Condensed Matter Physics
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2020/2021 - 2S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
To aquire kowledge of the fundamental paradigms of condensed matter physics, in particular with regard to the crystalline state. To integrate these paradigms with knowledge of Quantum Mechanics and Thermal Physics. To familiarize oneself with some of the fundamental techniques for material characterization. To understanding the metallic state, its thermodynamic properties and transport. To introduce the physical basis of semiconductors and their applications.
Learning outcomes and competences
To have the the ability to derive some of the basic results of the models studied and of finding answers to relatively elementary extensions of the models
, demonstrating understanding of the basic principles and their relationships.
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
Knowledge of Quantum Mechanics, Statistical Physics, Thermodynamics and Electromagnetism.
Program
Note: A&M = Ashcroft and Mermin. Example of a model in condensed matter: the Drude model and the transport and optical properties of metals.[A&M Chap. 1] The Sommerfeld model and Fermi-Dirac statistics. Fermi level and Fermi wavevector. Concept of density of states. Density of states in 3D, 2D and 1D. Specific heat and Pauli susceptibility of a gas of electrons.[A&M Chap. 2,3] Elastic scattering of radiation and structure. Short and long range order. Diffraction of radiation by crystals. Reciprocal lattice, the Bragg condition, crystal planes and Miller indices. Experimental geometries of diffraction [A&M Chap. 4-6] Electrons in a periodic lattice. Bloch's theorem. Concept of Brillouin Zone. Quasi-free electron bands. Degeneracies and opening gaps. Tight -binding models: relationship with LCAO methods. Wannier states and tight-binding parameterization of bands. Examples of bands: bands of aluminum; bands of Si and Ge; bands of graphene.[A&M Chaps. 8 -10] Semi-classical motion in bands. The insulator of bands (or Wilson). Semi-classical motion in external fields. Electrons, holes and Hall effect.[A& M Chaps. 12 e 13] The harmonic lattice; Einstein Model and specific heat. Normal modes, phonons and quantification. Debye model, the phonon density of states and specific heat of the harmonic lattice.[A&M Chaps. 22 e 23]
Mandatory literature
Marder Michael P. 1960-;
Condensed matter physics. ISBN: 0-471-17779-2
Ashcroft Neil W.;
Solid state physics. ISBN: 9780030839931
Complementary Bibliography
Ziman J. M.;
Principles of the theory of solids. ISBN: 0-521-08382-6
Singleton John;
Band theory and electronic properties of solids. ISBN: 0-19-850644-9
Teaching methods and learning activities
Lectures, problem classes, private study.
Evaluation Type
Distributed evaluation with final exam
Assessment Components
designation |
Weight (%) |
Exame |
75,00 |
Trabalho escrito |
25,00 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Estudo autónomo |
113,00 |
Frequência das aulas |
49,00 |
Total: |
162,00 |
Eligibility for exams
Accordingly to the Assessment Rules of FCUP
Calculation formula of final grade
.
Classification improvement
Exam