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000834129 037__ $$aFZJ-2017-04128
000834129 1001_ $$0P:(DE-Juel1)130643$$aFreimuth, Frank$$b0$$eCorresponding author$$ufzj
000834129 1112_ $$aThursday theoretician seminar$$cLaboratoire de Physique des Solides Orsay$$d2017-07-06 - 2017-07-06$$wFrance
000834129 245__ $$aGeometrical contributions to the Exchange interactions: From Equilibrium to Nonequilibrium
000834129 260__ $$c2017
000834129 3367_ $$033$$2EndNote$$aConference Paper
000834129 3367_ $$2DataCite$$aOther
000834129 3367_ $$2BibTeX$$aINPROCEEDINGS
000834129 3367_ $$2DRIVER$$aconferenceObject
000834129 3367_ $$2ORCID$$aLECTURE_SPEECH
000834129 3367_ $$0PUB:(DE-HGF)6$$2PUB:(DE-HGF)$$aConference Presentation$$bconf$$mconf$$s1497872303_30053$$xInvited
000834129 520__ $$aWhile the spin-spiral approach is a powerful method to calculate the exchange constants of realistic materials within density functional theory, it has the drawback that it does not explicitly express the exchange constants in terms of the electronic structure. In this talk we discuss how to express the exchange constants in terms of electronic structure properties, such as the mixed Berry curvature and the mixed quantum metric, which describe the geometrical properties of the electronic structure in mixed phase space [1]. While the mixed Berry curvature [2,3,4] plays a central role in the Dzyaloshinskii-Moriya interaction the symmetric exchange interaction involves additionally the quantum metric in mixed phase space [1]. Our expressions for the exchange constants bear a strong formal resemblance to Fukuyama's theory [5] of the orbital magnetic susceptibility, which can be expressed in terms of geometrical quantities as well [6]. In contrast to the spin-spiral approach, our formalism expresses the exchange constants directly in terms of the electronic structure information, which allows us to study the relationship to other effects and phenomena important in spintronics. For example, spin-transfer torque and spin-orbit torque [7,8] can be interpreted as nonequilibrium exchange interaction and nonequilibrium magnetic anisotropy. Consequently, the spin-orbit torque is given by the mixed Berry curvature. In first order of the spin-orbit interaction the Dzyaloshinskii-Moriya interaction is related to the ground-state spin current [9]. Thus, spin-currents excited by light are expected to lead to nonequilibrium DMI.References1.	F. Freimuth, S. Blügel and Y. Mokrousov, PRB 95, 184428 (2017).2.	F. Freimuth, R. Bamler, Y. Mokrousov and A. Rosch, PRB 88, 214409 (2013).3.	F. Freimuth, S. Blügel and Y. Mokrousov, JPCM 26, 104202 (2014).4.	F. Freimuth, S. Blügel and Y. Mokrousov, JPCM 28, 316001 (2016).5.	H. Fukuyama, Progress of Theoretical Physics 45, 704 (1971).6.	Y. Gao, S. A. Yang, and Q. Niu, Phys. Rev. B 91, 214405 (2015).7.	F. Freimuth, S. Blügel and Y. Mokrousov, PRB 92, 064415 (2015).8.	F. Freimuth, S. Blügel and Y. Mokrousov, PRB 90, 174423 (2014).9.	F. Freimuth, S. Blügel, and Y. Mokrousov, ArXiv eprints (2016), 1610.06541.
000834129 536__ $$0G:(DE-HGF)POF3-142$$a142 - Controlling Spin-Based Phenomena (POF3-142)$$cPOF3-142$$fPOF III$$x0
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000834129 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130643$$aForschungszentrum Jülich$$b0$$kFZJ
000834129 9131_ $$0G:(DE-HGF)POF3-142$$1G:(DE-HGF)POF3-140$$2G:(DE-HGF)POF3-100$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bEnergie$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vControlling Spin-Based Phenomena$$x0
000834129 9141_ $$y2017
000834129 9201_ $$0I:(DE-Juel1)IAS-1-20090406$$kIAS-1$$lQuanten-Theorie der Materialien$$x0
000834129 9201_ $$0I:(DE-Juel1)PGI-1-20110106$$kPGI-1$$lQuanten-Theorie der Materialien$$x1
000834129 9201_ $$0I:(DE-82)080009_20140620$$kJARA-FIT$$lJARA-FIT$$x2
000834129 9201_ $$0I:(DE-82)080012_20140620$$kJARA-HPC$$lJARA - HPC$$x3
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