Strongly correlated electronic systems are fascinating systems where competing kinetic energy and coulomb energies gives rise to many interesting phases like superconductivity, magnetism, multiferrocity electronic localization, dimerization, spin liquid and many other exotic phases. The electronic interactions are more prominent in the confined or low dimensional systems such as low dimensional conjugated polymers and one dimensional spin systems etc.
Although quantum many body effects are important but modelling these systems are most challenging as relevant degrees of freedom in these systems increase exponentially because of competition of different energy scales. To deal with the large number of degrees of freedom we have been using numerical techniques like exact diagonalization for smaller systems, density matrix renormalization group method for one dimensional or ladder like systems, quantum Monte Carlo for two dimensional systems and dynamical mean field theory for higher dimensional systems. We are interested in electronic properties like optical, magnetic and transport properties of materials. Quantum phase diagrams of the model Hamiltonians are another area of research interest where our main focus is to understand the quantum fluctuation in the ground state of the systems as in most of the gapped systems these phase are dominant at low temperature. We are also involved in the study of quantum entanglement in strongly correlated systems and also actively involved in developing new algorithm and implementing the new numerical methods for solving these strongly correlated systems.