Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …

We extend the theory of dipole moments in crystalline insulators to higher multipole
moments. As first formulated in Benalcazar et al.[Science 357, 61 (2017) SCIEAS 0036-8075 …

We theoretically study the lattice relaxation in the twisted bilayer graphene (TBG) and its
effect on the electronic band structure. We develop an effective continuum theory to describe …

In recent years, transition metal dichalcogenides (TMDs) have garnered great interest as
topological materials. In particular, monolayers of centrosymmetric β-phase TMDs have …

We explore the effect of decoherence on many-body mixed states from a purification
perspective. Here, quantum channels map to unitary transformations acting on a purified …

Building on earlier work in the high energy and condensed matter communities, we present
a web of dualities in 2+ 1 dimensions that generalize the known particle/vortex duality. Some …

We examine the interplay of symmetry and topological order in 2+ 1-dimensional topological
quantum phases of matter. We present a precise definition of the topological symmetry …

We propose a particle-hole symmetric theory of the Fermi-liquid ground state of a half-filled
Landau level. This theory should be applicable for a Dirac fermion in the magnetic field at …

Topological insulators and their intriguing edge states can be understood in a single-particle
picture and can as such be exhaustively classified. Interactions significantly complicate this …