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Graduate Texts in Physics Heinz Kalt · Claus F. Klingshirn Semiconductor Optics 1 Linear Optical Properties of Semiconductors Fifth Edition Graduate Texts in Physics Series Editors Kurt H. Becker, NYU Polytechnic School of Engineering, Brooklyn, NY, USA Jean-Marc Di Meglio, Matière et Systèmes Complexes, Bâtiment Condorcet, Université Paris Diderot, Paris, France Sadri Hassani, Department of Physics, Illinois State University, Normal, IL, USA Morten Hjorth-Jensen, Department of Physics, Blindern, University of Oslo, Oslo, Norway Bill Munro, NTT Basic Research Laboratories, Atsugi, Japan Richard Needs, Cavendish Laboratory, University of Cambridge, Cambridge, UK William T. Rhodes, Department of Computer and Electrical Engineering and Computer Science, Florida Atlantic University, Boca Raton, FL, USA Susan Scott, Australian National University, Acton, Australia H. Eugene Stanley, Center for Polymer Studies, Physics Department, Boston University, Boston, MA, USA Martin Stutzmann, Walter Schottky Institute, Technical University of Munich, Garching, Germany Andreas Wipf, Institute of Theoretical Physics, Friedrich-Schiller-University Jena, Jena, Germany GraduateTextsinPhysicspublishescorelearning/teachingmaterialforgraduate-and advanced-levelundergraduatecoursesontopicsofcurrentandemergingfieldswithin physics, both pure and applied. These textbooks serve students at the MS- or PhD-levelandtheirinstructorsascomprehensivesourcesofprinciples,definitions, derivations,experimentsandapplications(asrelevant)fortheirmasteryandteaching, respectively.Internationalinscopeandrelevance,thetextbookscorrespondtocourse syllabisufficientlytoserveasrequiredreading.Theirdidacticstyle,comprehensive- nessandcoverageoffundamentalmaterialalsomakethemsuitableasintroductions orreferencesforscientistsentering,orrequiringtimelyknowledgeof,aresearchfield. More information about this series at http://www.springer.com/series/8431 Heinz Kalt Claus F. Klingshirn (cid:129) Semiconductor Optics 1 Linear Optical Properties of Semiconductors Fifth Edition 123 Heinz Kalt ClausF. Klingshirn Institute of Applied Physics Institute of Applied Physics Karlsruhe Institute of Technology Karlsruhe Institute of Technology Karlsruhe, Baden-Württemberg, Germany Karlsruhe, Baden-Württemberg, Germany ISSN 1868-4513 ISSN 1868-4521 (electronic) Graduate Textsin Physics ISBN978-3-030-24150-6 ISBN978-3-030-24152-0 (eBook) https://doi.org/10.1007/978-3-030-24152-0 Originallypublishedasamonograph ©SpringerNatureSwitzerlandAG1995,2005,2007,2012,2019 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 orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. 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, expressed or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland To Elisabeth, Patrick and Sebastian Preface Semiconductors materials are nowadays found in an uncountable number of optoelectronic devices and applications assisting our everyday life. Examples are light-emitting diodes providing lighting in houses and cars, semiconductor lasers used for the transmission of data in the Internet or of telephone calls, solar cells converting sun light into electric current, and optical sensors including the camera chip integrated in our smartphones. Realization of such high-performance devices is only possible, if the under- standing of the semiconducting properties of the employed materials and related structures is well developed. The quantum mechanical properties of electrons in semiconductors are well described by the concepts of quasi-particles, effective mass,bandstructures,etc.,whichwewillillustrateindetailinthisbook.Additional quantizationofquasi-particlepropertieshasbeenintroducedartificiallybyreducing thedimensionalityofsemiconductorstructuresto(quasi-)two(quantumwells),one (quantum wires), and zero dimensions (quantum dots). We shall also treat these aspectsinthisbookindetail.Then,thequantumwellshavebeenstackedseparated bynarrowbarrierstoformsuperlattices,quantumdotshavebeenassembledtoform one-,two-,orthree-dimensionalarrays,andphotonicatomsareputtogethertoform photonic crystals’ various dimensions. All of this is nowadays used to improve or even create new optoelectronic devices. In this sense, one has the impression that the field of semiconductor science, includingoptics,tendstowardmaturity.Butthereareconstantlynewfieldsofbasic and applied semiconductor research coming up. For example, in the case of the Group-III Nitrides used, e.g., in Blu-ray disk players or white light-emitting diode (LEDs), material science was able to fabricate highly efficient devices, while a thorough understanding of electronic and optical properties was still missing. Optimization of the properties and in particular the development of green-emitting nitride-basedlaserdiodesneededextensivecollaborativeresearchefforts.Afterthe explodinginterestinZnO,oneofthenewstarsinthesemiconductorcommunityare organic/inorganic metal-halide Perovskites. These materials show enormous potentialforapplications,e.g.,inthin-filmsolarcellsbutstillneedtobedeveloped further.Equallypromisingaremonolayersemiconductorswhichopenupnewareas vii viii Preface of physics due to their outstanding properties (quasi-relativistic electrons, spin-valley coupling). Often materials are incorporated in photonic structures like optical cavities to explore new physics like polariton condensation or possible applications like single-photon emitters and quantum information technologies. It is obvious that semiconductor optics will be an active and exciting field of research for the next decades. We are convinced that a comprehensive knowledge of semiconductor optics as presented in this book is essential for further innovations. In this light, the aim of this book is to explain the optical properties of semi- conductorsinthevisiblepartandtheadjacentinfraredandultravioletregionsofthe electromagneticspectrum.Wewanttoelucidatetheinteractionoflightwithvarious quasi-particle excitations of semiconductors like phonons, electrons, excitons, etc. Thiswillnotonlyallowustounderstandthepropagationoflightinthematerialas wellasitsabsorptioninthebulkanditsreflectionandrefractionatinterfaces.From the knowledge of this interaction, we will learn how to reveal the intrinsic prop- ertiesofsemiconductorsbyopticalspectroscopy.Wewillfurtherseehowemission, absorption, or modulation of light by semiconductors can be utilized for the mul- titude of applications mentioned above. The idea is to evoke in the reader an intuitive phenomenological understanding of the physical concepts and foundations of semiconductor optics. The mathe- matical apparatus is thus developed as simple as possible but elaborate enough to describe the main semiconductor properties and their experimental signatures. In this spirit, this present textbook is not only suitable for graduate and postgraduate students of physics, but also for students of neighboring disciplines, such as materialscienceandelectronics.Theprerequisitesforthereaderareanintroductory or undergraduate course in general physics and some basic knowledge in atomic physics and quantum mechanics. Comprehension of solid-state physics will facil- itatereadingofthisbook,althoughthebasicconceptswillalwaysbeoutlinedhere. Contentandstructureofthistextbooksupporttheconceptsofresearch-oriented teaching. The reader is provided with a solid theoretical and phenomenological background. The latter is illustrated by schematic drawings and by a multitude of experimental results mainly from optical spectroscopy. Important experimental techniquesusedtoproducetheresultsaredescribedininserts.Problemsareissued toapplytheteachingandlearningcontenttorealisticexamplesandtoexploremore advanced topics in the literature. We also give ample reference to original publi- cations to motivate further reading and facilitate deeper studies of summarized content. Finally,somecommentsshouldbemadeonthenewappearanceandstructureof thisbook.Mostimportant,afterC.Klingshirnretiredacoupleofyearsagoitwasa natural consequence that I took over the further development of this textbook. I have taught courses on “Semiconductor Optics” for many years starting in 1987 duringmypostdocperiodatNorthTexasStateUniversityinDenton(Texas).These courses were based to a large extent on the tutorials I previously attended as a doctoral candidate in C. Klingshirn’s research group. After finally becoming a colleague of C. Klingshirn at Universität Karlsruhe (TH), we joined forces in our Preface ix research activities. About 30 years of close interaction in research, teaching, and academic life had a fruitful impact not only on my vocational career. Many joint research results as well as didactic concepts developed during this period of close cooperation are documented in this book. I already mentioned the continuous evolution of semiconductor optics over the years. This has made the textbook on Semiconductor Optics to grow considerably in size up to the forth edition of 2012. A rearrangement of the content and its presentation was necessary for this new edition. The book has been split into two volumes to be able to accommodate new research topics like monolayer semi- conductors, spin optoelectronics, or excitonic condensates in an appropriate way. On the other hand, consolidation of some of the previous content was necessary. The first volume of this textbook contains the topics related to linear optical properties. We will outline the content in the introduction (Chap. 1). The second volume will cover the topics nonlinear optics, high excitation phenomena, quasi-particleinteraction,coherenceandrelaxationdynamicsofopticalexcitations, and new phases of such excitations like the electron–hole plasma and liquid or excitonic condensates. Phenomena like optical bistability, single-photon emission, optical gain or spin storage and manipulation will be covered as well as their applications in photonics, optoelectronics, and quantum information. Karlsruhe, Germany Heinz Kalt February 2019 Acknowledgements I am most grateful to Claus Klingshirn who introduced me to the area of semi- conductor optics. He taught me that a descriptive approach is essential for the successful teaching of comprehensive topics and that an intuitive understanding of physic helps progressing research. I was lucky to have had caring mentors who promoted my career not only by providing financial support, but also by valuable advice and through teaching. ParticularmentioningdeserveClausKlingshirn(formerlyatJ.W.GoetheUniversität zuFrankfurt,UniversitätKaiserslauternandUniversitätKarlsruhe(TH)),ArtSmirl (formerly at Center for Applied Quantum Electronics, NTSU, Denton), as well as WolfgangRühleandHans-JoachimQueisser(bothformerlyatMaxPlanckInstitut fürFestkörperforschung,Stuttgart). Iprofitedalotfrominspiringdiscussionsandfruitfulscientificcooperationwith a multitude of colleagues. There are too many to name them all. I only want to explicitly thank Klaus Bohnert and Vadim Lyssenko who supported me with their knowledge and patience when I started into new chapters of my scientific career. I also want to thank Michael Hetterich for many years of common research and teaching in semiconductor optics. It was fun and fulfilling to teach or supervise a host of students, doctoral researchers,andpostdocs.Theirbrilliantideasandsometimesdemandingquestions essentiallyformedmyscientificknowledgeandunderstanding.Manyofthesecon- tributionsledtowell-receivedpublicationsandfoundtheirmentioninginthisbook. Finally, I want to acknowledge the valuable contributions of Kurt Hümmer to the appendix on group theory. Karlsruhe, Germany Heinz Kalt February 2019 xi

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