Gaia
Fisika estatistiko kuantikoa eta materia kondentsatua
Gaiari buruzko datu orokorrak
- Modalitatea
- Ikasgelakoa
- Hizkuntza
- Ingelesa
Irakasleak
Izena | Erakundea | Kategoria | Doktorea | Irakaskuntza-profila | Arloa | Helbide elektronikoa |
---|---|---|---|---|---|---|
BLANCO PILLADO, JOSE JUAN | Euskal Herriko Unibertsitatea | Ikerbaske Bisitaria | Doktorea | Elebakarra | Fisika Teorikoa | josejuan.blanco@ehu.eus |
BLANCO REY, MARIA | Euskal Herriko Unibertsitatea | Doktore Ikertzaileak | Doktorea | Elebakarra | Materia Kondentsatuaren Fisika | maria.blanco@ehu.eus |
SIEWERT , JENS | Euskal Herriko Unibertsitatea | Ikerbaske Bisitaria | Doktorea | Elebakarra | Kimika Fisikoa | jens.siewert@ehu.eus |
Gaitasunak
Izena | Pisua |
---|---|
Problemak askatzea | 70.0 % |
Gai teorikoen ezagutza eta aurkezteko gaitasuna | 15.0 % |
Gai zerrendan esplizituki agertzen ez den kuestio baten aurkezteko gaitasuna | 15.0 % |
Irakaskuntza motak
Mota | Ikasgelako orduak | Ikasgelaz kanpoko orduak | Orduak guztira |
---|---|---|---|
Magistrala | 30 | 40 | 70 |
Mintegia | 10 | 10 | 20 |
Gelako p. | 10 | 25 | 35 |
Ebaluazio-sistemak
Izena | Gutxieneko ponderazioa | Gehieneko ponderazioa |
---|---|---|
Idatzizko azterketa | 67.0 % | 67.0 % |
Lan praktikoak | 33.0 % | 33.0 % |
Ohiko deialdia: orientazioak eta uko egitea
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la que será informado el alumnado puntualmente.
Irakasgai-zerrenda
- Second quantization: Second quantization. Harmonic oscillator. Displaced harmonic oscillator. Non-interacting Fermion and Boson fields. Application in some simple examples with exact solutions. Numerical solution of simple Hamiltonians.- Green’s function approach: Interaction representation and perturbative expansion. Wick’s theorem. Feynman diagrams. Self-energy operator. Dyson equation.
- Green’s function at finite temperature: Retarded and advanced Green’s functions. Matsubara frequencies and Matsubara summations. Response function. Analytic continuation methods.
- Application to an exactly solvable problem: Potential scattering.
- Strongly correlated systems: Hubbard’s Hamiltonian and Green’s-function based approximations (equation of motion, Hubbard-I, DMFT). Effective low-energy models (Löwdin’s downfolding). t-J model.
- Magnetic excitations: Heisenberg Hamiltonian. Magnons.
- Phenomenology of superconductivity: Superconducting materials - absence of low-energy excitations; isotope effect; the Meissner-Ochsenfeld effect; perfect diamagnetism; type I and type II superconductivity. London theory, flux quantization and Ginzburg-Landau equations.
- Electrons in metals: Non-interacting Fermi gas; second quantization for fermions; distribution function for non-interacting Fermi gas; electron-phonon interaction; repulsive and attractive electron-electron interaction.
- The BCS theory of superconductivity: Mean-field Hamiltonian; Cooper pairs; the BCS wave function; energy gap and quasiparticle states; the critical temperature; electron tunneling between normal and superconducting metals.
- The Josephson effect: Cooper-pair tunneling between superconductors.
Inhomogeneous superconductors: Bogolubov-deGennes equations; Andreev reflection; Andreev bound states.
Bibliografia
Oinarrizko bibliografia
- N.W. Ashcroft and N.D. Mermin, Solid State Physics (Saunders College Publishing, Fort Worth, 1976)- Henrik Bruus, Many-body quantum theory in condensed matter physics: an introduction. Oxford University Press, 2004.
- Patrick Fazekas, Lecture Notes on Electron Correlation and Magnetism, World Scientific, 1999.
- P.G. de Gennes, Superconductivity of Metals and Alloys, Benjamin 1966.
- Ottfried Madelung, Introduction to Solid-State Theory, Springer, 2012.
- Gerald D. Mahan, Many-Particle Physics (3rd Edition). Springer Science 2000
- M. Tinkham, Introduction to Superconductivity, 2nd Edition, McGraw-Hill 1996.
- Robert M. White, Quantum Theory of Magnetism, Springer, 2007.
- J.M. Ziman, Principles of the Theory of Solids (Cambridge University Press, Cambridge, 1972).