Special Issue "Topological Spin Textures: From Fundamentals to Applications"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 August 2023) | Viewed by 2098

Special Issue Editor

Heisenberg Spin-dynamics Group, Physikalisches Institut, Karlsruhe Institute of Technology, Karlsruhe, Germany
Interests: condensed-matter physics; magnetism; magnetic thin films and multilayers; magnonics; terahertz spin excitations; ultrathin superconductors; collective excitations at surfaces; spin-dependent phenomena in solids

Special Issue Information

Dear Colleagues,

The emergence of novel topological spin structures such as chiral magnetic domain walls, skyrmions, antiskyrmions, merons, antimerons, etc., in chiral magnets is one of the most interesting and intriguing topics in condensed-matter research. In addition to their fundamental importance, these spin textures are useful for applications in information technologies and neuromorphic computing. Possible manipulation of these spin textures by external means, e.g., spin-polarized currents, spin waves, and magnetic and electric fields, has opened up new perspectives for the realization of energy-efficient multifunctional devices. In recent years, tremendous theoretical and experimental efforts have been dedicated to the fundamental understanding, observation, and manipulation of these spin textures.

The aim of the present Special Issue is to bring manuscripts dealing with the topological spin textures under the same umbrella, providing readers with an overview of state-of-the-art research on the topic. Both fundamental as well as applied research shall be covered.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Topological Spin Textures: From Fundamentals to Applications” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Prof. Dr. Khalil Zakeri Lori
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • Topological spin textures
  • Chiral magnets
  • Skyrmions
  • Antiskyrmions
  • Merons
  • Antimerons
  • Magnons
  • Magnetic textures
  • Magnetic bubbles
  • Magnetic vortices
  • Topological Hall effect
  • Spin current
  • Spin waves
  • Spin dynamics

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:


Hilbert Space Structure of the Low Energy Sector of U(N) Quantum Hall Ferromagnets and Their Classical Limit
Symmetry 2022, 14(5), 872; https://doi.org/10.3390/sym14050872 - 24 Apr 2022
Cited by 1 | Viewed by 1092
Using the Lieb–Mattis ordering theorem of electronic energy levels, we identify the Hilbert space of the low energy sector of U(N) quantum Hall/Heisenberg ferromagnets at filling factor M for L Landau/lattice sites with the carrier space of irreducible representations of [...] Read more.
Using the Lieb–Mattis ordering theorem of electronic energy levels, we identify the Hilbert space of the low energy sector of U(N) quantum Hall/Heisenberg ferromagnets at filling factor M for L Landau/lattice sites with the carrier space of irreducible representations of U(N) described by rectangular Young tableaux of M rows and L columns, and associated with Grassmannian phase spaces U(N)/U(M)×U(NM). We embed this N-component fermion mixture in Fock space through a Schwinger–Jordan (boson and fermion) representation of U(N)-spin operators. We provide different realizations of basis vectors using Young diagrams, Gelfand–Tsetlin patterns and Fock states (for an electron/flux occupation number in the fermionic/bosonic representation). U(N)-spin operator matrix elements in the Gelfand–Tsetlin basis are explicitly given. Coherent state excitations above the ground state are computed and labeled by complex (NM)×M matrix points Z on the Grassmannian phase space. They adopt the form of a U(N) displaced/rotated highest-weight vector, or a multinomial Bose–Einstein condensate in the flux occupation number representation. Replacing U(N)-spin operators by their expectation values in a Grassmannian coherent state allows for a semi-classical treatment of the low energy (long wavelength) U(N)-spin-wave coherent excitations (skyrmions) of U(N) quantum Hall ferromagnets in terms of Grasmannian nonlinear sigma models. Full article
(This article belongs to the Special Issue Topological Spin Textures: From Fundamentals to Applications)
Back to TopTop