Details of PH5103 (Autumn 2022)

Level: 5 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(s)
PH5103 Advanced Condensed Matter Physics Siddhartha Lal

This course gives the students a basic exposure to the research areas in Quantum condensed matter physics. The course is a collection of phenomenological introduction to several topics in which active research is performed presently. Only few such topics can be covered each time the course is offered and they will be selected based on the choice of the instructor, the interests of students, and of
course maintaining coherence.

(1) Fermi Liquid Theory (FLT) -- Conceptual background -- physics of e;ectronic
repulsion, Fermi liquid parameters, renormalization of physical ovservables in the
framework of FLT. Possible breakdown of FLT, e.g. in (a) low dimensions, (b) Strong

(2) Strongly correlated electronic systems --???? Mott insulators, Metal-Insulator
transition etc. Hubbard Model as a minimal model for studying strong correlations,
Notions of wigner crystal, spin??-charge separation etc.

(3) Superconductivity (SC) -- Microscopic theory (BCS), density of states and
meissner effect within BCS framework. Beyond BCS theory and a bit of high Tc
phenomenology, SC from strong correln in contrast with electron??-phonon SC in

(4) Basics of Quantum Magnetism -- Hubbard Model and magnetism, Stoner
Ferromagnetism, Superexchange and Antiferromagnetism, Mermin-Wagner theorem.

(5) Disorder and Localization Physics --???? extended vs. localized state, weak??and
strong?? localization, scaling theory of localization.

(6) Interacting Bosonic system and superfluidity -- Feynman theory, Mean field
treatment, GP equation, superfluid density vs. condensate fraction, supersolidity.

(7) Brief intro to QHE

(8) Basics pf Bosonization and low dimensional systems

Basic CMP (PH4101) and Basic Statistical Mechanics (PH3201) or equivalent. Familiarity with concepts taught in Advanced Statistical Mechanics (PH4203/5203) and Many-Body Physics is desirable.

(1) Advanced Solid State Physics, P. Phillips, Westview Press -- Advanced Book
Program, 2003.
(2) Fundamentals of the Theory of Metals, A. A. Abrikosov, North-Holland, 1988
(3) Quantum Theory of Electron Liquid, G. F. Giuliani and G. Vignale, Cambridge
University Press.

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Elective
2 IP 3 Elective
3 IP 5 Elective
4 MR 1 Elective
5 MR 3 Elective
6 MS 3 Not Allowed
7 MS 5 Not Allowed
8 MS 7 Not Allowed
9 MS 9 Elective
10 RS 1 Elective
11 RS 2 Elective