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A disorder-averaged Hartree-Fock treatment is used to compute the density of single particle states for quantum Hall systems at filling factor $\nu=1$. It is found that transport and spin polarization experiments can be simultaneously…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ganpathy Murthy

Numerical results are presented for the spin excitations of a two-dimensional electron gas confined to a quantum well of width w. Spin waves and charged skyrmion excitations are studied for filling factors nu=1, 3, and 1/3. Phase diagrams…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arkadiusz Wojs , John J. Quinn

We theoretically study the quantized anomalous Hall effect (QAHE) in skyrmion crystal (SkX) without external magnetic field. The emergent magnetic field in SkX could be gigantic as much as $\sim4000$T when its lattice constant is $\sim1$nm.…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Keita Hamamoto , Motohiko Ezawa , Naoto Nagaosa

We study the charged excitations of quantum Hall systems at integer filling fractions $\nu=2n+1$, for a force-law that takes account of the finite width of the electron gas. For typical values of this width, in the limit of vanishing Zeeman…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 N. R. Cooper

We investigate the ground state of 2D electron gas in Quantum Hall regime at the filling factor slightly deviating from unity, that can be viewed as a sparse lattice of skyrmions. We have found that in the low density limit skyrmions are…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yuli V. Nazarov , A. V. Khaetskii

A novel type of charged excitation, known as a Skyrmion, has recently been discovered in quantum Hall systems with filling factor near \nu = 1. A Skyrmion -- which can be thought of as a topological twist in the spin density of the electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 T. Portengen , J. R. Chapman , V. Nikos Nicopoulos , N. F. Johnson

Magnetic skyrmions are topologically protected spin textures that are promising candidates for low-power spintronic memory and logic devices. Realizing skyrmion-based devices requires an understanding of how structural disorder affects…

We present a Hartree-Fock study of the competition between disorder and interactions in quantum Hall ferromagnets near $\nu=1$. We find that the ground state at $\nu=1$ evolves with increasing interaction strength from a quasi-metallic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jairo Sinova , A. H. MacDonald , S. M. Girvin

We present an analysis of spin-textures in Quantum Hall droplets, for filling factors $\nu \simeq 1$. Analytical wavefunctions with well defined quantum numbers are given for the low-lying states of the system which result to be either bulk…

Condensed Matter · Physics 2009-10-28 J. H. Oaknin , L. Martin-Moreno , C. Tejedor

We present a theoretical study of the $I-V$ tunneling characteristic between two parallel two-dimensional electron gases in a perpendicular magnetic field when both are near filling factor $\nu=1$. Finite-size calculations of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. J. Palacios , H. A. Fertig

Monolayer graphene under a strong perpendicular field exhibit quantum Hall ferromagnetism with spontaneously broken spin and valley symmetry. The approximate SU(4) spin/valley symmetry is broken by small lattice scale effects in the central…

Strongly Correlated Electrons · Physics 2019-09-18 Thierry Jolicoeur , Bradraj Pandey

The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

Experiments on the fractional quantized Hall effect in the zeroth Landau level of graphene have revealed some striking differences between filling factors in the ranges 0<|\nu|<1 and 1<|\nu|<2. We argue that these differences can be largely…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 Dmitry A. Abanin , Benjamin E. Feldman , Amir Yacoby , Bertrand I. Halperin

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

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

We report measurements of the interaction-induced quantum Hall effect in a spin-polarized AlAs two-dimensional electron system where the electrons occupy two in-plane conduction band valleys. Via the application of in-plane strain, we tune…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. P. Shkolnikov , S. Misra , N. C. Bishop , E. P. De Poortere , M. Shayegan

The classical ferromagnet is analyzed in two dimensions via a mean-field treatment of the CP$^1$ model valid in the limit of low temperature and of weak magnetic field. At high skyrmion densities, we find that the magnetization begins to…

Condensed Matter · Physics 2009-10-28 J. P. Rodriguez

We present a microscopic theory of skyrmions in the monolayer quantum Hall ferromagnet. It is a peculiar feature of the system that the number density and the spin density are entangled intrinsically as dictated by the W$%_{\infty}$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Tsitsishvili , Z. F. Ezawa

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

Using finite size calculations on the surface of a sphere we study the topological (skyrmion) excitation in quantum Hall system with spin degree of freedom at filling factors around $\nu=1$. In the absence of Zeeman energy, we find, in…

Condensed Matter · Physics 2009-10-28 X. C. Xie , Song He
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