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The two dimensional system of electrons in a high magnetic field offers an opportunity to investigate a phase transition from a quantum liquid into a Wigner solid. Recent experiments have revealed an incipient composite fermion liquid in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sudhansu S. Mandal , Michael R. Peterson , Jainendra K. Jain

We study the off-diagonal current fluctuation in a macroscopic quantum system measured in an ideal manner that is as close as possible to the classical ideal measurement. We show rigorously that not only extended but also localized states…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Kentaro Kubo , Kenichi Asano , Akira Shimizu

Particle-hole symmetry in the lowest Landau level of the two-dimensional electron gas requires the electrical Hall conductivity to equal $\pm e^2/2h$ at half-filling. We study the consequences of weakly broken particle-hole symmetry for…

Strongly Correlated Electrons · Physics 2017-06-16 Alfred K. C. Cheung , S. Raghu , Michael Mulligan

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

We have gone through a detailed calculation of the two-point correlation function of vector currents at finite density and magnetic field by employing the real time formalism of finite temperature field theory and Schwinger's proper time…

High Energy Physics - Phenomenology · Physics 2022-08-10 Sarthak Satapathy , Snigdha Ghosh , Sabyasachi Ghosh

We calculate frequencies of collective oscillations of two-component Fermi gas that is kept on the repulsive branch of its energy spectrum. Not only is a paramagnetic phase explored, but also a ferromagnetically separated one. Both in-, and…

Starting from the basic Landau model for the incommensurate-commensurate materials of the class II, we derive the spectrum of collective modes for all (meta)stable states from the corresponding phase diagram. It is shown that all…

Materials Science · Physics 2007-05-23 V. Dananic , A. Bjelis , M. Latkovic

This work establishes the algebraic structure of the Kohn-Sham equations to be solved in a density formulation of electron and phonon dynamics, including the superconducting order parameter. A Bogoliubov transform is required to diagonalize…

Superconductivity · Physics 2018-03-21 Chung-Yu Wang , T. Müller , Sangeeta Sharma , E. K. U. Gross , J. K. Dewhurst

We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the…

Condensed Matter · Physics 2009-10-22 J. K. Jain , T. Kawamura

Electron dynamics in external electric fields governs the behavior of solid-state electronic devices. First-principles calculations enable precise predictions of charge transport in low electric fields. However, studies of high-field…

Materials Science · Physics 2021-09-29 Ivan Maliyov , Jinsoo Park , Marco Bernardi

We present a theory of composite fermion edge states and their transport properties in the fractional and integer quantum Hall regimes. We show that the effective electro-chemical potentials of composite fermions at the edges of a Hall bar…

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

We present theoretical calculations for the cyclotron resonance and various magnetoplasmon modes of a Coulomb interacting two-dimensional GaAs electron gas (2DEG) modulated as a lateral superlattice of quantum dots subjected to an external…

Mesoscale and Nanoscale Physics · Physics 2022-04-12 Vidar Gudmundsson , Vram Mughnetsyan , Nzar Rauf Abdullah , Chi-Shung Tang , Valeriu Moldoveanu , Andrei Manolescu

We consider the excitonic correlations in the two band solid state system composed of the valence band and conduction band electrons. We treat the phase coherence mechanism in the system by presenting the electron operator as a fermion…

Strongly Correlated Electrons · Physics 2016-10-03 V. Apinyan , T. K. Kopeć

We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current…

High Energy Physics - Theory · Physics 2011-07-19 J. Froehlich , R. Goetschmann , P. A. Marchetti

Via the application of parallel magnetic field, we induce a single-layer to bilayer transition in two-dimensional electron systems confined to wide GaAs quantum wells, and study the geometric resonance of composite fermions (CFs) with a…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 M. A. Mueed , D. Kamburov , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The electron-positive fermion gas in three dimensions and $T=0$ is modeled as two independent fermion gases interacting via the coulomb interaction. The main advantage of the simple model is that all existing results from the electron gas…

Superconductivity · Physics 2024-11-27 Carl A. Kukkonen

The nonequilibrium real-time dynamics of electron coherence is explored in the quantum transport through the double-dot Aharonov-Bohm interferometers. We solve the exact master equation to find the exact quantum state of the device, from…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 Matisse Wei-Yuan Tu , Wei-Min Zhang , Jinshuang Jin

In several two-dimensional films that exhibit a magnetic field-tuned superconductor to insulator transition (SIT), stable metallic phases have been observed. Building on the `dirty boson' description of the SIT, we suggest that the metallic…

Strongly Correlated Electrons · Physics 2016-05-18 Michael Mulligan , S. Raghu

We study the two-dimensional electron gas in a magnetic field at filling fraction $\nu=\frac{1}{2}$. At this filling the system is in a gapless state which can be interpreted as a Fermi liquid of composite fermions. We construct trial wave…

Strongly Correlated Electrons · Physics 2018-01-24 M. Fremling , N. Moran , J. K. Slingerland , S. H. Simon

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
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