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dc.contributor.authorBonbien, V.
dc.contributor.authorZhuo, Fengjun
dc.contributor.authorSalimath, A.
dc.contributor.authorLy, Ousmane
dc.contributor.authorAbbout, A.
dc.contributor.authorManchon, A.
dc.date.accessioned2021-02-17T11:07:37Z
dc.date.available2021-02-17T11:07:37Z
dc.date.issued2021-02-02
dc.identifier.urihttp://hdl.handle.net/10754/667497
dc.description.abstractWe review the topological phenomena that have been recently uncovered in antiferromagnetic materials. The scope of this work covers electronic and magnonic transport, as well as topologically non-trivial magnetic solitons and fractional excitations. We emphasize that while the term topology refers to a global property that reflects the gauge flux endowed by a quantum state, it is routinely used to designate properties emerging from the local geometry of the quantum states in momentum and spin spaces. In this review, we adopt this convention. In the introduction, we provide a short overview of antiferromagnetic spintronics, briefly highlighting its main features, and discuss the difference between topology and geometry. In the second section, we describe of the symmetry properties of antiferromagnets and how they impact their band structure, Berry curvature and conductivity tensor. In the third section, we show how these symmetries generate anomalous electronic and magnonic transport, focusing on the most recently discovered phenomena: anomalous Hall effect, magnetic spin Hall effect, crystal Hall effect and their magnonic counterpart. In the fourth section, we discuss the realization of electronic and magnonic topological insulators based on antiferromagnetic materials. In the fifth section, the emergence of topological solitons in antiferromagnets in one and two dimensions is addressed and their dynamical properties are presented. In the sixth section, we describe the emergence of topologically non-trivial magnetic excitations in quantum antiferromagnets, focusing on eloquent examples such as fermionic spinons in kagom\'e lattices, Majorana fermions in Kitaev honeycomb lattices and magnetic monopole in pyrochlores. In the seventh section, we provide perspectives on the promises of the field.
dc.description.sponsorshipA. M. acknowledges support from the Excellence Initiative of Aix-Marseille Universit´e - A*Midex, a French ”Investissements d’Avenir” program. B. V., F. Z., and O. L. were supported by the King Abdullah University of Science and Technology (KAUST). A. A. acknowledges the support provided by the Deanship of Scientific Research at King Fahd University of Petroleum and Minerals (KFUPM) through Project No. SR191021. A. M. acknowledges fruitful discussions with J. Zelezny.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2102.01632
dc.rightsArchived with thanks to arXiv
dc.titleTopological Aspects of Antiferromagnets
dc.typePreprint
dc.contributor.departmentMaterial Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.eprint.versionPre-print
dc.contributor.institutionDepartment of Engineering Sciences, UiA, Grimstad, Norway.
dc.contributor.institutionDepartment of Physics, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran 31261, Saudi Arabia.
dc.contributor.institutionAix Marseille Univ.
dc.identifier.arxivid2102.01632
kaust.personBonbien, V.
kaust.personZhuo, Fengjun
kaust.personLy, Ousmane
refterms.dateFOA2021-02-17T11:09:51Z


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