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We study the behavior of two-dimensional electron gas in the fractional quantum Hall regime in the presence of finite layer thickness and correlated disordered potential. Generalizing the Chern number calculation to many-body systems, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xin Wan , D. N. Sheng , E. H. Rezayi , Kun Yang , R. N. Bhatt , F. D. M. Haldane

We consider the charged excitations in the quantum Hall effect with a large Zeeman splitting at filling factor nu=2. When the Zeeman splitting is increased over a critical value the groundstate undergoes a first order phase transition from…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 D. Lilliehook

How to detect the skyrmion position is a crucial problem in future skyrmionics since it corresponds to the reading process of information. We propose a method to detect the skyrmion position purely electrically by measuring the Hall…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Keita Hamamoto , Motohiko Ezawa , Naoto Nagaosa

We propose a class of variational wave functions with slow variation in spin and charge density and simple vortex structure at infinity, which properly generalize both the Laughlin quasiparticles and baby Skyrmions. We argue that the spin…

Condensed Matter · Physics 2009-10-28 Chetan Nayak , Frank Wilczek

A microscopic description of (baby)skyrmions in quantum Hall ferromagnets is derived from a scattering theory of collective (neutral) spin modes by a bare quasiparticle. We start by mapping the low lying spectrum of spin waves in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. H. Oaknin , B. Paredes , C. Tejedor

Using a particle-based simulation model, we show that quenched disorder creates a drive-dependent skyrmion Hall effect as measured by the change in the ratio $R=V_{\perp}/V_{||}$ of the skyrmion velocity perpendicular ($V_{\perp}$) and…

Strongly Correlated Electrons · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Metallic phases have been observed in several disordered two dimensional (2d) systems, including thin films near superconductor-insulator transitions and quantum Hall systems near plateau transitions. The existence of 2d metallic phases at…

Strongly Correlated Electrons · Physics 2017-07-05 Pallab Goswami , Hart Goldman , Srinivas Raghu

We investigate the response of a two-dimensional electron gas, in the fractional quantum Hall regime, to the sudden appearance of a localised charged probe using the Chern-Simons theory of composite fermions. The dynamic structure factor of…

Strongly Correlated Electrons · Physics 2009-10-31 Darren J. T. Leonard , Neil F. Johnson

We investigate the skyrmion formation process in nano-structured FeGe Hall-bar devices by measurements of topological Hall effect, which extracts the winding number of a spin texture as an emergent magnetic field. Step-wise profiles of…

Strongly Correlated Electrons · Physics 2015-06-23 N. Kanazawa , M. Kubota , A. Tsukazaki , Y. Kozuka , K. S. Takahashi , M. Kawasaki , M. Ichikawa , F. Kagawa , Y. Tokura

Skyrmions are stable and topologically non-trivial field configurations that behave like localized particles. They appear in the chiral effective theory for pions, where they correspond to the baryon states, and might also exist in the…

High Energy Physics - Phenomenology · Physics 2026-01-28 Mikael Chala , Juan Carlos Criado , Luis Gil

We study the excitations that emerge upon doping the translationally-invariant correlated insulating states in magic angle twisted bilayer graphene at various integer filling factors $\nu$. We identify parameter regimes where these are…

Strongly Correlated Electrons · Physics 2023-05-02 Yves H. Kwan , Glenn Wagner , Nick Bultinck , Steven H. Simon , S. A. Parameswaran

We revisit the problem of baryons in the large N limit of Quantum Chromodynamics. A special case in which the theory of Skyrmions is inapplicable is one-flavor QCD, where there are no light pions to construct the baryon from. More…

High Energy Physics - Theory · Physics 2019-02-08 Zohar Komargodski

Motivated by recent experiments in Gd$_3$Ru$_4$Al$_{12}$, we demonstrate the emergence of atomic scale Skyrmions in interacting spins on a breathing kagome lattice with competing nearest neighbor ferromagnetic and next nearest neighbor…

Strongly Correlated Electrons · Physics 2022-03-08 Nyayabanta Swain , Munir Shahzad , Pinaki Sengupta

Nitrogen-vacancy magnetic microscopy is employed in quenching mode as a non-invasive, high resolution tool to investigate the morphology of isolated skyrmions in ultrathin magnetic films. The skyrmion size and shape are found to be strongly…

Results of detailed investigations of the conductivity and Hall effect in gated single quantum well GaAs/InGaAs/GaAs heterostructures with two-dimensional electron gas are presented. A successive analysis of the data has shown that the…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , O. E. Rut , A. V. Germanenko , A. A. Sherstobitov , B. N. Zvonkov , E. A. Uskova , A. A. Birukov

Almost all quantum Hall effect to date can be understood as {\em integral} quantum Hall effect of appropriate particles, namely electrons or composite fermions. This paper investigates theoretically the feasibility of nested states of…

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

We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Kang-Hun Ahn , K. J. Chang

The bilayer quantum Hall system at a total filling of $\nu_T=1$ has long resisted explanation in terms of a true counterflow superfluid, though many experimental features can be seen to be "almost" that of a superfluid. It is widely…

Strongly Correlated Electrons · Physics 2015-05-18 Jianmin Sun , Ganpathy Murthy , H. A. Fertig , Noah Bray-Ali

We measure the low-field Hall resistivity of a magnetically-doped two-dimensional electron gas as a function of temperature and electrically-gated carrier density. Comparing these results with the carrier density extracted from Shubnikov-de…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Cumings , L. S. Moore , H. T. Chou , K. C. Ku , S. A. Crooker , N. Samarth , D. Goldhaber-Gordon

We consider both disorder and interaction effects on the magnetoresistance and Hall constant of composite fermions in the vicinity of half filled Landau level. By contrast to the standard case of Coulomb interacting two-dimensional electron…

Condensed Matter · Physics 2009-10-28 D. V. Khveshchenko
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