My past research has been mainly focussed in the area of strongly correlated electronic systems with an emphasis on topological materials and quantum phenomena. This work has been in fragments with different levels of productivity during different spans of time. Below I outline the details of my work in phases while listing the publications that resulted.
I began my foray into research by considering topological insulators and their behaviour in strong perpendicular magnetic fields. We took the approach of using perturbation theory and derived the corrections due to hexagonal warping for both energy and wavefuction to second order. Using this we were able to analytically derive the Hall conductivity and quantum capacitance of the system. In a related work, which happened to be an invited publication, we considered the effects of a strong electric field on such systems leading to some comments about quantum phase transitions.
2016 Anirudha Menon, Debashree Chowdhury, and Banasri Basu. Effect of perturbative hexagonal warping on quantum capacitance in ultra-thin topological insulators. Journal of Physics D: Applied Physics 49 (13), 135003. IOP, 2016, Impact Factor: 3.1. DOI: 10.1088/0022-3727/49/13/135003
2016 Anirudha Menon, Debashree Chowdhury, and Banasri Basu. Hybridization and field driven phase transitions in hexagonally warped topological insulators. Spin 6 (2), 1640005. World Scientific Publishing Company, 2016, Impact Factor: NA. DOI: 10.1142/S2010324716400051
Beginning in 2018, I began my first inquisitions into Floquet driven systems. Starting with a minimal model tilted Weyl semimetal (WSMs), we asked what would change in it's thermal response under periodic driving by a laser field. This led to an important discovery about the nature of the Matusbara formalism to leading order in van-Vleck perturbation theory and also on the behaviour of the Thermal Hall and Nernst conductivities of such materials out of equilibrium. Around the same time, we began looking at the effect of a strong perpendicular magnetic field on multi-Weyl semimetals and the consequences on the Hall conductivity - this lead to a significant discovery about the vanishing nature of the AHE in the type-II phase of Weyl semimetals at charge neutrality.
2019 saw me begin work with my doctoral advisor on the quantum spin ice phase in pyrochlores. Specifically we examined the random transverse field Ising model on the pyrochlore using exact diagonalization (ED) and numerical linked cluster expansion (NLCE). We were able to highlight the important phases and transitions in the model which subsequently lead to two related publications. Notably we were able to present corrections to existing previous work on the subject.
In 2020, I began work in two directions. One was to generalize the results from 2018 on Floquet driven WSMs to multi-Weyl semimetals. The other was to work with experimentalist Collin Broholm and his graduate student Alireza Ghashemi on phenomenologically modelling their experimental results on the compound Sodium Barium Ytterbium Borate. In this latter work we focussed on the experimentally obtained data for specific heat and magentization to which we fit the Heisenberg super-exchange coupled to a Dipolar Hamiltonian using the NLCE on a traingular lattice.