Condensed Matter Mathematical Physics
// 2020
Unconventional Superconductivity
Theory of Cooper Pairing & Many-Body Formalism
Abstract
NIUS research project exploring the theoretical framework of Unconventional Superconductivity under Prof. Rajdeep Sensarma at TIFR. Investigated Bogoliubov transformations, Path Integrals, and Green's functions for spin-coupled Cooper pairing.
Table of Contents / Outline
Project Overview
Carried out under the prestigious National Initiative on Undergraduate Science (NIUS) at the Tata Institute of Fundamental Research (TIFR), Mumbai under Prof. Rajdeep Sensarma.
Theoretical Tools & Focus
- Bogoliubov-de Gennes (BdG) Hamiltonian: Diagonalization techniques for inhomogeneous superconducting systems and quasiparticle spectra.
- Many-Body Green’s Functions & Path Integrals: Formulating finite-temperature Matsubara techniques and Feynman diagrams for pairing instabilities.
- Symmetry of Order Parameter: D-wave and unconventional spin-triplet pairing mechanisms beyond standard BCS phonon-mediated theories.