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Titlebook: Strongly Correlated Systems; Numerical Methods Adolfo Avella,Ferdinando Mancini Book 20131st edition Springer-Verlag Berlin Heidelberg 2013

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,Variational Monte Carlo and Markov Chains for Computational Physics,se quantities should increase at most polynomially with .. In principle, the above properties should be proven a priori, because their numerical validations could be very difficult in practice. It will be shown that this is the case for the simplest variational Monte Carlo technique for quite generic wave functions and model Hamiltonians.
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Quantum Criticality with the Multi-scale Entanglement Renormalization Ansatz,odels, and an insightful comparison with results obtained using a matrix product state is made. The extraction of accurate conformal data, such as scaling dimensions and operator product expansion coefficients of both local and non-local primary fields, is also illustrated.
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Stochastic Series Expansion Quantum Monte Carlo,rithms reveals their underlying fundamental similarity. Here, we briefly review the finite- and zero-temperature formalisms, and discuss concrete manifestations of the algorithm for the spin 1/2 Heisenberg and transverse field Ising models.
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0171-1873 ion of strongly correlated systems presented.Didactical pres.This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from
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Ground State and Finite Temperature Lanczos Methods,es onto the tridiagonal form. We begin with a review of basic principles of the Lanczos method for computing ground-state static as well as dynamical properties. Next, generalization to finite-temperatures in the form of well established finite-temperature Lanczos method is described. The latter all
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