On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

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 …

The first accounts of magnetism date back to the ancient Greeks who also gave magnetism
its name. It derives from Magnesia, a Greek town and province in Asia Minor, the …

The concept of geometrical frustration has led to rich insights into condensed matter physics,
especially as a mechanism to produce exotic low-energy states of matter. Here we show that …

Plateaus can be observed in the zero-temperature magnetization curve of quantum spin
systems at rational values of the magnetization. In one dimension, the appearance of a …

The discovery of magnetism by the ancient Greeks was enabled by the natural occurrence of
lodestone–a magnetized version of the mineral magnetite. Nowadays, natural minerals …

The study of interacting spin systems is of fundamental importance for modern condensed-
matter physics. On frustrated lattices, magnetic exchange interactions cannot be …

It is known from the Mermin-Wagner theorem that magnetic long-range order can exist in two
dimensions only at zero temperature, but even then it can still be destroyed eg by quantum …

For a class of frustrated spin lattices including for example the 1D sawtooth chain, the 2D
Kagomé and checkerboard, as well as the 3D pyrochlore lattices, we construct exact product …

We study the low-temperature thermodynamic properties of a number of frustrated quantum
antiferromagnets which support localized magnon states in the vicinity of the saturation field …