ECTS credits ECTS credits: 3
ECTS Hours Rules/Memories Student's work ECTS: 51 Hours of tutorials: 3 Expository Class: 9 Interactive Classroom: 12 Total: 75
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: Applied Physics
Areas: Electromagnetism
Center Faculty of Physics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
This subject argues the fundamental concepts for understanding the effects due to electronic correlations that are the base for the appearance of collective phenomena in the matter. They are objective specific:
- Familiarize the student with the concept of quasiparticle and of the simplest collective state: Fermi liquid.
- Understanding the concept of correlation and its implications in the electrical and magnetic properties of the matter.
In this subject the student shall acquire and practise a series of basic competitions, desirable in any basic degree, and specific competencies in the field of strongly correlated electron systems and its implications in basic science and technology. There will be specific competencies:
- Understand the concept of quasiparticle and its application to the collective states of metals.
- Understand the magnetism as a collective quantum phenomenon.
- Understand the limits of itinerant and localized magnetism.
- Handle the basic concepts of a Hubbard model applied to a metal-insulator transition
1. Hubbard Model. Metal-Insulator Transitions: Anderson and Mott. Antiferromagnétic, ferromagnetic, metallic, insulater and supercondutor phases.
2. Integer and Fractionary Hall Quantum Effects. Chern-Simons Topological Model of the Electrodynamics. Electrons as strongly correlated quasi partícules.
3. Topological Insulators and graphene. Topological structure of the bands: Krammer's theorem. Quantum Spin Hall Efect. Efective relativistic effects.
Basic bibliography:
- P. Fazekas, “Lecture notes on electron correlation and magnetism”, World Scientific (2003).
Complementary bibliography:
- Piers Coleman, “Introduction to many-body physics”, downloadable from the author's website: http://www.physics.rutgers.edu/~coleman/620/mbody/pdf/bkx.pdf
- M. Sigrist, “Solid State Theory”, downloadable class notes from the author's website: http://www.itp.phys.ethz.ch/education/fs13/sst/Lecture-Notes.pdf
- M. P. Marder, “Condensed matter physics”, John Wiley & Sons (2000).
- G. Grosso, G. P. Parravicini, “Solid state physics”, Academic Press (2000).
- P. L. Taylor, O. Heinonen, “A quantum approach to condensed matter physics”, Cambridge Press (2002).
- G. D. Mahan, “Condensed matter in a nutshell”, Princeton University Press (2011).
- A. Auerbach, “Interacting electrons and quantum magnetism”, Springer-Verlag (1994).
- Shun-Qing Shen,Topological Insulators :Dirac Equation in CondensedMatters, Springer-Verlag (2012)
- Bernavig B. Andrei, Topological Insulators and Topological Superconductors, Universitiy Princenton Press (2013)
BASIC
CB6 - Possess and understand knowledge that provides a basis or opportunity to be original in the development and / or application of ideas, often in a research context
CB7 - Knowledge about how to apply the knowledge acquired and their ability to solve problems in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their area of study
CB8 - Ability to integrate knowledge and face the complexity of making judgments based on information that, being incomplete or limited, includes reflections on social and ethical responsibilities linked to the application of their knowledge and judgments
CB9 - Ability to communicate conclusions and the knowledge and ultimate reasons that sustain them to specialized and non-specialized audiences in a clear and unambiguous way
CB10 - Learning skills allowing to continue studying in a way that will be largely self-directed or autonomous.
GENERAL
CG01 - Acquire the ability to perform team research work.
CG02 - Be able to analyze and synthesize.
CG03 - Acquire the ability to write texts, articles or scientific reports according to publication standards.
CG04 - Become familiar with the different modalities used to disseminate results and disseminate knowledge in scientific meetings.
CG05 - Apply knowledge to solve complex problems.
TRANSVERSAL
CT01 - Ability to interpret texts, documentation, reports and academic articles in English, scientific language par excellence.
CT02 - Develop the capacity to make responsible decisions in complex and / or responsible situations.
SPECIFIC
CE08 - Acquire an in-depth knowledge of the structure of matter in the low energy regime and its characterization ..
CE09 - Master the set of tools necessary to analyze the different states of matter.
The teaching activities will be of several types: theory classes, seminars (both on the board and using the available computational resources), problem solving classes. The participation of the student will be essential in the seminars and problem soving classes. Likewise, students will have office hours at their disposal for the individual discussion of all the doubts that arise on the content of the subject.
The attendance to the classes will be mandatory and the evaluation will be continuous. It will be based on solving exercises and/or the realisation of a monographic work on a subject from the recent bibliography of interest for the course.
Activity Weight in the global note
Problems sets Until 70%
Monographic work Until 30%
There will be also an examination in the date scheduled by the deanship for those students that do not pass the continuous evaluation or want to increase their mark.
The fraudulent performance of any exercise or test required in the
evaluation of a subject will imply the qualification of failure in the
corresponding call, regardless of the disciplinary process that may be
followed against the offending student. It is considered fraudulent,
among others, the performance of plagiarized work or work obtained from
sources accessible to the public without reworking or reinterpretation
and without citation of the authors and sources.
Theory Seminar. Practical Office hours Personal work and other act. Total work of student
20 10 -- 1 44 75
To know Solid State Physics, Quantum Mechanics and it would be very good a basic of Quantum Field Theory.
Francisco Javier Castro Paredes
Coordinador/a- Department
- Applied Physics
- Area
- Electromagnetism
- Phone
- 881814022
- franciscojavier.castro.paredes [at] usc.es
- Category
- Professor: University Lecturer
| Wednesday | |||
|---|---|---|---|
| 12:00-13:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| Thursday | |||
| 12:00-13:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| Friday | |||
| 12:00-13:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| 05.26.2023 10:00-12:00 | Grupo /CLE_01 | Classroom 5 |
| 07.05.2023 16:00-18:00 | Grupo /CLE_01 | Classroom 5 |