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We derive an effective Hamiltonian system describing the low energy dynamics of circular magnetic skyrmions and antiskyrmions. Using scaling and symmetry arguments we model (anti-)skyrmion dynamics through a finite set of coupled,…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 B. F. McKeever , D. R. Rodrigues , D. Pinna , Ar. Abanov , Jairo Sinova , K. Everschor-Sitte

The breathing mode of a skyrmion, corresponding to coupled oscillations of its size and chirality angle is studied numerically for a conservative classical-spin system on a $500\times500$ lattice. The dependence of the oscillation frequency…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Dmitry A. Garanin , Reem Jaafar , Eugene M. Chudnovsky

We present a detailed discussion of the breathing mode quantization in the Skyrme model and demonstrate that the chiral angle of the hedgehog soliton is strongly affected by the breathing motion.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Kostyuk , A. P. Kobushkin , N. M. Chepilko , T. Okazaki

The stability of a miniature skyrmion crystal (SkX) with only a small number of spins in the magnetic unit cell has been theoretically investigated in $J_1$-$J_3$ antiferromagnets on the breathing kagome lattice with a single-ion anisotropy…

Strongly Correlated Electrons · Physics 2023-02-17 Kazushi Aoyama , Hikaru Kawamura

The semiclassical SU(3) Skyrme model is traditionally considered as describing a rigid quantum rotator with the profile function being fixed by the classical solution of the corresponding SU(2) Skyrme model. In contrast, we go beyond the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Darius Jurciukonis , Egidijus Norvaisas , Vidas Regelskis

The chiral symmetry-breaking term of the Skyrme model with massive pion is modified to obtain the hedgehog profile function which is in best coincidence with the kink-like profile function. For the modified Lagrangian, the minimum of the…

Quantum Physics · Physics 2007-05-23 Nguyen Vien Tho , Phu Chi Hoa

In the cubic chiral magnet Cu2OSeO3 a low-temperature skyrmion state (LTS) and a concomitant tilted conical state are observed for magnetic fields parallel to <100>. In this work, we report on the dynamic resonances of these novel magnetic…

The profile function for the hedgehog Skyrmion is investigated. After discussing how the form of the profile function is restricted by the field equation, the s tatic energy is numerically calculated. It is found that the profile functions…

High Energy Physics - Theory · Physics 2008-11-26 Jun Yamashita , Minoru Hirayama

We show that classical Heisenberg antiferromagnets on the breathing kagome lattice can be a platform to realize a zero-field topological order of the scalar spin chirality which can be viewed as a miniature skyrmion crystal (SkX) of…

Strongly Correlated Electrons · Physics 2022-03-29 Kazushi Aoyama , Hikaru Kawamura

The dynamics of individual magnetic skyrmions confined in ultrathin film dots is studied theoretically. The systems considered are transition metal ferromagnets possessing perpendicular magnetic anisotropy and particular attention is given…

A self-consistent large $N_c$ approach is developed for the collective quantization of SU(3) flavor hedgehog solitons, such as the Skyrmion. The key to this analysis is the determination of all of the zero modes associated with small…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aleksey Cherman , Thomas D. Cohen , Timothy R. Dulaney , Erin M. Lynch

The Skyrme model of nuclear physics requires quantisation if it is to match observed nuclear properties. A simple technique is used to find the normal mode spectrum of the baryon number B=4 Skyrme soliton, representing the $\alpha$…

High Energy Physics - Theory · Physics 2009-10-30 Chris Barnes , Kim Baskerville , Neil Turok

We present essentially exact solutions of the Schroedinger equation for three fermions in two different spin states with zero-range s-wave interactions under harmonic confinement. Our approach covers spherically symmetric, strictly…

Quantum Gases · Physics 2015-06-11 S. E. Gharashi , K. M. Daily , D. Blume

We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of…

High Energy Physics - Lattice · Physics 2009-10-31 Alec J. Schramm , Benjamin Svetitsky

Skyrmions are topologically protected quantum objects at the nanometre scale. They form perpendicular to an applied magnetic field at a certain temperature and arrange themselves in a typically hexagonal lattice. Using small angle neutron…

Strongly Correlated Electrons · Physics 2023-03-07 J. Sauceda Flores , R. Rov , J. O'Brien , S. Yick , Md. F. Pervez , M. Spasovski , J. Vella , N. Booth , E. P. Gilbert , Oleg A. Tretiakov , T. Söhnel , C. Ulrich

This paper discusses multi-skyrmions on the 3-sphere with variable radius L using the rational map ansatz. For baryon number B = 3,...,9 this ansatz produces the lowest energy solutions known so far. By considering the geometry of the model…

High Energy Physics - Theory · Physics 2010-11-19 Steffen Krusch

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

In this study, the quantum 3-body harmonic system with finite rest length $R$ and zero total angular momentum $L=0$ is explored. It governs the near-equilibrium $S$-states eigenfunctions $\psi(r_{12},r_{13},r_{23})$ of three identical point…

Quantum Physics · Physics 2023-03-22 H. Olivares-Pilón , A. M. Escobar-Ruiz , F. Montoya

In connection with the possibility of skyrmion production from small domain disoriented chiral condensates formation from heavy ion collisions, the direct relation of a classical skyrmion to baryon states is examined. It is argued that a…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. H. Wong

The essence of the potential algebra concept [3] is that quantum mechanical free motions of scalar particles on curved surfaces of given isometry algebras can be mapped on 1D Schroedinger equations with particular potentials. As long as the…

Nuclear Theory · Physics 2015-06-05 Mariana Kirchbach
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