The primary motivation of our research is to understand the various aspects related to the interplay of electronic and magnetic excitations in strongly correlated systems. Investigation of finite-U induced effects on the geometrically frustrated triangular lattice Hubbard model forms the core of my ongoing thesis work. However, from a broader point of view, my research interests include

• correlation effects on magnetic frustration
• multiferroics
• high T_c superconductors
• itinerant magnetism
• metal-insulator transitions.

We have studied spin fluctuations in "multiferroic" manganites HoMnO₃ and YMnO₃, which reveal quasi two-dimensional 120° ordering on a triangular lattice. These materials are candidates for novel applications in future microelectronics and have been the focus of many experimental studies lately.

Very recently we have studied evolution of the magnetic response function in the triangular lattice Hubbard model with interaction strength within a systematic inverse-degeneracy expansion scheme. In this work we showed the important role of vertex corrections in combination with self-energy corrections in stabilizing the 120° antiferromagnetically ordered state at half-filling when moving from intermediate to the strong coupling regime.

In addition to the above works related to my thesis, our studies include exploring the high energy kink feature (found in high resolution ARPES experiments) in the dispersion of a single hole in antierromagnetic background and diagrammatic study of spin-charge coupling effects on magnon excitations within a purely fermionic representation for the ferromagnetic Kondo lattice model.

In the near future we plan to extend our work on the triangular lattice Hubbard model and look at different aspects like metal-insulator transitions, dynamical magnetic response, quantum corrections in the broken symmetry state etc.