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Springer Series in Materials Science 222 Claudia Felser Atsufumi Hirohata Editors Heusler Alloys Properties, Growth, Applications Springer Series in Materials Science Volume 222 Series editors Robert Hull, Charlottesville, USA Chennupati Jagadish, Canberra, Australia Richard M. Osgood, New York, USA Jürgen Parisi, Oldenburg, Germany Tae-Yeon Seong, Seoul, Korea, Republic of (South Korea) Shin-ichi Uchida, Tokyo, Japan Zhiming M. Wang, Chengdu, China The Springer Series in Materials Science covers the complete spectrum of materials physics, including fundamental principles, physical properties, materials theory and design. Recognizing the increasing importance of materials science in future device technologies, the book titles in this series reflect the state-of-the-art in understanding and controlling the structure and properties of all important classes of materials. More information about this series at http://www.springer.com/series/856 Claudia Felser Atsufumi Hirohata (cid:129) Editors Heusler Alloys Properties, Growth, Applications 123 Editors ClaudiaFelser Atsufumi Hirohata Max-Planck-Institut für ChemischePhysik Department ofElectronics festerStoffe University of York Dresden York Germany UK ISSN 0933-033X ISSN 2196-2812 (electronic) SpringerSeries inMaterials Science ISBN978-3-319-21448-1 ISBN978-3-319-21449-8 (eBook) DOI 10.1007/978-3-319-21449-8 LibraryofCongressControlNumber:2015945328 SpringerChamHeidelbergNewYorkDordrechtLondon ©SpringerInternationalPublishingSwitzerland2016 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilarmethodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt fromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper SpringerInternationalPublishingAGSwitzerlandispartofSpringerScience+BusinessMedia (www.springer.com) Preface SincethediscoveryofCu MnSnbyFriedrichHeuslerin1903,thistypeofternary 2 alloys has been intensively investigated due to its ferromagnetism without con- taining any ferromagnetic elements, such as Fe, Co, Ni and Gd. Such an alloy, known as Heusler alloy, has been demonstrated to form thermal antiphase boundaries, which can be utilised for shape-memory materials and magnetic refrigeration. The Heusler alloys have then attracted more attention from the spintronics community since the first prediction of the half-metallicity on a half-Heusler alloy, NiMnSb, by de Groot et al. in 1983. The Heusler alloys are thereforeknowntobeoneofthebesthalf-metallic ferromagnetstoachieve100% spinpolarisationatroomtemperatureduetotheirhighCurietemperatureandlarge intrinsic magnetic moments. In order to implement the Heusler alloys into spin- tronic devices, the half-metallicity needs to be maintained in their thin film form. This requires to overcome major challenges; the formation offully-ordered phase, the avoidance of atomic disorder at surfaces and the interfaces and introduction of strong magnetic anisotropy. Thesethreechallengeshavebeeninitiallydiscussedfromthetheoreticalpointof view,followedbyexperimentalanalysisonthepropertiesoftheHeusleralloysina bulk form. Based on the technical advancement in growth, these alloys have been growninathin-filmformoverthelastdecades.Thesefilmshaverecentlypatterned into a nanometre-scale junction for their device implementation. In such a nano-junction, the surface contributions dominate the overall properties and hence emphasisetheabovechallengesevenmorethanever.Itisthereforeagoodtimeto overview the development of the theory of the Heusler alloys as well as under- standing and improvement of the properties of the alloys. This book consists of seven parts from fundamental theory to device applica- tions. The first part focuses on the theory of Heusler compounds, including two chapters by the pioneering research groups on half-metallic Heusler alloys; theory ofHeuslerandfull-HeuslercompoundsbyGalanakisandbasicsandperspectivesof magnetic Heusler compounds by Felser. The properties of the alloys are described in the following part. Two techniques are used to characterise the alloys, i.e., spin-resolved photoemission (Aeschlimann) and nuclear magnetic resonance v vi Preface (Wurmehl) in the first two chapters. Their properties in nanometric scale (Hütten) aswellastheiratomicinteractions (Grin)areshownafterwards.Themagneticand electric properties of binary-form Heusler alloys (Coey) are then discussed. Their off-stoichiometric properties (Leighton) are also discussed at the end of the part. The third part highlights three major applications of the Heusler alloys; spin- tronics (Hirohata), thermoelectrics (Balke) and thermodynamics (James). These chaptersrefertotheadvantagesoftheusageofthesealloysaswellastheobstacles for their applications as related to the above challenges. Such applications rely on the two-dimensional form of the alloys, which is covered by the following part (Hono). The evaluation of the magnetic properties of these films is reviewed in Part V, including ultrafast optics (Hillebrands), Mössbauer spectroscopy (Mibu) and X-ray magnetic circular dichroism (Elmer). Inthe next part, further evaluation of these films in multilayered junctions is shown to study their giant magnetore- sistive (Takanashi) and tunnelling magnetoresistive behaviours (Mitani). The influence of their interfacial disorder (Yamamoto) and exchange coupling (O’Grady)ontotheirbehavioursarealsoexplainedinthelatterhalfofthispart.At theendofthisbook,newemergingapplicationsoftheHeusleralloysarediscussed, especially topological insulators (Chadov). Onbehalfoftheauthors,wesincerelywishthisbookservesasacomprehensive handbook of Heusler alloys in a timely manner and contributes to further devel- opment in this exciting research field. We are grateful to all the authors who spent their precious time and knowledge to realise this book. We also thank the tre- mendous technical support from Springer. Dresden Claudia Felser York Atsufumi Hirohata Contents Part I Theory of Heusler Compounds 1 Theory of Heusler and Full-Heusler Compounds . . . . . . . . . . . . . 3 Iosif Galanakis 1.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Semi-Heusler Compounds . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.1 Band Structure of Semi-Heusler Compounds . . . . . . . 6 1.2.2 Origin of the Gap. . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.2.3 Role of sp-Elements . . . . . . . . . . . . . . . . . . . . . . . . 11 1.2.4 Slater-Pauling Behavior. . . . . . . . . . . . . . . . . . . . . . 12 1.3 Full Heusler Compounds. . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3.1 Electronic Structure. . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3.2 Origin of the Gap in Full-Heusler Alloys. . . . . . . . . . 16 1.3.3 Slater-Pauling Behavior of the Full-Heusler Alloys. . . 17 1.4 Inverse Full-Heusler Compounds . . . . . . . . . . . . . . . . . . . . . 19 1.5 LiMgPdSn-Type Heusler Compounds . . . . . . . . . . . . . . . . . . 20 1.6 Disordered Quaternary Heusler Alloys. . . . . . . . . . . . . . . . . . 22 1.7 Half-Metallic Antiferromagnets. . . . . . . . . . . . . . . . . . . . . . . 23 1.8 Magnetic Semiconductors . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.9 Special Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 1.9.1 Exchange Constants and Curie Temperature. . . . . . . . 26 1.9.2 Defects and Vacancies. . . . . . . . . . . . . . . . . . . . . . . 27 1.9.3 Surfaces and Interfaces . . . . . . . . . . . . . . . . . . . . . . 28 1.10 Summary and Outlook. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2 Basics and Prospectives of Magnetic Heusler Compounds. . . . . . . 37 C. Felser, L. Wollmann, S. Chadov, G.H. Fecher and S.S.P. Parkin 2.1 Basics and Prospectives of Magnetic Heusler Compounds . . . . 37 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 vii viii Contents Part II Properties 3 Spin-Resolved Photoemission Spectroscopy of the Heusler Compound Co MnSi. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 2 Roman Fetzer, Martin Aeschlimann and Mirko Cinchetti 3.1 A Short Introduction to Spin-Resolved Photoemission Spectroscopy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 3.2 SR-PES at Co-based Full Heusler Surfaces . . . . . . . . . . . . . . 53 3.2.1 Spin- and Symmetry-Resolved PES at the Off-Stoichiometric Co2MnaSi Surface. . . . . . . . 54 3.3 SR-PES at the Co MnSi/MgO interface. . . . . . . . . . . . . . . . . 68 2 3.3.1 Low Energy SR-PES at the Off-Stoichiometric Co2MnaSi/MgO Interface. . . . . . . . . . . . . . . . . . . . . 70 3.3.2 Low Energy Spin- and Symmetry-Resolved PES at the Stoichiometric Co MnSi/MgO Interface. . . 76 2 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4 Structural Order in Heusler Compounds. . . . . . . . . . . . . . . . . . . 87 S. Wurmehl and M. Wójcik 4.1 Heusler Compounds—A Versatile Class of Functional Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.2 Types of Structural Order in Heusler Compounds. . . . . . . . . . 88 4.3 Methods for the Investigation of (local) Order in Heusler Compounds . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.3.1 Nuclear Magnetic Resonance Spectroscopy (NMR). . . 91 4.3.2 Mößbauer Spectroscopy. . . . . . . . . . . . . . . . . . . . . . 91 4.4 Examples of Structural Order in Heusler Compounds . . . . . . . 92 4.4.1 X YZ Heusler Compounds . . . . . . . . . . . . . . . . . . . 92 2 4.4.2 Heusler Compopunds with Inverse Structure . . . . . . . 97 4.4.3 Pseudo-Ternary Heusler Compounds with 4 Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 4.4.4 Co2Mn1(cid:1)xFexSi . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.4.5 Co2Mn1(cid:1)xFexAl . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 4.4.6 Co2Cr1(cid:1)xFexAl. . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 4.4.7 Co2Cr1(cid:1)xFexGa. . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 4.4.8 Co2FeAl1(cid:1)xSix . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 4.4.9 YXZ Heusler Compounds . . . . . . . . . . . . . . . . . . . . 102 4.5 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 Contents ix 5 Heusler Compounds Go Nano. . . . . . . . . . . . . . . . . . . . . . . . . . . 111 Judith Meyer, Niclas Teichert, Alexander Auge, Changhai Wang, Andreas Hütten and Claudia Felser 5.1 Identifying the Future Role of Heusler Nanoparticles for Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 5.1.1 Progress in Synthesizing Heusler Nanoparticles . . . . . 117 5.2 Nanoparticular GMR-Effect Based on Co FeGa 2 Nanoparticles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 5.3 The Limits for the Austenite-Martensite Transformation in Ultra-Thin Films. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 5.3.1 The Martensitic Transformation in Real Crystals and Thin Films. . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 5.3.2 The Martensitic Transformation in Ultra-Thin Films. . . . . . . . . . . . . . . . . . . . . . . . . 128 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 6 Chemical Bonding in MgAgAs-Type Compounds. . . . . . . . . . . . . 133 D. Bende, Yu. Grin and F.R. Wagner 6.1 Crystal Structure and Structural Relations . . . . . . . . . . . . . . . 133 6.2 Notions on Chemical Bonding in MgAgAs-Type Structures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 6.3 Real-Space Analysis of Chemical Bonding in MgAgAs-Type Compounds of the Main-Group Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 6.3.1 QTAIM Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 139 6.3.2 Electron Localizability Analysis . . . . . . . . . . . . . . . . 142 6.3.3 ELI-D/QTAIM Intersections. . . . . . . . . . . . . . . . . . . 144 6.4 Bonding Analysis of Some Related Compounds. . . . . . . . . . . 147 6.5 A Unified Bonding Concept. . . . . . . . . . . . . . . . . . . . . . . . . 148 6.6 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155 7 Magnetic and Electronic Properties of Thin Films of Mn-Ga and Mn-Ge Compounds with Cubic, Tetragonal and Hexagonal Crystal Structures. . . . . . . . . . . . . . . . . . . . . . . . 157 Huseyin Kurt and J.M.D. Coey 7.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 7.2 Crystal Structure and Magnetic Order . . . . . . . . . . . . . . . . . . 161 7.3 Thin Film Preparation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 7.4 Structural Characterization. . . . . . . . . . . . . . . . . . . . . . . . . . 168 7.5 Magnetic Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 7.6 The Zero-Moment Half-Metal. . . . . . . . . . . . . . . . . . . . . . . . 178 7.7 Electronic Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179

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This book gives an overview of the physics of Heusler compounds ranging from fundamental properties of these alloys to their applications. Especially Heusler compounds as half-metallic ferromagnetic and topological insulators are important in condensed matter science due to their potential in magnet
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