This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Spin liquids are collective phases of quantum matter that have eluded discovery in
correlated magnetic materials for over half a century. Theoretical models of these enigmatic …

Topologically ordered phases are gapped states, defined by the properties of excitations
when taken around one another. Here we demonstrate a method to extract the statistics and …

In this study, we reanalyze the magnetic interactions in the Kitaev spin-liquid candidate
materials Na 2 IrO 3, α-RuCl 3, and α-Li 2 IrO 3 using nonperturbative exact diagonalization …

We investigate the spin-1 2 Heisenberg model on the triangular lattice in the presence of
nearest-neighbor J 1 and next-nearest-neighbor J 2 antiferromagnetic couplings. Motivated …

We study the spin-1 2 Heisenberg model on the triangular lattice with antiferromagnetic first-
(J 1) and second-(J 2) nearest-neighbor interactions using density matrix renormalization …

Topological phases in frustrated quantum spin systems have fascinated researchers for
decades. One of the earliest proposals for such a phase was the chiral spin liquid, a bosonic …

We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the
Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in …

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems
under a magnetic field is one of the most remarkable discoveries in condensed matter …

Kalmeyer-Laughlin (KL) chiral spin liquid (CSL) is a type of quantum spin liquid without time-
reversal symmetry, and it is considered as the parent state of an exotic type of …