While the topological order in two dimensions has been studied extensively since the
discovery of the integer and fractional quantum Hall systems, topological states in three …

We explore the bulk-edge correspondence for topological insulators (superconductors)
without time-reversal symmetry from the viewpoint of the index theorem for open spaces. We …

At low temperatures, a spin ice enters a Coulomb phase—a state with algebraic correlations
and topologically constrained spin configurations. We show how analytical and numerical …

We examine non-Abelian topological defects in an Abelian lattice model in two dimensions.
We first construct an exact solvable lattice model that exhibits coexisting and intertwined …

We introduce a Hamiltonian coupling Majorana fermion degrees of freedom to a quantum
dimer model. We argue that, in three dimensions, this model has deconfined quasiparticles …

We study the stationary Josephson current in a junction between a topological and an
ordinary (topologically trivial) superconductor. Such an S-TS junction hosts a Majorana zero …

In this paper, we study the topological properties of a 3D lattice dimer model. We
demonstrate that the dimer model on a bipartite lattice possesses topological defects, which …

We present a class of topological plasma configurations characterized by their toroidal and
poloidal winding numbers, nt and np, respectively. The special case of nt= 1 and np= 1 …

Using semiclassics to surmount the hurdle of bulk-surface inseparability, we derive the
superconductor vortex spectrum in nonmagnetic Weyl semimetals and show that it stems …

We investigate the unconventional quantum phases in Weyl semimetals. The emergent
boson fields, coupling with the Weyl fermion bilinears, contain a Wess-Zumino-Witten term …