LEADER 05386nam 2200721Ia 450 001 9910465424503321 005 20200520144314.0 010 $a1-299-28129-X 010 $a981-4355-51-8 035 $a(CKB)2560000000099537 035 $a(EBL)1143325 035 $a(OCoLC)830162377 035 $a(SSID)ssj0000834199 035 $a(PQKBManifestationID)11509343 035 $a(PQKBTitleCode)TC0000834199 035 $a(PQKBWorkID)10981398 035 $a(PQKB)11755418 035 $a(MiAaPQ)EBC1143325 035 $a(WSP)00002920 035 $a(Au-PeEL)EBL1143325 035 $a(CaPaEBR)ebr10674342 035 $a(CaONFJC)MIL459379 035 $a(EXLCZ)992560000000099537 100 $a20130222d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical mechanics of magnetic excitations$b[electronic resource] $efrom spin waves to stripes and checkerboards /$fEnrico Rastelli 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2013 215 $a1 online resource (359 p.) 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 606 $aMagnetic resonance 606 $aNuclear spin 606 $aSpin excitations 606 $aSpin waves 606 $aStatistical mechanics 608 $aElectronic books. 615 0$aMagnetic resonance. 615 0$aNuclear spin. 615 0$aSpin excitations. 615 0$aSpin waves. 615 0$aStatistical mechanics. 676 $a539.7/25 700 $aRastelli$b Enrico$0953379 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465424503321 996 $aStatistical mechanics of magnetic excitations$92155271 997 $aUNINA