Argomenti del programma: A) Introduction to the theory of electron liquids (6 hrs) Jellium model and Coulomb interaction regularization; the electron density as coupling constant; real-space orbital-based representation: Slater determinants; field theoretic representation of the jellium model; ground state of the free Fermi gas; density-of-states as a function of energy; kinetic energy of the free Fermi gas; first-order perturbation theory…
Testi d'esame di Condensed Matter Physics del prof. Marco Polini, canale unico, corso di laurea in Fisica – sede di Pisa (Laurea magistrale (LM-17)), Università di Pisa, esame facoltativo · 9 CFU, a.a. 2026/2027. Libri adottati: Vignale – Quantum Theory of the Electron Liquid; Simmons – Condensed Matter Field Theory; Nozières – The Theory of Quantum Liquids; Walecka – Quantum Theory of Many-Particle Systems; R. Shankar, Rev. Mod. Phys. 66 , 129; I. Torre et al., Phys. Rev. B 99; S. Sachdev and J. Ye, Phys. Rev. Lett.; Kitaev – Talks at KITP; Gu – ArXiv:1910.14099; Rosenhaus – Theor; Blanter – Quantum Transport; Datta – Electronic Transport in Mesoscopic Systems; Ziman – Principles of the Theory of Solids; Y.M. Blanter and M. Büttiker, Phys. Rep. 336; Raimondi – Matter 10; R.B. Laughlin, Phys. Rev. Lett. 50 , 1395; S.M. Girvin and T. Jach, Phys. Rev. B; S.M. Girvin, A.H. MacDonald, and P.M. Platzman, Phys.; K. Yang, Phys. Rev. B 93 , 161302(R); F.D.M. Haldane, Phys. Rev. Lett. 107 , 116801; S.-F. Liou, F.D.M. Haldane, K. Yang, and E.H..