We perform an in-depth investigation of the phase diagram of the J 1− J 2 Heisenberg model
on the square lattice. We take advantage of density matrix renormalization group and fully …

Density matrix renormalization group (DMRG) and its extensions in the form of matrix
product states are arguably the choice for the study of one-dimensional quantum systems in …

We consider a model for two types (bath and tracers) of 2D quantum particles in a
perpendicular magnetic field. Interactions are short range and interspecies, and we assume …

We develop a density functional treatment of noninteracting Abelian anyons, which is
capable, in principle, of dealing with a system of a large number of anyons in an external …

We study the Hamiltonian describing two anyons moving in a plane in the presence of an
external magnetic field and identify a one-parameter family of self-adjoint realizations of the …

We propose a generalized Shastry-Sutherland model which bridges the Shastry-Sutherland
model and the $ J_1 $-$ J_2 $ Heisenberg model. By employing large scale Density Matrix …

We propose a scheme to create monopoles with half-integer magnetic charges in a spinful
cold atom system. With a minimal monopole in the center, we derive the ground-state single …

We present an exactly solvable model for synthetic anyons carrying non-Abelian flux. The
model corresponds to a two-dimensional electron gas in a magnetic field with a specific spin …

Recently it was shown that anyons on the two-sphere naturally arise from a system of
molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev …

The interplay between interaction and topology plays an important role in condensed matter
physics, which leads to novel phenomena, including the fractional quantum Hall effect …