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Quantum physics in one dimension

Author: Thierry Giamarchi
Publisher: Oxford : Clarendon ; New York : Oxford University Press, 2004.
Series: International series of monographs on physics (Oxford, England), 121.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Provides a pedagogical introduction to the physics of one-dimensional systems. After an introduction to the basic concepts of correlated systems, this book gives a step-by-step description of the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Thierry Giamarchi
ISBN: 0198525001 9780198525004
OCLC Number: 52784724
Description: xvi, 424 p. : ill. ; 24 cm.
Contents: Peculiarities of d = 1 --
Crash course on Fermi liquids --
One dimension: Failure of perturbation theory --
How to solve --
Dzyaloshinskii-Larkin solution --
Renormalization solution --
Bosonization --
Spinless model; representation of excitations --
Physical properties and correlation functions --
Thermodynamics --
Correlations --
Model with spin; charge and spin excitations --
Physical observables --
Renormalization equations for sine-Gordon Hamiltonians --
Phase diagram --
Luttinger liquids --
Phenomenological bosonization --
Semiclassical and physical interpretations --
Links with 2D statistical mechanics --
Elastic systems --
Coulomb gas and XY model --
Basics of conformal theory --
Refinements --
Long-range interactions --
Mott transition --
Basic ingredients --
Commensurate case: Lutber-Emery solution --
Doping; C-IC transition --
Effects of magnetic field and magnetic anisotropy --
Magnetic field --
Magnetic anisotropies --
Logarithmic corrections of correlation functions --
Microscopic methods --
Bethe-ansatz --
Spin chain --
One, two, three --
Many; Bethe-ansatz --
Bethe-ansatz and Luttinger liquids --
Partial solution of the equations --
A zest of numerics --
Exact diagonalizations --
Monte-Carlo --
DMRG --
Spin 1/2 chains --
Physical properties of the spin 1/2 chain --
Hamiltonian --
Bosonization solution --
Finite magnetic field --
Extensions --
Frustrated chains --
Spin-Peierls --
Experimental realization of spin chains --
Coupled chains --
Spin ladders --
Infinite number of chains.
Series Title: International series of monographs on physics (Oxford, England), 121.
Responsibility: Thierry Giamarchi.
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The book is written in a clear style, most often trying to convey the main results without too many details of technicalities. Bassano Vacchini, Zentralblatt MATH, Vol 1075, 2006 The quality of the Read more...

 
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