My research interests lie primarily in the study of topological phases of matter, with a focus on the noninteracting fermionic topological phases. The interplay of topology and symmetry has played a crucial role in the study of these systems, more recently leading to the discovery of topological crystalline insulators and higher order topological insulators. I am interested in various manifestations of this topology in condensed matter, from a plethora of nontrivial insulators to semimetals with intricate nodal structures. I have also applied similar ideas in the context of Kitaev spin liquids, which can be reduced to a lattice model of free Majorana fermion in a static background gauge field, and the corresponding Majorana band structure may have nontrivial features protected by the lattice symmetries.
Recently, I have been working on non-Hermitian topological phases, where the non-Hermiticity of the Hamiltonian provides an interesting twist on the conventional lore of topological phases.
More details coming soon...
I am interested in various manifestations of this topology in condensed matter, from a plethora of nontrivial insulators to semimetals with intricate nodal structures.
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