Series Expansion Methods for Strongly Interacting Lattice Models

Series Expansion Methods for Strongly Interacting Lattice Models by Jaan Oitmaa Download PDF EPUB FB2

This book gives a comprehensive guide to the use of series expansion methods for investigating phase transitions and critical phenomena, and lattice models of quantum magnetism, strongly correlated electron systems and elementary by: Request PDF | Series Expansion Methods for Strongly Interacting Lattice Models | Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations.

Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations in many areas of theoretical physics. This book gives a comprehensive guide to the use of series expansion methods for investigating phase transitions and critical phenomena, and lattice models of quantum magnetism, strongly Cited by: Preface; 1.

Introduction; 2. High- and low-temperature expansions for the Ising Model; 3. Models with continuous symmetry and the free graph expansion; 4.

Quantum spin models at T = 0; 5. Quantum antiferromagnets at T = 0; 6. Correlators, dynamical structure factors and multi-particle excitations; 7. Quantum spin models at finite temperature; 8. Electronic models; 9. Review of lattice gauge Cited by: Get this from a library.

Series expansion methods for strongly interacting lattice models. [Jaan Oitmaa; Christopher Hamer; Weihong Zheng] -- "This book gives a comprehensive guide to the use of series expansion methods for investigating phase transitions and critical phenomena, and lattice models of quantum magnetism, strongly correlated.

Get this from a library. Series Expansion Methods for Strongly Interacting Lattice Models. [Jaan Oitmaa; Chris Hamer; Weihong Zheng; Cambridge University Press.;] -- Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations in many areas of theoretical physics.

This book gives a comprehensive guide to the. SERIES EXPANSION METHODS FOR STRONGLY INTERACTING LATTICE MODELS on linked cluster series expansion methods. He is presently a Senior Research - Series Expansion Methods for Strongly Interacting Lattice Models Jaan Oitmaa, Chris Hamer and Weihong Zheng Frontmatter More information.

Created Date. Series Expansion Methods for Strongly Interacting Lattice Models 作者: Oitmaa, Jaan/ Hamer, Chris/ Zheng, Weihong 出版社: Cambridge Univ Pr 出版年: 页数: 定价: $ 装帧: HRD ISBN: J.

Oitmaa, C. Hamer, W. Zheng, Series Expansion Methods for Strongly Interacting Lattice Models (Cambridge University Press, ) Google Scholar R.K. Pathria, Statistical Mechanics, 2nd edn. (Butterworth-Heinemann, ) Google Scholar. Oitmaa, C. Hamer, W.

Zheng, Series Expansion Methods for Strongly Interacting Lattice Models (Cambridge University Press, Cambridge, ) CrossRef zbMATH Google Scholar. We have published a book on series expansion techniques, ‘Series Expansion Methods for Strongly Interacting Lattice Models’, by Jaan Oitmaa, Chris Hamer.

Request PDF | Series expansion study of quantum percolation on the square lattice | We study the site and bond quantum percolation model on the two-dimensional square lattice using series. Preface page viii 1 Introduction 1 Lattice models in theoretical physics 1 Examples and applications 1 The important questions 10 Series expansion methods 14 Analysis of series 19 2 High- and low-temperature expansions for the Ising model 26 Introduction 26 Graph generation and computation of lattice constants 30 Broecker, Peter and Trebst, Simon Numerical stabilization of entanglement computation in auxiliary-field quantum Monte Carlo simulations of interacting many-fermion systems.

Physical Review E, Vol. 94, Issue. We study corrections to single tetrahedron based approximations for the entropy, specific heat and uniform susceptibility of the pyrochlore lattice Ising antiferromagnet, by a Numerical Linked Cluster (NLC) expansion. In a tetrahedron based NLC, the first order gives the Pauling residual entropy of 12log32≈ A th order NLC calculation changes the residual entropy to a.

Series Expansion Methods for Strongly Interacting Lattice Models has a nice introduction to some of the methods, many of which work (though more slowly) on complex (or simply complicated and inhomogenous) graphs. Although the explicit discussion in the next several paragraphs will be concerned entirely with this model, it should be fairly clear that other models (such as the Kondo lattice model, variants of the t-J model, the Heisenberg-Ising model, and other models for which the ground-state properties have been studied by means of series expansions.

Lattice model may refer to. Lattice model (physics), a physical model that is defined on a periodic structure with a repeating elemental unit pattern, as opposed to the continuum of space or spacetime Lattice model (finance), a "discrete-time" model of the varying price over time of the underlying financial instrument, during the life of the instrument.

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The interaction between sites depends only on whether or not the spins are in the same state. In three dimensions, these Potts models, with two- site interactions are the duals of lattice gauge the- ory models [14,4,47,46]. The low-T Potts model expansion variable is z = exp(-AE/kBT) and the natural high-T vari- able is v = (1 - z)/(1 + (q- 1)z).

(QMC) methods with loop-cluster updates [31, 32, 33] can be used to study a wide range of spin and boson models in any number of dimensions, typically on lattices with up sites or more in the ground state, and much larger still at elevated temperatures.

Computational Studies of Quantum Spin Systems Octo 2.Abstract: Strong theoretical arguments suggest that the Higgs sector of the Standard Model of the Electroweak interactions is an effective low-energy theory, with a more fundamental theory that is expected to emerge at an energy scale of the order of the TeV.

One possibility is that the more fundamental theory be strongly interacting and the Higgs sector be given by the low-energy dynamics .To disentangle the role of Cu–lattice expansion and charge depletion for the observed magnetic hardening of Cu at molecular interfaces, we study several models of interfaces between FCC Cu and organic systems with different electron-accepting properties, steric hindrance, or excluded volume and owing to a different extent of π-conjugation.