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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

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

We have investigated quantum Hall skyrmions at filling factor \nu=1 carrying more than one unit of topological, and hence electric, charge. Using a combination of analytic and numerical methods we find the counterintuitive result that when…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 D. Lilliehook , K. Lejnell , A. Karlhede , S. L. Sondhi

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

We report on a study of the charged-skyrmion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau level filling factors. Particle-hole symmetry is used to relate the spin-quantum numbers of charged particle…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 H. A. Fertig , L. Brey , R. Cote , A. H. MacDonald , A. Karlhede , S. L. Sondhi

We have employed tilted-field magneto-transport measurements of the energy gap for the odd-integer quantized Hall states at Landau level filling factors $\nu = 1$,3 and 5 to determine the spin of thermally excited quasielectron-quasihole…

Condensed Matter · Physics 2009-10-28 A. Schmeller , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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

We report the application of the nonlinear $\sigma$ model to study the multi-skyrmion problem in the quantum Hall ferromagnet system. We show that the ground state of the system can be described by a ferromagnet triangular Skyrme lattice…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Abolfath , M. R. Ejtehadi

We study the role of Zeeman effect in fractional quantum Hall effect (FQHE) on the surface of topological insulators (TIs). We show that the effective pseudopotentials of the Coulomb interaction are reformed due to Zeeman effect, which are…

Strongly Correlated Electrons · Physics 2012-10-19 Zhigang Wang , Fawei Zheng , Zhen-Guo Fu , Ping Zhang

The topological Hall effect is a hallmark of topologically non-trivial magnetic textures such as magnetic skyrmions. It quantifies the transverse electric current that is generated once an electric field is applied and occurs as a…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Börge Göbel , Lennart Schimpf , Ingrid Mertig

The activation energy measured in transport experiments in the fractional Hall regime corresponds to the energy required to create a far separated particle hole pair. We calculate, for several fractional quantum Hall states, the energy gaps…

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

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

It is shown that the low-energy spectrum of a ferromagnetic quantum Hall effect liquid in a system with a multi-domain structure generated by an inhomogeneous bare Zeeman splitting $\epsilon_{Z}$ is formed by excitations localized at the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vladimir I. Fal'ko , S. V. Iordanskii

The energy of Skyrmions is calculated with the help of a technique based on the excitonic representation: the basic set of one-exciton states is used for the perturbation-theory formalism instead of the basic set of one-particle states. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Dickmann

The low energy charged excitations in quantum Hall ferromagnets are topological defects in the spin orientation known as skyrmions. Recent experimental studies on nuclear magnetic resonance spectral line shapes in quantum well…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jairo Sinova , S. M. Girvin , T. Jungwirth , K. Moon

Energy gaps have been measured for the ferromagnetic quantum Hall effect states at v=1 and 3 in GaAs/GaAlAs heterojunctions as a function of Zeeman energy, which is reduced to zero by applying hydrostatic pressures of up to 20kbar. At large…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. R. Leadley , R. J. Nicholas , D. K. Maude , A. N. Utjuzh , J. C. Portal , J. J. Harris , C. T. Foxon

The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.…

Strongly Correlated Electrons · Physics 2023-09-21 Robert Peters , Jannis Neuhaus-Steinmetz , Thore Posske

We demonstrate that the nontrivial magnetic texture of antiferromagnetic skyrmions (AFM-Sks) promotes a non-vanishing topological spin Hall effect (TSHE) on the flowing electrons. This results in a substantial enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 C. A. Akosa , O. A. Tretiakov , G. Tatara , A. Manchon

We report on magneto-transport measurements of a two-dimensional electron gas confined in a Cd$_{0.997}$Mn$_{0.003}$Te quantum well structure under conditions of vanishing Zeeman energy. The electron Zeeman energy has been tuned via the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 F. J. Teran , M. Potemski , D. K. Maude , T. Andrearczyk , J. Jaroszynski , T. Wojtowicz , G. Karczewski

It is widely believed that the skyrmion Hall effect is absent in antiferromagnets because of the vanishing topological charge. However, the Aharonov-Casher theory indicates the possibility of topological effects for neutral particles. In…

Materials Science · Physics 2024-07-08 Zhejunyu Jin , Zhaozhuo Zeng , Yunshan Cao , Peng Yan
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