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 quasi-one-dimensional cuprates (La, Y, Sr, Ca) 14Cu24O41, consisting of spin-chains
and spin-ladders, have attracted much attention, mainly because they represent the first …

Phase diagrams of the one-dimensional extended Hubbard model (including nearest-
neighbor interaction V) at half-and quarter-filling are studied by observing level crossings of …

A Thouless pump transports an integer amount of charge when pum** adiabatically
around a singularity. We study the splitting of such a critical point into two separate critical …

We use a stochastic series-expansion quantum Monte Carlo method to study the phase
diagram of the one-dimensional extended Hubbard model at half-filling for small to …

Long-range interactions are relevant for a large variety of quantum systems in quantum
optics and condensed matter physics. In particular, the control of quantum–optical platforms …

We study Thouless pumps, ie, adiabatic topological transport, in an interacting spin chain
described by the dimerized XXZ Hamiltonian. In the noninteracting case, quantized …

We study the ground state properties of the one-dimensional extended Hubbard model at
half filling from the perspective of its particle reduced density matrix. We focus on the …

Thouless pum** represents a powerful concept to probe quantized topological invariants
in quantum systems. We explore this mechanism in a generalized Rice-Mele Fermi-Hubbard …

We perform a numerical study of a spin-1/2 model with Z 2× Z 2 symmetry in one dimension
which demonstrates an interesting similarity to the physics of two-dimensional deconfined …