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 …

The fractional quantum Hall effect has been one of the most active areas of research in
quantum condensed matter physics for nearly four decades, serving as a paradigm for …

At strong repulsion, the triangular-lattice Hubbard model is described by s= 1/2 spins with
nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120° …

Traditional computational methods for studying quantum many-body systems are “forward
methods,” which take quantum models, ie, Hamiltonians, as input and produce ground …

Abelian and non-Abelian topological phases exhibiting protected chiral edge modes are
ubiquitous in the realm of the fractional quantum Hall (FQH) effect. Here, we investigate a …

Quantum spin liquids are a class of magnetic ground states reliant on non-local
entanglement. Motivated by recent advances in the control of ultracold polar molecules and …

A scheme is proposed to construct integer and fractional topological quantum states of
fermions in two spatial dimensions. We devise models for such states by coupling wires of …

As lattice analogs of fractional quantum Hall systems, fractional Chern insulators (FCIs)
exhibit enigmatic physical properties resulting from the intricate interplay between single …

We present a general review of the projective symmetry group classification of fermionic
quantum spin liquids for lattice models of spin S= 1/2. We then introduce a systematic …

We develop a coupled-wire construction of chiral spin liquids. The starting points are
individual wires of electrons in the Mott regime that are subject to a Zeeman field and …