vladimir I. Fal'ko

Effects of electron correlation on the Fermi surface is investigated for the two-dimensional Hubbard model by the quantum Monte Carlo method. At first, an infinitesimal doping from the half filling is focused on and the momentum dependent…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Otsuka , Y. Morita , Y. Hatsugai

Fractional quantum Hall states in bilayer system at total filling fraction $\nu=1/2$ are examined numerically under some ranges of the layer separation and interlayer tunneling. It is shown that the ground state changes continuously from…

Mesoscale and Nanoscale Physics · Physics 2010-06-23 Kentaro Nomura , Daijiro Yoshioka

A standing problem in low dimensional electron systems is the nature of the 5/2 fractional quantum Hall state: its elementary excitations are a focus for both elucidating the state's properties and as candidates in methods to perform…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. L. Willett , L. N. Pfeiffer , K. W. West

We report experimental studies of disorder-induced transitions between quantum-Hall, metallic, and insulating states in a very dilute two-dimensional electron system in silicon at a magnetic field corresponding to Landau level filling…

Condensed Matter · Physics 2009-10-28 J. E. Furneaux , S. V. Kravchenko , Whitney Mason , G. E. Bowker , V. M. Pudalov

The physics of the fractional quantum Hall effect is the physics of interacting electrons confined to a macroscopically degenerate Landau level. In this Chapter we discuss the theory of the quantum Hall effect in systems where the electrons…

Condensed Matter · Physics 2007-05-23 S. M. Girvin , A. H. MacDonald

Recently, we have suggested Fermi-liquid - non-Fermi-liquid angular crossovers which may exist in quasi-one-dimensional (Q1D)conductors in high tilted magnetic fields [see A.G. Lebed, Phys. Rev. Lett. $\textbf{115}$, 157001 (2015).] All…

Strongly Correlated Electrons · Physics 2018-05-16 Andrei G. Lebed

We present observations of an anisotropic resistance state at Landau level filling factor $\nu=5/2$ in a two-dimensional hole system (2DHS), which occurs for certain values of hole density $p$ and average out-of-plane electric field…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 A. F. Croxall , F. Sfigakis , J. Waldie , I. Farrer , D. A. Ritchie

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

We construct an explicit duality between the interacting quantum Hall system in the lowest Landau level and a non-interacting Landau problem. This is done by absorbing the interaction into the gauge field in the form of an effective…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J N Kriel , F G Scholtz

We investigate the properties of the finite frequency noise in a quantum point contact geometry for the fractional quantum Hall state at filling factor $\nu=2/5$. The results are obtained in the framework of the Wen's hierarchical model. We…

Strongly Correlated Electrons · Physics 2014-09-26 D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

We have measured magnetic field dependences of the attenuation and velocity of surface acoustic waves in a high-mobility $n$-GaAs/AlGaAs structure with a wide quantum well. The results allowed us to find the complex conductance,…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 I. L. Drichko , I. Yu. Smirnov , A. V. Suslov , L. N. Pfeiffer , K. W. West , Y. M. Galperin

A low energy action for double-layer quantum Hall systems at filling fractions $\nu = 2/m$ ($m$ an odd integer) is introduced. Interlayer antiferromagnetic exchange induces a phase with canted spin order, and also a spin-singlet phase.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Das Sarma , Subir Sachdev , Lian Zheng

Transport measurements under a tilted magnetic field were performed on a series of C-doped (001) AlGaAs/GaAs/AlGaAs two-dimensional hole samples. Due to a large g-factor, Zeeman energy is large and comparable to the cyclotron energy in…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Po Zhang , Ruiyuan Liu , Rui-Rui Du , L. N. Pfeiffer , K. W. West

The activation gap Delta of the fractional quantum Hall state at constant filling n =1/3 is measured in wide range of perpendicular magnetic field B. Despite the full spin polarization of the incompressible ground state, we observe a sharp…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. F. Dethlefsen , E. Mariani , H. -P. Tranitz , W. Wegscheider , R. J. Haug

The quantum-limit Hall effect at $\nu = nh/eB\sim O(1)$ that hosts a variety of exotic quantum phenomena requires demanding strong magnetic field $B$ and low carrier density $n$. We propose to realize quantum-limit Hall effect even in the…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Guang Yang , Yi Zhang

Tunneling measurements on 2D electron gases at high magnetic field reveal a qualitative difference between the two spin sublevels of the lowest Landau level. While the tunneling current-voltage characteristic at filling factor $\nu = 1/2$…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We investigate the tunneling of quasiparticles through a rectangular potential barrier of finite height and width, in 2d and 3d semimetals with band structures consisting of a quadratic band crossing point. We compute the transmission…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Ipsita Mandal

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

We report inelastic light scattering experiments in the fractional quantum Hall regime at filling factors $\nu\lesssim1/3$. A spin mode is observed below the Zeeman energy. The filling factor dependence of the mode energy is consistent with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Gallais , T. H. Kirschenmann , C. F. Hirjibehedin , I. Dujovne , A. Pinczuk , L. N. Pfeiffer , K. W. West