Electron Motion in Metals with Helicoidal Spin Arrangements
Identifieur interne : 002D19 ( Main/Exploration ); précédent : 002D18; suivant : 002D20Electron Motion in Metals with Helicoidal Spin Arrangements
Auteurs : G. Vertogen [Pays-Bas] ; W. J. Caspers [Pays-Bas] ; A. J. Dekker [Pays-Bas]Source :
- physica status solidi (b) [ 0370-1972 ] ; 1965.
English descriptors
- Teeft :
- Conduction, Conduction electron, Conduction electrons, Crystallographic structure, Dekker, Depolarization, Depolarization time, Differential equations, Electrical resistivity, Electron motion, Energy gaps, Ferromagnetic order, Good quantum number, Helicoidal, Indirect exchange interaction, Lattice, Magnetic order, Magnetic structure, Magnetic unit cell, Phys, Polarization vector, Rare earth metals, Reciprocal lattice vector, Schrodinger equation, Simple conduction band, Translation vectors, Wave functions, Zone boundaries.
Abstract
By assuming that the magnetic structure of metals with helicoidal spin arrangements fits the crystallographic structure, solutions of the Schrödinger equation are obtained which are plane waves modulated by a function with the periodicity of the magnetic structure. The solutions show that in general depolarization of the conduction electrons will occur, i.e. the spin will not be a good quantum number. The depolarization is also shown to occur for a simple conduction band by treating the interaction between the spin of the electron and the spin of the magnetic ions as a perturbation.
Unter der Annahme, daß die magnetische Struktur von Metallen mit schraubenförmigen Spinanordnungen der kristallographischen Struktur entspricht, werden als Lösungen der Schrödingergleichung ebene Wellen erhalten, die mit einer Funktion moduliert sind, die die Periodizität der magnetischen Struktur besitzt. Die Lösungen zeigen, daß im allgemeinen Depolarisationen auftreten, d. h. der Spin ist keine gute Quantenzahl. Es wird gezeigt, daß eine Depolarisation auch bei einem einfachen Leitungsband auftritt, wobei die Wechsel‐wirkung zwischen dem Elektronenspin und dem Spin der magnetischen Ionen als Störung betrachtet wird.
Url:
DOI: 10.1002/pssb.19650110117
Affiliations:
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Dekker</name><affiliation wicri:level="4"><country>Pays-Bas</country><placeName><settlement type="city">Groningue (ville)</settlement><region>Groningue (province)</region></placeName><orgName type="university">Université de Groningue</orgName></affiliation></author></analytic><monogr></monogr><series><title level="j" type="main">physica status solidi (b)</title><title level="j" type="alt">PHYSICA STATUS SOLIDI B</title><idno type="ISSN">0370-1972</idno><idno type="eISSN">1521-3951</idno><imprint><biblScope unit="vol">11</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="185">185</biblScope><biblScope unit="page" to="193">193</biblScope><biblScope unit="page-count">9</biblScope><publisher>WILEY‐VCH Verlag</publisher><pubPlace>Berlin</pubPlace><date type="published" when="1965">1965</date></imprint><idno type="ISSN">0370-1972</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0370-1972</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Conduction</term><term>Conduction electron</term><term>Conduction electrons</term><term>Crystallographic structure</term><term>Dekker</term><term>Depolarization</term><term>Depolarization time</term><term>Differential equations</term><term>Electrical resistivity</term><term>Electron motion</term><term>Energy gaps</term><term>Ferromagnetic order</term><term>Good quantum number</term><term>Helicoidal</term><term>Indirect exchange interaction</term><term>Lattice</term><term>Magnetic order</term><term>Magnetic structure</term><term>Magnetic unit cell</term><term>Phys</term><term>Polarization vector</term><term>Rare earth metals</term><term>Reciprocal lattice vector</term><term>Schrodinger equation</term><term>Simple conduction band</term><term>Translation vectors</term><term>Wave functions</term><term>Zone boundaries</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">By assuming that the magnetic structure of metals with helicoidal spin arrangements fits the crystallographic structure, solutions of the Schrödinger equation are obtained which are plane waves modulated by a function with the periodicity of the magnetic structure. The solutions show that in general depolarization of the conduction electrons will occur, i.e. the spin will not be a good quantum number. The depolarization is also shown to occur for a simple conduction band by treating the interaction between the spin of the electron and the spin of the magnetic ions as a perturbation.</div><div type="abstract" xml:lang="de">Unter der Annahme, daß die magnetische Struktur von Metallen mit schraubenförmigen Spinanordnungen der kristallographischen Struktur entspricht, werden als Lösungen der Schrödingergleichung ebene Wellen erhalten, die mit einer Funktion moduliert sind, die die Periodizität der magnetischen Struktur besitzt. Die Lösungen zeigen, daß im allgemeinen Depolarisationen auftreten, d. h. der Spin ist keine gute Quantenzahl. Es wird gezeigt, daß eine Depolarisation auch bei einem einfachen Leitungsband auftritt, wobei die Wechsel‐wirkung zwischen dem Elektronenspin und dem Spin der magnetischen Ionen als Störung betrachtet wird.</div></front></TEI><affiliations><list><country><li>Pays-Bas</li></country><region><li>Groningue (province)</li></region><settlement><li>Groningue (ville)</li></settlement><orgName><li>Université de Groningue</li></orgName></list><tree><country name="Pays-Bas"><region name="Groningue (province)"><name sortKey="Vertogen, G" sort="Vertogen, G" uniqKey="Vertogen G" first="G." last="Vertogen">G. Vertogen</name></region><name sortKey="Caspers, W J" sort="Caspers, W J" uniqKey="Caspers W" first="W. J." last="Caspers">W. J. Caspers</name><name sortKey="Dekker, A J" sort="Dekker, A J" uniqKey="Dekker A" first="A. J." last="Dekker">A. J. Dekker</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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