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We study theoretically the dispersion of a single quasiparticle or quasihole of the fractional quantum Hall effect, obtained by injecting or removing a composite fermion. By comparing to a free fermion system, we estimate the regime of…

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

We propose a theory for the new effects recently observed by Willett et al [1] in the magnetoresistance of a weakly modulated two dimensional electron gas near filling factor 1/2. Minima in transverse magnetoresistance and maxima in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nataliya A. Zimbovskaya , Joseph L. Birman

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 consider the problem of Bosonic particles interacting repulsively in a strong magnetic field at the filling factor $\nu =1.$ We project the system in the Lowest Landau Level and map the dynamics into an interacting Fermion system. We…

Condensed Matter · Physics 2007-05-23 V. Pasquier

We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the {\it…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

The composite-fermion approach as formulated in the fermion Chern-Simons theory has been very successful in describing the physics of the lowest Landau level near Landau level filling factor 1/2. Recent work has emphasized the fact that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Steven H. Simon , Ady Stern

We consider the self-energy and quasiparticle spectrum, for both electrons interacting with phonons, and composite fermions interacting with gauge fluctuations. In both cases we incorporate the singular structure arising from Landau level…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Curnoe , P. C. E. Stamp

Dynamical Hall conductivity {\sigma}_H({\omega}) of a 2D electron gas with impurities in the perpendicular magnetic field is analyzed. Plateau-like behavior at low frequencies as well as at high frequencies provided the complete filling of…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Zhyrair Gevorkian , Vadim Farztdinov , Yurii Lozovik

We have analyzed the effects of the anisotropic energy bands of phosphorene on magnetoroton branches for electrons and holes in the two Landau levels close to the band edges. We have found that the fractional quantum Hall effect gap in the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

A quantum Hall system which is divided into two laterally coupled subsystems by means of a tunneling barrier exhibits a complex Landau level dispersion. Magnetotunneling spectroscopy is employed to investigate the small energy gaps which…

Mesoscale and Nanoscale Physics · Physics 2008-02-05 Matthias Habl , Werner Wegscheider

We develop a systematic theory of microwave-induced oscillations in magnetoresistivity of a 2D electron gas in the vicinity of fractional harmonics of the cyclotron resonance, observed in recent experiments. We show that in the limit of…

Mesoscale and Nanoscale Physics · Physics 2007-11-28 I. A. Dmitriev , A. D. Mirlin , D. G. Polyakov

We analyze the linear response of a half filled Landau level to long wavelength and low frequency driving forces, using Fermi liquid theory for composite fermions. This response is determined by the composite fermions quasi--particle…

Condensed Matter · Physics 2009-10-28 Ady Stern , Bertrand I. Halperin

For quantum Hall systems, in the limit of large magnetic field (or equivalently small electron band mass $m_b$), the static response of electrons to a spatially varying magnetic field is largely determined by kinetic energy considerations.…

Condensed Matter · Physics 2009-10-28 Steven H. Simon , Ady Stern , Bertrand I. Halperin

We develop a microscopic formalism to study the fractional quantum Hall plateaus at filling factors $\nu $ away from $1/2\beta$ $\beta$ an integer. The theory is in terms of quasiparticles which carry a charge $e^{\ast}$ equal to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Pasquier

When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vito W. Scarola , Kwon Park , J. K. Jain

We consider Coulomb drag between two layers of two-dimensional electron gases subject to a strong magnetic field, with the Landau level filling factor in each layer being 1/2. We find $\rho_D$ to be very large, as compared to the zero…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ady Stern , Iddo Ussishkin

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential disorder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties…

Condensed Matter · Physics 2015-06-25 X. C. Xie , D. Z. Liu , J. K. Jain

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We consider a two dimensional electron system in an external magnetic field at and near an even denominator Landau level filling fraction. Using a fermionic Chern--Simons approach we study the description of the system's low energy…

Condensed Matter · Physics 2009-10-28 Ady Stern , Bertrand I. Halperin

Motivated by recent experiments that reveal expansive fractional quantum Hall states in the $n=1$ graphene Landau level and suggest a nontrivial role of the spin degree of freedom [Amet {\em et al.}, Nat. Common. {\bf 6}, 5838 (2014)], we…

Strongly Correlated Electrons · Physics 2018-02-20 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain