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 …

We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

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 …

Using the density matrix renormalization group and a bosonization approach, we study a
spin-1/2 antiferromagnetic Heisenberg chain with near-neighbor coupling J 1 and frustrating …

We investigate the phase transitions in two-legs ladder systems in the incommensurate
phase, for which the gap is destroyed by a magnetic field (hc 1< h) and the ladder is not yet …

We investigate the ground-state properties of a newly discovered phase of one-dimensional
lattice bosons with extended interactions [EG Dalla Torre, Phys. Rev. Lett. 97, 260401 …

In this paper we continue and extend a systematic study of plateaux in magnetization curves
of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical …

An interesting feature of spin-chains with a gap is that they undergo a commensurate-
incommensurate transition in the presence of an external magnetic field H. The system is in …

We provide strong evidence that the asymptotically free (1+ 1)-dimensional nonlinear O (3)
sigma model can be regularized using a quantum lattice Hamiltonian, referred to as the …

We discuss the theory of the nonzero temperature (T) spin dynamics and transport in one-
dimensional Heisenberg antiferromagnets with a gap Δ. For T≪ Δ, we develop a …