Research

I am a condensed matter theorist active in the area of unconventional superconductivity and correlated phases. My current work is focused on the quantum geometric effect in 2D superconductors and other competing orders like the pair density wave state.

A recent paper of mine Physical Review B 109 (21), 214518 studies the lattice geometric effect of superfluid weight (a quantity characterizing the stiffness of superconductors to Meissner effect) and builds a connection from the lower bounds of superfluid weight to the representation of electronic bands.

In 2023, one of my two papers Physical Review Letters 131 (1), 016002 proposes a microscopic theory for the formation of pair density wave order in flat bands. This theory utilizes the quantum geometry of Bloch bands [1] but generalizes it to the scenario when the order parameter is nonuniform among different orbitals.

The other paper in the same year Physical Review B 107 (19), 195403 is a presentation of my Ph.D. thesis which was to study the charge response of topological states on disclinations (dubbed "gravitational response"). A highlight of this work is that it extends the definition of a topological state (or topological Hamiltonian) to systems with translational symmetry broken, in the tight-binding level. Recently the gravitational response has been shown to be related to the real-space invariants (RSI) of topological states [2].