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Skyrmions are particle-like topological textures that hold great promise for low-power electronics and wave-based functionalities. Yet their utility is hindered by the lack of robust and controllable transport. Here, we show that band…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Lei Liu , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

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 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

Spin textures arise in the effective action approach to the quantum Hall effect. Up to now these textures, also called Skyrmions, have been mainly studied using approximations. Studies of its finite density form, the crystal, have been…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels R. Walet , Tom Weidig

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

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

The quantum spin Hall effect is conventionally thought to require a strong spin-orbit coupling, producing an effective spin-dependent magnetic field. However, spin currents can also be present without transport of spins, for example, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Tianqi Chen , Tim Byrnes

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

A field theory of quantum Hall effects is constructed based on the \CB picture. It is tightly related with the microscopic wave-function theory. The characteristic feature is that the field operator describes solely the physical degrees of…

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

We report the application of the nonlinear $\sigma$ model to study the multi-skyrmion problem in the quantum Hall ferromagnet system. We make use of a first-principle calculation to derive an analytical form for the inter-skyrmionic…

Condensed Matter · Physics 2015-06-25 M. Abolfath , M. R. Ejtehadi

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

As a consequence of the approximate spin-valley symmetry in graphene, the ground state of electrons in graphene at charge neutrality is a particular SU(4) quantum-Hall ferromagnet to minimize their exchange energy. If only the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Jonathan Atteia , Yunlong Lian , Mark Oliver Goerbig

Skyrmion qubits are a new highly promising logic element for quantum information processing. However, their scalability to multiple interacting qubits remains challenging. We propose a hybrid quantum setup with skyrmion qubits strongly…

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 introduce a model to study magnon scattering in skyrmion crystals, sandwiched between ferromagnets which act as the source of magnons. Skyrmions are topological objects while skyrmion crystals break internal and translational symmetries,…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 Nilotpal Chakraborty , Roderich Moessner , Benoit Doucot

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

We report on a theory of the Skyrmion states which occur in quantum Hall regime near certain filling factors. It is shown that in the limit of zero Zeeman splitting in a realistic temperature range the Skyrmion plasma is a liquid described…

Condensed Matter · Physics 2009-10-28 A. G. Green , I. I. Kogan , A. M. Tsvelik

We provide a theoretical description of the polarization pattern and phase singularities experimentally evidenced recently in a condensate of indirect excitons [H. High et al., Nature 483, 584-588 (2012)]. We show that the averaging of the…

Mesoscale and Nanoscale Physics · Physics 2013-06-14 D. V. Vishnevsky , H. Flayac , A. V. Nalitov , D. D. Solnyshkov , N. A. Gippius , G. Malpuech

Skyrmions are topological magnetic textures, mostly treated classically, studied extensively due to their potential spintronics applications due to their topological stability. However, it remains unclear what physical phenomena…

Strongly Correlated Electrons · Physics 2024-07-16 Dhiman Bhowmick , Andreas Haller , Deepak S. Kathyat , Thomas L. Schmidt , Pinaki Sengupta

We apply the theory of elasticity to study the effects of skyrmion mass on lattice dynamics in quantum Hall systems. We find that massive Skyrme lattices behave like a Wigner crystal in the presence of a uniform perpendicular magnetic…

Condensed Matter · Physics 2014-10-13 M. Abolfath , Kieran Mullen , H. T. C. Stoof
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