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INTRODUCTION TO SOLID STATE

CODE 94801
ACADEMIC YEAR 2021/2022
CREDITS
  • 6 cfu during the 1st year of 9017 SCIENZA E INGEGNERIA DEI MATERIALI (LM-53) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR FIS/03
    LANGUAGE English
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 2° Semester
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course explores the basic principles of solid materials explained at the microscopic level. It will introduce concepts about atomic order and arrangements, chemical bonding, atomic and electron dynamics in solids to understand the difference between metals, semiconductors, and insulators. 

    AIMS AND CONTENT

    LEARNING OUTCOMES

    Achieving a thorough understanding of the properties solids at the microscopic level. Students will master the concepts of crystal lattice, lattice dynamics, electronic band structure, dielectric response and electronic excitations, magnetic properties and excitations, as well as the origin of metallic, semiconductor and insulator behavior

    AIMS AND LEARNING OUTCOMES

    The course explores the basic principles of solid materials explained at the microscopic level. It will introduce concepts about atomic order and arrangements, chemical bonding, atomic and electron dynamics in solids to understand the difference between metals, semiconductors, and insulators. Experiments will be performed to introduce important concepts as wavevector, frequency, interference, diffraction, photoemission, Hall effect.

    PREREQUISITES

    Basic knowledge in Quantum Mechanics

    TEACHING METHODS

    Mainly frontal lectures. Laboratory excercises will help the students to understand the concepts of crystal lattice, diffraction and resonance phenomena. The students will write reports on the experiments.

    SYLLABUS/CONTENT

    Content:

    The course consists of frontal lectures as well as laboratory trainings

    Theoretical part: frontal classes

    Condensed Matter and Quantum mechanics:

    • Failure of classical mechanics in the description of condensed matter.
    • Properties associated with the discreteness of matter: normal modes and phonons.
    • Concept of wavevector, its quantization in on the lattice and phonon density of states.
    • The heat capacity of a solid: Einstein and Debye models.
    • Chemical bonds, unit cell and symmetry properties.
    • Concept of direct and reciprocal space.
    • Probing the crystal lattice: scattering of electrons, neutrons and X rays off three and two-dimensional lattices.

    The electronic and optical properties:

    • Free electron gas in electric and magnetic fields.
    • Fermi Dirac statistics and the specific heat of an electron gas.
    • The Fermi energy, wavevector and surface of a solid.
    • The band structure and the single particle approximation for the valence electrons.
    • Dielectric response function, plasmon and surface plasmon.
    • Photoemission spectroscopy and work function.
    • The tight binding model: valence and conduction bands, metals, semiconductors and insulators. Electrons and holes , and their ffective mass.
    • Doping of semiconductor, semiconductor junctions and devices.

    Magnetism:

    • The various magnetic properties of a solid: para, dia, ferri and ferro-magnetism.
    • The magnetism of conduction electrons: Pauli paramagnetism and Landau diamagnetism.
    • Magnetic anisotropy, magnetic domains and hysteresis.
    • Understanding magnetism: Heisenberg Hamiltonian and Hubbard model for ferromagnetism.

    Superconductivity:

     

    • The superconducting state, critical temperature, current and magnetic field
    • The mechanism of correlation: Cooper pairs and the formation of the energy gap
    • BCS theory and the Bose condensate

    Laboratory training:

    • Vibrational properties of a swinging string and resonance properties of diapasons.
    • The resonance conditions in electronic circuits.
    • Diffraction of light from a one and a two dimensional lattice.
    • Low energy electron diffraction from a crystalline surface.
    • Measurement of the Hall effect.
    • Measurement of the threshold frequency in photoemission.

    RECOMMENDED READING/BIBLIOGRAPHY

    Lecture Notes for Solid State Physics, Steven Simon

    “Solid State Physics: An Introduction to Principles of Material Science”, Harald Ibach, Hans Lueth, fourth Edition Springer Verlag

     

    TEACHERS AND EXAM BOARD

    Exam Board

    MARIO AGOSTINO ROCCA (President)

    GIANANGELO BRACCO

    GIOVANNI CARRARO (President Substitute)

    LESSONS

    LESSONS START

    Lectures will follow the academic calender of the Second Semester of the Laurea Magistrale  in Scienza ed Ingegneria dei Materiali starting in the Middle of February and ending by the end of May.

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    The students will be examined orally. They will have to expose one topic of their own choice and another proposed by the exam committee. In order to reach the sufficiency (18/30) the student will have to show to master the topics at the basic level and to be able to expose them appropriately.

    ASSESSMENT METHODS

    The student will have handed in reports on the laboratory experiments. He/she will be asked to expose orally at the blackboard a topic of his/her choice. The exposition of a second topic will be asked by the jury. For both topics the student must show to master the basic knowledge and to be able to expose them appropriately 

    Exam schedule

    Date Time Location Type Notes
    21/01/2022 15:00 GENOVA Orale
    09/02/2022 15:00 GENOVA Orale
    10/06/2022 09:30 GENOVA Orale
    16/06/2022 15:00 GENOVA Orale
    05/07/2022 09:30 GENOVA Orale
    21/07/2022 15:00 GENOVA Orale
    08/09/2022 15:00 GENOVA Orale