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Our research in theoretical condensed matter physics focuses on: strongly correlated electron systems, quantum phase transitions in and out of equilibrium, unconventional superconductivity, quantum magnetism, quantum impurities, low dimensional physics, three dimensional Dirac and Weyl semi metals, graphene and van der Waals heterostructures, Anderson localization, many body localization, effects of quasiperiodicity, thermalization in quantum statistical mechanics, open and monitored many-body quantum systems, cold atoms, spinor bosons, synthetic gauge fields, Bose-Fermi mixtures.


Current Focus

Disordered topological semimetals and insulators.

Our research in disordered topological materials focuses on quantum phase transitions that can arise by destroying topological properties. In particular, we are focusing on the effects of rare regions on the properties of Weyl and Dirac semimetals as well as topological phase transitions in general. Image © American Physical Society. Representative papers: 1, 2, 3, 4, 5

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Twisted van der Waals heterostructure (“Twistronics”) and its emulation beyond solid state physics.

We have been interested in various aspects of twistronics. One focus has included how to emulate this phenomena in different physical settings. To achieve this we have been studying the effects of quasiperiodicity on two-dimensional Dirac semimetals, in models that can be realized in ultra-cold atomic gases and metamaterials. More recently, we are exploring novel quantum phases possible in twisted superconductors. Image © Nature Research. Representative papers: 12, 3, 4

Frustrated quantum magnetism in metals.

We are generally interested in how magnetic frustration can persist (or not) in a metallic environment. This is motivated by the recent discoveries of heavy fermion materials that have local magnetic moments that reside on geometrically frustrated lattices. The focus my group has taken is to understand the fate of a valence bond solid in the presence of a metallic band and are studying how quantum phase transitions out of a valence bond solid ground state are affected by a metallic Fermi sea. Image © PNAS. Representative Papers: 1, 2, 3

Non-equilibrium quantum dynamics: thermalization, localization, and phase transitions.

I am generally interested aspects of localization, thermalization, and dynamical transitions between them. One key aspect of my work in this direction has been exploring the effects of deterministic quasiperiodicity (e.g. and how this can lead to mobility edges) and its effect on many body localization. More recently, my group has been exploring quantum dynamics in random quantum circuits and the nature of the measurement induced quantum phase transition. Image © American Physical Society. Representative papers: 1, 2, 3, 4, 5

Strong correlations in quasicrystals.

The fractal electronic gap structure of tight binding models in quasicrystals can produce exotic single particle phenomena. I am currently interested in understanding how this affects strongly correlated effects that normally emerge out of a band picture. In particular, the group is working towards understanding how and if the Kondo effect can develop in such a setting. Image © American Physical Society. Representative Papers: 1, 2, 3