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We present a mean field theory of composite fermion edge channel transport in the fractional and integer quantum Hall regimes. An expression relating the electro-chemical potentials of composite fermions at the edges of a sample to those of…

Condensed Matter · Physics 2009-10-28 George Kirczenow , Brad L. Johnson

Impacts of domain textures on low-lying neutral excitations in the bulk of fractional quantum Hall effect (FQHE) systems are probed by resonant inelastic light scattering. We demonstrate that large domains of quantum fluids support…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Ziyu Liu , Ursula Wurstbauer , Lingjie Du , Ken W. West , Loren N. Pfeiffer , Michael J. Manfra , Aron Pinczuk

We develop a theory of the non-equilibrium current response for metallic systems near quantum critical points where electronic quasiparticles fractionalize, such as systems near continuous metal-insulator transitions or composite Fermi…

Strongly Correlated Electrons · Physics 2025-10-01 Adarsh S. Patri , Josephine J. Yu , Yi-Ming Wu , T. Senthil , Hart Goldman

Finite frequency current noise is studied theoretically for a 1D electron system in presence of a scatterer. In contrast to zero frequency shot noise, finite frequency noise shows spatial oscillations at high frequencies with wavelength…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Trauzettel , H. Grabert

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

We present activation gap measurements of the fractional quantum Hall effect (FQHE) in the second Landau level. Signatures for 14 (5) distinct incompressible FQHE states are seen in a high (low) mobility sample with the enigmatic 5/2 even…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 H. C. Choi , W. Kang , S. Das Sarma , L. N. Pfeiffer , K. W. West

The electrodynamical response of the edge of a compressible Quantum Hall system affects tunneling into the edge. Using the composite Fermi liquid theory, we derive an effective action for the edge modes interacting with tunneling charge.…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. V. Shytov , B. I. Halperin

We present a theoretical framework to describe the integer quantum Hall effect (IQHE) in three-dimensional (3D) electron systems. This extends our previous single-electron approach, which was successfully applied to two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 M. A. Hidalgo

A point contact in a Luttinger liquid couples the left- and right-moving channels, producing shot noise. We calculate exactly the DC shot noise at zero temperature in the out-of-equilibrium steady state where current is flowing.…

Condensed Matter · Physics 2009-10-28 P. Fendley , A. W. W. Ludwig , H. Saleur

We report an experimental investigation of fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu$ = 1/2 in very high quality wide GaAs quantum wells, and at very high magnetic fields up to 45 T. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 J. Shabani , Y. Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We have made the first phonon absorption measurements in the fractional quantum Hall r\'egime. Experiments have been conducted on two samples which have similar electron densities but greatly differing mobilities. The energy gaps as…

Condensed Matter · Physics 2009-10-22 CJ Mellor , RH Eyles , JE Digby , AJ Kent , KA Benedict , LJ Challis , M Henini , CT Foxon , JJ Harris

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu=2$. Because of the capacitive coupling between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Izhar Neder

We investigate the theory of the fractional quantum Hall effect (QHE) proposed a long time ago by Lopez and Fradkin \cite{Fradkin1991chern} to describe the principal Jain series. The magnetic fluxes of the statistical gauge field attached…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 M. Selch , M. A. Zubkov , Souvik Pramanik , M. Lewkowicz

We study how the stability of the fractional quantum Hall effect (FQHE) is influenced by the geometry of band structure in lattice Chern insulators. We consider the Hofstadter model, which converges to continuum Landau levels in the limit…

Strongly Correlated Electrons · Physics 2016-06-22 T. S. Jackson , David Bauer , Rahul Roy

Motivated by recent experiments with Josephson-junction circuits we reconsider decoherence effects in quantum two-level systems (TLS). On one hand, the experiments demonstrate the importance of 1/f noise, on the other hand, by operating at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Shnirman , Yuriy Makhlin , Gerd Schön

A novel model of complex quantum harmonic oscillator is found to account for the observed Fractional quantum Hall effect (FQHE). The sequences of the observed FQHE conductivity and charge are explained. The two sequences are found to…

Quantum Physics · Physics 2012-05-29 A. I. Arbab

For many implementations of quantum computing, 1/f and other types of broad-spectrum noise are an important source of decoherence. An important step forward would be the ability to back out the characteristics of this noise from qubit…

Quantum Physics · Physics 2011-07-15 Robert Joynt , Dong Zhou , Qiang-Hua Wang

We study tunneling through an edge state formed around an antidot in the fractional quantum Hall regime using Wen's chiral Luttinger liquid theory extended to include mesoscopic effects. We identify a new regime where the Aharonov-Bohm…

Condensed Matter · Physics 2009-10-28 Michael R. Geller , Daniel Loss , George Kirczenow

In the present paper, the Bose-Hubbard model (BHM) with the nearest-neighbor (NN) repulsions is studied from the view point of possible bosonic analogs of the fractional quantum Hall (FQH) state in the vicinity of the Mott insulator (MI).…

Quantum Gases · Physics 2017-01-10 Yoshihito Kuno , Keita Shimizu , Ikuo Ichinose
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