Teaching & Research Interests:
- Physics of Disordered Quantum Mechanical Systems and its Connection with Random Matrix Theory : We have developed Fortran codes for solving Hamiltonians of Disordered Quantum Spin Systems often in the presence of random magnetic fields. We have studied the statistical behavior of an ensemble of such systems and compared them with the standard Random Matrix Theory predictions.
- High-energy Optical Spectroscopy of Strongly Correlated Electron Systems : We have developed formalism and codes for calculating diagonal Optical Conductivities of a correlated electron system at Zero temperature and studied the Doping dependence, Polarization dependence, Magnetic Background dependence, etc. We also want to extend this for the off-diagonal elements of the Optical Conductivity tensor, which also includes the interesting case of magneto-conductivity, important for example in Quantum Hall Effect. We are interested in exploring the temperature dependence of Optical Conductivity and detailed microscopic analysis of the optical transitions involved.
- Core-level Spectroscopy of Strongly Correlated Electron Systems : We have used the Exact diagonalization method and Lanczos formalism to study X-ray Absorption Spectroscopy and Photoemission Spectroscopy for strongly correlated transition metal compounds.
2009 – 2014