Cluster multipole theory for anomalous Hall effect in antiferromagnets
We introduce a cluster extension of multipole moments to discuss the anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic (AFM) states in a unified framework. We first derive general symmetry requirements for the AHE in the presence or absence of the spin-orbit coupling by co...
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| Veröffentlicht in: | Physical review. B 2017-03, Vol.95 (9), p.94406, Article 094406 |
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| creator | Suzuki, M.-T. Koretsune, T. Ochi, M. Arita, R. |
| description | We introduce a cluster extension of multipole moments to discuss the anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic (AFM) states in a unified framework. We first derive general symmetry requirements for the AHE in the presence or absence of the spin-orbit coupling by considering the symmetry of the Berry curvature in k space. The cluster multipole (CMP) moments are then defined to quantify the macroscopic magnetization in noncollinear AFM states as a natural generalization of the magnetization in FM states. We identify the macroscopic CMP order which induces the AHE. The theoretical framework is applied to the noncollinear AFM states of Mn3Ir , for which an AHE was predicted in a first-principles calculation, and Mn3Z (Z = Sn, Ge) , for which a large AHE was recently discovered experimentally. We further compare the AHE in Mn3Z and bcc Fe in terms of the CMP. We show that the AHE in Mn3Z is characterized by the magnetization of a cluster octupole moment in the same manner as that in bcc Fe characterized by the magnetization of the dipole moment. |
| doi_str_mv | 10.1103/PhysRevB.95.094406 |
| format | Article |
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We first derive general symmetry requirements for the AHE in the presence or absence of the spin-orbit coupling by considering the symmetry of the Berry curvature in k space. The cluster multipole (CMP) moments are then defined to quantify the macroscopic magnetization in noncollinear AFM states as a natural generalization of the magnetization in FM states. We identify the macroscopic CMP order which induces the AHE. The theoretical framework is applied to the noncollinear AFM states of Mn3Ir , for which an AHE was predicted in a first-principles calculation, and Mn3Z (Z = Sn, Ge) , for which a large AHE was recently discovered experimentally. We further compare the AHE in Mn3Z and bcc Fe in terms of the CMP. 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We show that the AHE in Mn3Z is characterized by the magnetization of a cluster octupole moment in the same manner as that in bcc Fe characterized by the magnetization of the dipole moment.</description><subject>Antiferromagnetism</subject><subject>Clusters</subject><subject>Curvature</subject><subject>Dipole moments</subject><subject>Electromagnetism</subject><subject>Ferromagnetism</subject><subject>First principles</subject><subject>Germanium</subject><subject>Hall effect</subject><subject>Magnetism</subject><subject>Magnetization</subject><subject>Spin-orbit interactions</subject><subject>Symmetry</subject><subject>Tin</subject><issn>2469-9950</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNo9kEFLAzEUhIMoWGr_gKeA560vm2x2c9RirVBQRM8hm77YLemmJlmh_96VqqcZmGEGPkKuGcwZA377sj2mV_y6n6tqDkoIkGdkUgqpCqWkOv_3FVySWUo7AGASVA1qQpYLP6SMke4Hn7tD8EjzFkM8UhciNX3YGx-GRFfGe4rOoc2068cgdw5jHOOPHnO6IhfO-ISzX52S9-XD22JVrJ8fnxZ368IKLnLRKDCNMZLhBpSp0Va1aUGWknMnQKGobb1h0ra2appSNGARoZXMmcaixZZPyc1p9xDD54Ap610YYj9e6pKVvGbABBtb5allY0gpotOH2O1NPGoG-geZ_kOmVaVPyPg31aNhuQ</recordid><startdate>20170307</startdate><enddate>20170307</enddate><creator>Suzuki, M.-T.</creator><creator>Koretsune, T.</creator><creator>Ochi, M.</creator><creator>Arita, R.</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20170307</creationdate><title>Cluster multipole theory for anomalous Hall effect in antiferromagnets</title><author>Suzuki, M.-T. ; Koretsune, T. ; Ochi, M. ; Arita, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c434t-890a8aa61ed09a7ec57ab062633f409e47c7d16cbc5882480cee0b61fa8ceceb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Antiferromagnetism</topic><topic>Clusters</topic><topic>Curvature</topic><topic>Dipole moments</topic><topic>Electromagnetism</topic><topic>Ferromagnetism</topic><topic>First principles</topic><topic>Germanium</topic><topic>Hall effect</topic><topic>Magnetism</topic><topic>Magnetization</topic><topic>Spin-orbit interactions</topic><topic>Symmetry</topic><topic>Tin</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Suzuki, M.-T.</creatorcontrib><creatorcontrib>Koretsune, T.</creatorcontrib><creatorcontrib>Ochi, M.</creatorcontrib><creatorcontrib>Arita, R.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Suzuki, M.-T.</au><au>Koretsune, T.</au><au>Ochi, M.</au><au>Arita, R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cluster multipole theory for anomalous Hall effect in antiferromagnets</atitle><jtitle>Physical review. B</jtitle><date>2017-03-07</date><risdate>2017</risdate><volume>95</volume><issue>9</issue><spage>94406</spage><pages>94406-</pages><artnum>094406</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><abstract>We introduce a cluster extension of multipole moments to discuss the anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic (AFM) states in a unified framework. We first derive general symmetry requirements for the AHE in the presence or absence of the spin-orbit coupling by considering the symmetry of the Berry curvature in k space. The cluster multipole (CMP) moments are then defined to quantify the macroscopic magnetization in noncollinear AFM states as a natural generalization of the magnetization in FM states. We identify the macroscopic CMP order which induces the AHE. The theoretical framework is applied to the noncollinear AFM states of Mn3Ir , for which an AHE was predicted in a first-principles calculation, and Mn3Z (Z = Sn, Ge) , for which a large AHE was recently discovered experimentally. We further compare the AHE in Mn3Z and bcc Fe in terms of the CMP. We show that the AHE in Mn3Z is characterized by the magnetization of a cluster octupole moment in the same manner as that in bcc Fe characterized by the magnetization of the dipole moment.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevB.95.094406</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Antiferromagnetism Clusters Curvature Dipole moments Electromagnetism Ferromagnetism First principles Germanium Hall effect Magnetism Magnetization Spin-orbit interactions Symmetry Tin |
| title | Cluster multipole theory for anomalous Hall effect in antiferromagnets |
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