The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …

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 density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …

This article summarizes and extends the recent developments in the microscopic modeling
of the magnetic excitations in cuprate two-leg ladder systems. The microscopic Hamiltonian …

We demonstrate the existence of a spin-nematic, moment-free phase in a quantum four-spin
ring-exchange model on the square lattice. This unusual quantum state is created by the …

Abstract The Coupled Cluster Method (CCM) is one of the most powerful and universally
applied techniques of quantum many-body theory. In particular, it has been used extensively …

We study the ground-state phase diagram of a spin-1 2 XXZ model with a chirality-chirality
interaction (CCI) on a two-leg ladder. This model offers a minimal setup to study an interplay …

This review presents some theoretical advances in the field of quantum magnetism in two-
dimensional systems, and quantum spin liquids in particular. The first version published in …

The low-energy physics of three-leg frustrated antiferromagnetic spin-S tubes in the vicinity
of the upper critical field are studied. Utilizing the effective field theory based on the spin …

We consider the simplest generalizations of the valence bond physics of SU (2) singlets to
SU (N) singlets that comprise objects with N sites—these are SU (N) singlet plaquettes with …