We review the progress in the last 20–30 years, during which we discovered that there are
many new phases of matter that are beyond the traditional Landau symmetry breaking …

After decades of development, quantum information science and technology has now come
to its golden age. It is not only widely believed that quantum information processing offers …

We discuss designer Hamiltonians—lattice models tailored to be free from sign problems
(“de-signed”) when simulated with quantum Monte Carlo (QMC) methods but which still host …

Quantum magnets provide the simplest example of strongly interacting quantum matter, yet
they continue to resist a comprehensive understanding above one spatial dimension. We …

We study the quantum phase diagram of the spin-1/2 Heisenberg model on the kagome
lattice with first-, second-, and third-neighbor interactions J 1, J 2, and J 3 by means of …

We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of
quantum Monte Carlo simulations. We present a refined phase boundary for the quantum …

We study the effects of doping a Mott insulator on the honeycomb lattice where spins interact
via direction-dependent Kitaev couplings JK, and weak antiferromagnetic Heisenberg …

This is the draft version of a textbook, which aims to introduce the quantum information
science viewpoints on condensed matter physics to graduate students in physics (or …

We present a systematic framework to classify symmetry-enriched topological quantum spin
liquids in two spatial dimensions. This framework can deal with all topological quantum spin …

We investigate the interplay between spin-orbit coupling and electron-electron interactions
on the honeycomb lattice, combining the cellular dynamical mean-field theory and its real …