The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

Abstract The Bose–Einstein condensate (BEC) is a fascinating state of matter predicted to
occur for particles obeying Bose statistics. Although the BEC has been observed with …

This book presents in a pedagogical yet complete way correlated systems in one dimension.
Recent progress in nanotechnology and material research have made one dimensional …

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 …

A theoretical overview of the phenomenon of spontaneous magnon decays in quantum
antiferromagnets is presented. The intrinsic zero-temperature dam** of magnons in …

Besides being an ancient pigment, B a C u S i 2 O 6 is a quasi-2D magnetic insulator with a
gapped spin dimer ground state. The application of strong magnetic fields closes this gap …

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 …

Competition between electronic ground states near a quantum critical point,(QCP)—the
location of a zero-temperature phase transition driven solely by quantum-mechanical …

Thallium copper chloride is a quantum spin liquid of S= 1/2 Cu 2+ dimers. Interdimer
superexchange interactions give a three-dimensional magnon dispersion and a spin gap …