We present an up-to-date survey of theoretical concepts and results in the field of one-
dimensional magnetism and of their relevance to experiments and real materials. Main …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

We use quantum Monte Carlo (stochastic series expansion) and finite-size scaling to study
the quantum critical points of two S= 1∕ 2 Heisenberg antiferromagnets in two dimensions …

We present the universal theory of arbitrary, localized impurities in a confining paramagnetic
state of two-dimensional antiferromagnets with global SU (2) spin symmetry. The energy gap …

This article contains a theoretical overview of the physical properties of antiferromagnetic
Mott insulators in spatial dimensions greater than one. Many such materials have been …

The entanglement entropy for a quantum critical system across a boundary with a corner
exhibits a subleading logarithmic scaling term with a scale-invariant coefficient. Using a …

We provide analytical and numerical insights into the phase diagram and other properties of
the extended Kitaev-Heisenberg model on the honeycomb lattice in the easy-plane limit, in …

The two-layer square lattice quantum antiferromagnet with spins 1 2 shows a zero-field
magnetic order-disorder transition at a critical ratio of the inter-plane to intra-plane …

Using quantum Monte Carlo simulations along with higher-order spin-wave theory, bond-
operator and strong-coupling expansions, we analyze the dynamical spin structure factor of …

The excitation spectrum of the two-chain Heisenberg ladder with antiferromagnetic
interactions is studied. Our approach is based on the description of the excitations as triplets …