We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

This review presents an entry-level introduction to topological quantum computation--
quantum computing with anyons. We introduce anyons at the system-independent level of …

We propose a moiré bilayer as a platform where exotic quantum phases can be stabilized
and electrically detected. Moiré bilayers consist of two separate moiré superlattice layers …

Quantum electrodynamics in 2+ 1 dimensions (QED 3) has been proposed as a critical field
theory describing the low-energy effective theory of a putative algebraic Dirac spin liquid or …

We investigate the J 1-J 2 Heisenberg model on the triangular lattice with an additional
scalar chirality term and show that a chiral spin liquid is stabilized in a sizable region of the …

We show how to perform exact diagonalizations of SU (N) Fermi-Hubbard models on L-site
clusters separately in each irreducible representation (irrep) of SU (N). Using the …

We point out that there are two different chiral spin liquid states on the triangular lattice and
discuss the conducting states that are expected on doping them. These states labeled CSL1 …

Quantum spin liquids can be faithfully represented and efficiently characterized within the
framework of projected entangled pair states (PEPS). Guided by extensive exact …

In the past few decades, tremendous efforts have been made toward understanding the
exotic physics emerging from competition between various ordering tendencies in strongly …

In the physics of the fractional quantum Hall (FQH) effect, a zoo of Abelian topological
phases can be obtained by varying the magnetic field. Aiming to reach the same …