Titlebook: Quantum Magnetism; Ulrich Schollwöck,Johannes Richter,Raymod F. Bisho Book 2004 Springer-Verlag Berlin Heidelberg 2004 Phase Transition.Ph

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Simulations of pure and doped low-dimensional spin-1/2 gapped systems,cular, geometrical effects or competing magnetic interactions can give rise to the formation of a spin gap between the singlet ground state and the first excited triplet state. In this chapter, we focus on the numerical investigation of such systems by Exact Diagonalisation methods and some extensio

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Field-theoretical methods in quantum magnetism,w the application of the spin-wave analysis and non-linear σ-model techniques in one and two dimensional quantum antiferromagnets. We discuss in particular the emergence of Haldane’s conjecture for spin chains and ladders within this formalism. We also present a brief discussion on the non-linear σ-

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The coupled cluster method applied to quantum magnetism,n used extensively in order to investigate many types of lattice quantum spin system at zero temperature. The ground-and excited-state properties of these systems may now be determined routinely to great accuracy. In this Chapter we present an overview of the CCM formalism and we describe how the CC

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