BACKGROUND Years ago, Lev Landau taught us how to think about distinct phases of
matter through an order parameter that characterizes the symmetry-broken state relative to …

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 …

Geometrically frustrated magnets can host complex spin textures, leading to unconventional
electromagnetic responses. Magnetic frustration may also promote topologically nontrivial …

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 …

What are topological phases of matter? First, they are phases of matter at zero temperature.
Second, they have a nonzero energy gap for the excitations above the ground state. Third …

This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Kagome materials often host exotic quantum phases, including spin liquids, Chern gap,
charge density wave, and superconductivity. Existing scanning microscopy studies of the …

Motivated by experimental studies that have found signatures of a quantum spin liquid
phase in organic crystals whose structure is well described by the two-dimensional …

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum
phases with a symmetry G. They can all be smoothly connected to the same trivial product …

We present a simple prescription to flatten isolated Bloch bands with a nonzero Chern
number. We first show that approximate flattening of bands with a nonzero Chern number is …