LEADER 05132oam 2200589 450 001 9910792054203321 005 20190911112728.0 010 $a1-299-28129-X 010 $a981-4355-51-8 035 $a(OCoLC)860642459 035 $a(MiFhGG)GVRL8RAI 035 $a(EXLCZ)992560000000099537 100 $a20130222h20132013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical mechanics of magnetic excitations $efrom spin waves to stripes and checkerboards /$fEnrico Rastelli, Institute of Materials for Electronics and Magnetism, CNR and Department of Physics, University of Parma, Italy 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2013 210 1$aNew Jersey :$cWorld Scientific,$d[2013] 210 4$d?2013 215 $a1 online resource (xi, 346 pages) $cillustrations 225 0 $aSeries on advances in statistical mechanics ;$vvol. 18 300 $aDescription based upon print version of record. 311 $a981-4355-50-X 320 $aIncludes bibliographical references and index. 327 $aPreface; CONTENTS; 1. Magnetic Hamiltonians; 1.1. Hydrogen Molecule Hamiltonian; 1.2. Heisenberg Hamiltonian; 1.3. Spin Wave Excitations; 1.4. Two-Spin Deviation Excitations; 1.5. Two-Spin Deviation States in a Ring; 1.6. Spin Waves in Classical Mechanics; 1.7. Heisenberg Hamiltonian for Actual Compounds; 2. Spin Waves in Ferromagnets; 2.1. Spin-Boson Transformation; 2.2. Bosonic Approach to the Heisenberg Hamiltonian; 2.3. Harmonic Approximation; 2.4. Low Temperature Thermodynamic Functions; 2.5. Application to Quasi-2D and Quasi 1D-models; 3. Interacting Spin Waves in Ferromagnets 327 $a3.1. Neutron Scattering Cross-Section3.2. Boson Green Function; 3.3. First-Order Approximation; 3.4. Second-Order Approximation; 3.5. Dyson's Equation; 3.6. Renormalization and Damping; 4. Feynman Diagrams Expansion in Ferromagnets; 4.1. Temperature Green Function and Perturbation Expansion; 4.2. First-Order Perturbation Theory; 4.3. Second-Order Perturbation Theory; 4.4. Third-order Perturbation Theory; 4.5. T-matrix Approximation; 5. Two-Magnon Bound States in Ferromagnets; 5.1. Two-Spin Deviation Eigenstates; 5.2. Bound States in 1D; 5.3. Bound States in 2D; 5.4. Bound States in 3D 327 $a5.5. Bound States in Anisotropic Ferromagnets6. Perturbation Theory in Planar Ferromagnets; 6.1. Bogoliubov Transformation; 6.2. The Dyson Matrix Equation; 6.3. First-order Perturbation Theory; 6.4. Second-Order Perturbation Theory; 7. Spin Waves in Non-Collinear Systems; 7.1. Local Axis Transformation and Boson Hamiltonian; 7.2. Harmonic Approximation and Bogoliubov Transformation; 7.3. Ground-State Configurations; 7.4. Neel Antiferromagnet; 7.5. Antiferromagnetism in Close-Packed Lattices; 7.6. Order by Quantum and Thermal Disorder; 7.7. Frustration by Competing Interactions: Square Lattice 327 $a7.8. Frustration by Competing Interactions: Triangular Lattice7.9. Frustration by Competing Interaction: Honeycomb Lattice; 7.10. Neutron Scattering Cross-Section for a Helimagnet; 8. Spin Waves in Multilayers; 8.1. Spin Green Functions and Random Phase Approximation; 8.2. Multilayers; 8.3. Bilayer; 8.4. Trilayer; 8.5. Classical Spin Waves in Multilayers; 8.6. Classical Spin Waves in a Semi-Infinite Medium; 9. Spin Waves in Systems with Long Range Interaction; 9.1. Dipole-Dipole Interaction; 9.2. Dipolar Sums and Ewald's Method; 9.3. Ground-State Configuration of ErBa2Cu3O6+x 327 $a9.4. CEF Calculation for ErBa2Cu3O6+x9.5. Spin Waves in ErBa2Cu3O7; 10. Long Range Interactions in 2D Systems; 10.1. Dipole-Dipole Interaction in 2D Systems; 10.2. Planar Rotator Model with Long Range Interactions; 10.3. Stripes and Checkerboards in 2D Ising Model; 10.4.Monte Carlo Simulation; References; Index 330 $aThe aim of this advanced textbook is to provide the reader with a comprehensive explanation of the ground state configurations, the spin wave excitations and the equilibrium properties of spin lattices described by the Ising-Heisenberg Hamiltonians in the presence of short (exchange) and long range (dipole) interactions.The arguments are presented in such detail so as to enable advanced undergraduate and graduate students to cross the threshold of active research in magnetism by using both analytic calculations and Monte Carlo simulations.Recent results about unorthodox spin configurations suc 410 0$aSeries on advances in statistical mechanics ;$vv. 18. 606 $aSpin excitations 606 $aNuclear spin 606 $aMagnetic resonance 606 $aStatistical mechanics 606 $aSpin waves 615 0$aSpin excitations. 615 0$aNuclear spin. 615 0$aMagnetic resonance. 615 0$aStatistical mechanics. 615 0$aSpin waves. 676 $a539.7/25 700 $aRastelli$b Enrico$01555784 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910792054203321 996 $aStatistical mechanics of magnetic excitations$93817954 997 $aUNINA