## Details of PH5103 (Autumn 2022)

Level: 5 |
Type: Theory |
Credits: 4.0 |

Course Code | Course Name | Instructor(s) |
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PH5103 |
Advanced Condensed Matter Physics |
Siddhartha Lal |

Preamble |
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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. |

Syllabus |
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(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 correlations. (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 metals. (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 |

Prerequisite |
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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. |

References |
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(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. | Programme | Semester No | Course 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 |