Magnetism in Metals and Metallic Compounds

622 Pages·1976·13.59 MB·English

by  K. W. H. Stevens (auth.)

MAGNETISM IN
METALS AND
METALLIC COMPOUNDS
MAGNETISM IN
METALS AND
METALLIC COMPOUNDS
Edited by
Jan T. Lopuszanski, Andrzej Pt:.kalski,
and Jerzy Przystawa
Institute of Theoretical Physics
University of Wroclaw
Poland
PLENUM PRESS· NEW YORK AND LONDON
Library of Congress Cataloging in Publication Data
Winter School ofTheoretical Physics, 11th, Karpacz, 1974.
Magnetism in metals and metallic compounds.
IncJudes bibliographical references and index.
1. Magnetism-Congresses. 2. Metals-Congresses. 3. NucJear magnetism-Con
gresses. I. Lopuszanski, Jan. II. Pcrkalski, Andrzej.III. Przystawa, Jerzy. IV. Title.
QC750.W56 1974 538 75-20369
ISBN 978-1-4757-0018-3 ISBN 978-1-4757-0016-9 (eBook)
DOI 10.1007/978-1-4757-0016-9
Proceedings of the 11 th Winter School of Theoretical Physics organized by the
University ofWroclaw and held at Karpacz, Poland, February 19-March 4,1974
© 1976 Plenum Press, New Y ork
Softcover reprint ofthe hardcover 1st edition 1976
A Division ofPlenum Publishing Corporation
227 West 17th Street, New York, N.Y. 10011
United Kingdom edition published by Plenum Press, London
A Division of Plenum Publishing Company, Ltd.
Davis House (4th Floor), 8 Scrubs Lane, Harlesden, London, NWlO 6SE, England
All righ ts reserved
No part of this book may be reproduced, stored in a retrieval system, or transmitted,
in any fonn or by any means, electronic, mechanical, photocopying, microf"tlming,
recording, or otherwise, without written permission from the Publisher
Since 1964 Institute of Theoretical Physics of the University of
Wroclaw has organized the following Winter Schools:
1964 - Various Problems of Theoretical Physics
1965 - Applications of Group Theory in Physics
1966 - Statistical Physics and Many-Body Problems
1967 Functional Methods in Quantum Field Theory
and Statistical Mechanics
1968 - Axiomatic Approach to Quantum Field Theory
and to Many-Body Problems
1969 - Magnetic Phenomena in Solids
1970 - Liquid Helium and Many-Body Problems
1971 New Developments in Relativistic Quantum
Field Theory
1972 Theory of Metals and Many-Body Problems
1973 Recent Developments in Relativistic Quantum
Field Theory and Their Applications
1974 - Magnetism in Metals and Metallic Compounds
v
FOREWORD
The Proceedings presented here contain the notes of lectures
delivered during the Eleventh Winter School of Theoretical Physics,
held at Karpacz, Poland, February 19 - March 4, 1974.
The School was primarily devoted to new concepts in the theory
of magnetism in metals, alloys, and metallic compounds, but, as can
be seen from the table of contents of the book, other topics of the
theory of magnetism were also discussed in the course of the lec
tures. The organizers agreed to such a broadening of the scope in
order to satisfy particular requests from the Polish participants
for whose benefit the School was organized. These "local" interests
are clearly reflected in the Proceedings and are responsible for a
certain inhomogeneity of the topics selected for presentation.
Nevertheless, we have a strong hope that these materials will be
interesting to many physicists, not only in Poland, for the subjects
discussed here are important not only on the local level, as the
lectures contain quite fresh, unpublished results or excellent up
to-date reviews.
The first part of the volume contains lectures directly cor
responding to the title of the School, i.e., selected topics of the
theory of metallic magnetism, with slight bias toward rare earth
and actinide metals and their compounds. In the second half we
have collected the topics more loosely connected with the main
stream, such as statistical and thermodynamic aspects of various
models, spin-phonon interaction, and others.
The School was very well organized by members of the Institute
of Theoretical Physics of the University of Wroclaw in the persons
of J.M. Kowalski (Technical University of Wroclaw), J. Lorenc, A.
Ogielski, T. Paszkiewicz, A. Pekalski, A. Podolska, J. Przystawa,
Z. Strycharski, W. Suski (Institute of Low Temperature, PAN),
and K. Walasek. But our thanks are first of all due to all lec
turers for the good physics they taught us, for their readiness to
vii
viii FOREWORD
discuss any subject at any time, for their contribution to the warm
and friendly atmosphere of the School, and, last but not least, for
excellent preparation of the lecture notes, which are being published
virtually in the form in which they were submitted. Finally, we must
acknowledge the financial support of the University of Wroclaw and
the Polish Ministry of Science, Higher Education, and Technology.
Professor Z. M. Galasiewicz
Head, Department of Solid
State Theory
University of Wroclaw
PREFACE
The present volume contains lectures and seminars given at
the Eleventh Winter School of Theoretical Physics organized in
Karpacz in 1974 by the Institute of Theoretical Physics of the
University of Wroclaw. The winter schools in Karpacz have been
held each year since 1964. They are devoted alternatingly to
a review of recent developments in quantum field theory and in
solid state physics. The purpose of these schools is to give a
uniform and consistent account of these topics to Polish post
graduate students. The reviews are presented by outstanding
specialists from abroad and from Poland, either in the form of
a series of lectures or in the form of more or less informal
seminars. The schools also serve the purpose of establishing
a closer contact between physicists from the West and from the
East. The beautiful scenery of the Sudeten Mountains, the
friendly and quiet atmosphere of the University Resort Houses,
and the comfortable though simple living conditions provide a
good setting for encouraging personal contacts, informal discus
sions, and scientific collaboration among experts and novices,
the older and the young. It is this aspect that we, the organi
zers of the schools, enjoy and appreciate most.
Professor J. T. topuszanski
Director, Institute of
Theoretical Physics
University of Wroclaw
ix
CONTENTS
A Many Electron Theory of Localised Moments
in Metals . . . . . . . . . . 1
Kenneth W. H. Stevens
Magnetic Properties of a Dense Interacting
Electron Gas . . . . . . 15
M. L. Glasser
Conceptual Phase Diagrams and Their
Applications to Itinerant
Electron Magnetism . . . . 35
John B. Goodenough
Narrow Band Magnetism of Alloys 91
John W. Schweitzer
The Static and Dynamic Impurity Spin
Susceptibility of Kondo Alloys 131
Wolfgang G~tze
Magnon Interaction in the Itinerant Electron
Model of Ferromagnetism . . . . . 159
Janusz Morkowski
Studies of Ferro- and Paramagnetic Nickel by
Positron Annihilation ..... 177
Henryk Stachowiak
Theory of Magnetic Properties of Rare Earths
and Their Compounds ..... . 193
Yu. P. Irkhin
Exchange Interaction in the Heavy Rare Earth
Metals Calculated from Energy Bands 203
Per-Anker LindgRrd
xi
xii CONTENTS
Lattice Effects and the Magnetic Behaviour
of Rare Earth Compounds . . . . 225
Bernard R. Cooper
Elementary Excitations of High Degree Pair
Interactions in Rare Earth Compounds 265
Peter M. Levy
Magnetic Properties of Actinides and Their
Compounds ••.•••..... 287
Daniel J . Lam
Exploratory Band Structure Calculations for
Actinide Compounds • . • . . . . • 295
Harold L. Davis
Magnetism in Actinides . . • . • . 319
Bernard Coqb1in and R. Ju11ien
Thermodynamic Properties of the One-Dimensional
Hubbard Model . • . . • . . • . . • • 351
Uwe Brandt
Weak Self-Consistent Approximation Scheme 363
Haj Leschke
0
On the Connection between Equation of Motion
Technique and Perturbation Theory
Approach to the Evaluation of Double
Time Green's Function •.•. 375
Calogero R. Natoli and J. Ranninger
First Order Green Function Theory of a
Heisenberg Ferromagnet 385
Adolf KUhnel
Spin-One Lattice-Gas Model • . . . • . • • • • . • • • • .• 393
Jean Sivardiere
Dipolar and Quadrupo1ar Ordering in
Magnetic Crystals 411
Jean Sivardiere
One and Two Magnon Light Scattering in
Insulating Antiferromagnets and
Its Possible Relevance for the
Investigation of the Short Range
Interatomic Correlations • . 435
Calogero R. Natoli and J. Ranninger
CONTENTS xiii
Two-Fluid Hydrodynamic Description of
Magnetic Crystals 463
Charles P. Enz
Impurity Ferromagnetism in Non-magnetic
Semiconductors . . . . . . . 501
A. A. Abrikosov and Yu. V. Kopayev
Phonon Hydrodynamics in Solids . . . . 527
Armin The11ung
The Spin-Phonon Interaction in Anharmonic
Ferromagnetic Crystals . . . . . 543
N. M. Plakida and H. Konwent
The Symmetry Properties of Magnetoelastic
Waves and the Determination of
Selection Rules for Magnon-Phonon
Interactions • . . . . . . . . . . 573
Arthur P. Cracknell
Sound Absorption in Magnetics 601
V. G. Kamensky
Contributors 611
Index 615