{"ModuleCode":"PC4240","ModuleTitle":"Solid State Physics II","Department":"Physics","ModuleDescription":"This module introduces students to elements of the physics of crystalline solids. Topics covered include: energy bands of the nearly free electron model, tight binding method, Fermi surfaces and their experimental determination, plasmons, polaritons and polarons, optical processes and excitons. We will also cover superconductivity, dielectrics and ferroelectrics, diamagnetism, paramagnetism, ferromagnetism and antiferromagnetism, and magnetic resonance. This module is targeted at physics majors, and is useful for science and engineering students who already have background knowledge of solid state physics on par with PC3235 Solid State Physics I.","ModuleCredit":"4","Workload":"3-1-0-1-5","Prerequisite":"PC3235 or equivalent","ExamDate":"2015-04-28T13:00+0800","ExamDuration":"P2H","ExamVenue":"S12-04-02","Types":["Module","UEM"],"Lecturers":["Ong Chong Kim"],"IVLE":[{"Announcements":null,"Forums":[],"Workbins":[],"Webcasts":[],"Gradebooks":[],"Polls":[],"Multimedia":[],"LessonPlan":[],"ID":"515a1167-bae8-4586-9870-93262a28b225","CourseLevel":"1","CourseCode":"PC4240","CourseName":"SOLID STATE PHYSICS II","CourseDepartment":"","CourseSemester":"Semester 2","CourseAcadYear":"2014/2015","CourseOpenDate":"/Date(1415030400000+0800)/","CourseOpenDate_js":"2014-11-04T00:00:00","CourseCloseDate":"/Date(1431187140000+0800)/","CourseCloseDate_js":"2015-05-09T23:59:00","CourseMC":"0","isActive":"N","Permission":"S","Creator":{"UserID":null,"Name":"Cheong Mun Yin","Email":null,"Title":null,"UserGuid":"2557ff37-0a38-4995-b54a-ba01a9c63fe8","AccountType":null},"hasGradebookItems":true,"hasTimetableItems":true,"hasGroupsItems":false,"hasClassGroupsForSignUp":false,"hasGuestRosterItems":false,"hasClassRosterItems":true,"hasWeblinkItems":false,"hasLecturerItems":true,"hasDescriptionItems":true,"hasReadingItems":true,"hasAnnouncementItems":false,"hasProjectGroupItems":false,"hasProjectGroupsForSignUp":false,"hasConsultationItems":false,"hasConsultationSlotsForSignUp":false,"hasLessonPlanItems":false,"Badge":0,"BadgeAnnouncement":0,"WebLinks":[],"Lecturers":[{"ID":"074d297d-fd68-4724-ac50-d1fa2a51711e","User":{"UserID":null,"Name":"Ong Chong Kim","Email":null,"Title":null,"UserGuid":"8f98ae1a-393a-4a5e-9207-7cb0dbddf9d3","AccountType":null},"Role":"Lecturer ","Order":1,"ConsultHrs":null}],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"This module introduces students to elements of the physics of crystalline solids. Topics covered include: energy bands of the nearly free electron model, tight binding method, Fermi surfaces and their experimental determination, plasmons, polaritons and polarons, optical processes and excitons. We will also cover superconductivity, dielectrics and ferroelectrics, diamagnetism, paramagnetism, ferromagnetism and antiferromagnetism, and magnetic resonance. This module is targeted at physics majors, and is useful for science and engineering students who already have background knowledge of solid state physics on par with PC3235 Solid State Physics I.","Order":1},{"ID":"2e5f053b-8835-4692-be49-41f07234cfff","Title":"Prerequisites","Description":"PC3235 or equivalent (Ch 1 to 8 of Kittel's book)","Order":2},{"ID":"6e5f053b-8835-4692-be49-41f07234cfff","Title":"Syllabus","Description":"Lecture1 is on band theory: The SI and Gaussian unit used in the module are discussed; different level of approximations in solving wave equation of electron in a periodic potential,such as free electron model, nearly free electron model, Kronig-Penny modeland Central equation are discussed;Derivation of the cental equation and its solution near a zone boudary are discussed in detail.
\n
\nLecture 2 is on Fermi surface: We first introduce the description of Free surface in the framework of free electron and nearly free elctron model. monovalent and divalent solid are used as examples. Effect of electric and magnetic field on the motion of electron in Fermi Surface are discussed in details, including quantisation of orbits, Landau level and De Haas-van Alphen effect and its appliation in Fermi surface determination. Tight Binding for energy band is introducfed. sc and fcc are used as examples
\n
\nLecture 3 is on Superconductivity: the lecture starts with the history of the development of superconductivity,layman's level in explaining BCS theory for low temperature and high Tc superconductivity and some experimental survey and simple theory. Microscopic theory such as London Eqn to explain Meissner effect will be derived and introducing penetration deptgh. Coherence length will be derived from argument for the energy required to modulate the superconducting electron concentration;flux quantisation in a superconducting ring will be discussed and leading to SQUID. Dc and Ac josephson effect will be discussed. Type II superconductor and vortex will be introduced.
\n
\nLecture 4 is on diamagnetism and paramagnetism:Explain the term magnetic moment and angular momentum of an electron in free space and their relationship. Concept of diamagnetic moment of a revolving electron is introduced. Larmor theorem are introduced to explain precession of the magnetic moment in magnetic field and derive the expression for Larmor frequency; Quantum description of angular momentum and magnetic moment are described and Lande g factor is introduced. Bothclassical Langevin theory and quantum theory of diamagnetism are derived in detail. Comparison theirv results with experimental data and their agreement and deviation are discussed. Quantum description of paramagnetism of an atom leading to Curie-Brillouin law are derived and comparision with experimental results are made.Hund rules to calculate the angular momentum from the electron configuration in its unfilled shell are described. The fifference between localised electron and conduction electron in contributing to magnetisation are discussion leading to Pauli paramagnetism.
\n
\nLecture 5 is on Ferromagnetism,magnon,neutron diffraction method,domain and and antiferomagnetism. The three characteristic features of ferromagnetism, spontaneous magnetisation,Curie temp,anisotropy,internal exchanged field . Effect of band structure on magnetsm is also discussed. Weiss mean field theory will be discussed in detail to explain the exchange interaction in FM.Temperature dependence of Magnetisation will be calculated. Heisenberg model is used to derive disperson relation of magnons and derive Bloch T3/2 law. Neutron diffraction method to determine ferromagnetic magnetic structure and AFM structur and magnon dispersion as well. Domain theory abd calculation ofdomain wall width will be discussed
\n
\nLecture 6 is on magnetic resonance. We discuss dynamical magnetic effects associated with the spin angular momentum of nuclei and electron. We discuss NMR in discuss as it is a basis for other resonance experiment. Ferromagnetic resonance will be discuss in some details.
\n
\nLecture 7 is on elementry excitations: Starting from the dielectric function , we describes the collective excitations of Fermi sea, such as plasmons in one of the limit of the dielectric function. In the other limit, we describe the electrostatic screening of the electron-electron,electron-lattice and electron-impurity interactions in crystals. This includes Mott metal-insulator transition. we will also use the dielectric function of an ionic crystal to derive the polariton spectrum. Later we discuss the propertis of polarons
\n
\nLecture 8 is on Optical spectroscopy to determine diectric function. This involve Kramers-Kronig relations to determine the phaseof measured optical reflectance. Linear response theory will be discussed in some depth.Optical spectroscopy methods such as Raman ;x-ray spectroscopy and energy loss of fast particles in a solid will be discussed. Simple theory and spectrum of exciton will be introduced
\n
\nLecture 9 is on ferroelectricy. We shall relate the applied electric to the internal electric field in a dielectric crystal. The relations between the dielectric polarisation and the macroscopic electric field in the maxwell ern and the local field acts at the site of atoms will be carefully described. Lorentz cavity will be used to calculate the local electric field. Relation between polarization, dielectric constant and polarisabity ,including Clausius-Mossotti will be described. classification of ferroelectricity crystal,ferroelectric domain and piezoelectricity will be introduced. Landau's theory will be used to explain ferroelectricity","Order":6},{"ID":"3f872088-9d43-47a5-90f9-908877807662","Title":"Workload","Description":"3-1-0-1-5
Workload Components : A-B-C-D-E \r\n
A: no. of lecture hours per week \r\n
B: no. of tutorial hours per week \r\n
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E: no. of hours for preparatory work by a student per week","Order":9}],"ReadingFormatted":[{"ID":"4f321097-b8ed-43c6-8221-d94d25a1f480","Title":"introduction to solid state physics","Author":"charles kittel","Edition":"8e","PubYear":"","ISBN":"","Publisher":"","BookType":"Compulsory","AdditionalInfo":"","CompWebsite":"","Order":1}],"ReadingUnformatted":[]}],"Timetable":[{"ClassNo":"SL1","LessonType":"Lecture","WeekText":"Every Week","DayText":"Monday","StartTime":"1200","EndTime":"1400","Venue":"S12-0403"},{"ClassNo":"SL1","LessonType":"Lecture","WeekText":"Every Week","DayText":"Thursday","StartTime":"1200","EndTime":"1400","Venue":"S12-0403"}],"CorsBiddingStats":[{"AcadYear":"2014/2015","Semester":"2","Round":"1A","Group":"Lecture Sl1","Quota":"30","Bidders":"5","LowestBid":"1","LowestSuccessfulBid":"1","HighestBid":"100","Faculty":"Science","StudentAcctType":"Returning Students [P]"},{"AcadYear":"2014/2015","Semester":"2","Round":"1B","Group":"Lecture 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