The details of courses for Sep-Dec 2021 semester are given below
The Quantum Phases of Matter - Topical (PHY-431.5)
Instructor: Prof. Subir Sachdev
ICTS Course no.: PHY-431.5
TIFR Course no.: PHY-431.1
TIFR-H Course no.: PHY-431.7
Class timings: Mondays and Wednesdays from 6:30 PM to 8:00 PM (with Fridays optional for extra classes)
First meeting: Starting September 1. Classes will run till mid-December.
1. Introduction to the phases of modern quantum materials
2. Boson Hubbard model: superfluids, insulators, and other conventional phases
3. Electron Hubbard model: antiferromagnets, metals, d-wave superconductors, and other conventional phases
4. Mott insulators, resonating valence bonds, and the Z2 spin liquid
5. Gapless spin liquids, and emergent SU(2) and U(1) gauge theories.
6. Kondo impurity in a metal
7. Kondo lattice: the heavy Fermi liquid, and the fractionalized Fermi liquid (FL*). Violations of the Luttinger theorem using emergent gauge fields.
8. The pseudogap metal of the cuprates: FL* theories
9. SYK model of metals without quasiparticles, and emergent gravity
10. Fully connected random models of strong correlation
11. Quantum criticality of Fermi surfaces
2. Term paper
3. Presentation of the term paper
The percentages are to be decided soon.
More details: http://qpt.physics.harvard.edu/qpm
For additional information, TIFR students may contact the local tutors on their campus:
ICTS: Subhro Bhattacharjee
TIFR Colaba: Kedar Damle
TIFR-H: Kabir Ramola
Topology & Geometry - Core
Course no.: MTH 122.5
Instructor: Prof. Rukmini Dey
Class timings: Tuesdays and Thursdays from 11:00 AM to 12:30 AM (1 hr tutorial once a week, tutorial timings to be announced later)
First meeting: 10th August
Topology: Homotopy, retraction and deformation, fundamental group, Van Kampen theorem, covering spaces and their relations with the fundamental group, universal coverings, automorphisms of a covering, regular covering.
Geometry: Differential geometry of curves and surfaces, mean curvature, Gaussian curvature, differentiable manifolds, tangent and cotangent spaces, vector fields and their flows, Frobenius theorem, differential forms, de Rham cohomology.
20% assignments, 40% midterm, 40% final.