The birth of condensed matter physics in Italy is linked to a small number of very distinguished scientists. Mario Tosi, Professor of Physics of Matter at the Scuola Normale Superiore, is unquestionably among the leading figures, a true founder of the theoretical activity in the country and a true catalyst of novel research directions internationally. This volume collects the proceedings of a symposium held at Scuola Normale Superiore di Pisa, designed to show Mario Tosi's broad, deep influence in very diverse areas of the quantum theory of condensed matter. The topics covered in the volume represent the breadth of his interests and the highlights in the quantum theory of condensed matter: liquids, electronic states in complex structures, quantum degenerate gases, many-body physics.
(1) Department of Physics, University of California, San Diego, La Jolla, CA 92093,USA(2) NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa,Italy(3) Dipartimento di Fisica dellUniversita di Pisa and INFN, Largo Pontecorvo 3,I-56127 Pisa, Italy(4) NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, I-56126 Pisa(5) Center for Quantum Technologies, National University of Singapore, SingaporeAbstract. Using the density-matrix renormalization-group algorithm (DMRG)and nite-size-scaling, we study the properties of the one-dimensional completely-anisotropic spin-1/2 XYZ model with Dzyaloshinsky-Moriya (DM) interactions. Themodel shows a rich phase diagram: depending on the value of the coupling constants,the system can display di erent kinds of ferromagnetic order and Luttinger-liquidbehavior. Transitions from ferromagnetic to Luttinger-liquid phases are rst order.We thoroughly discuss the transition between di erent ferromagnetic phases, which,in the absence of DM interactions, belongs to the XX universality class; we provideevidence that in presence of DM it is split into two Ising-like transitions. In between,an interesting disordered phase appears. Our study sheds light on the general problemof strongly-interacting spin-orbit-coupled systems and is particularly useful to guidefuture experimental work on cold bosons loaded in optical lattices.