04862nam 22008055 450 991014078890332120200703141009.01-280-38212-097866135600323-642-13290-110.1007/978-3-642-13290-2(CKB)2670000000045353(SSID)ssj0000449739(PQKBManifestationID)11290154(PQKBTitleCode)TC0000449739(PQKBWorkID)10434866(PQKB)11157366(DE-He213)978-3-642-13290-2(MiAaPQ)EBC3065708(PPN)258846038(PPN)149027796(EXLCZ)99267000000004535320100907d2010 u| 0engurnn|008mamaatxtccrAn Introduction to Quantum Spin Systems[electronic resource] /by John B. Parkinson, Damian J. J. Farnell1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XI, 154 p. 22 illus.) Lecture Notes in Physics,0075-8450 ;816Bibliographic Level Mode of Issuance: Monograph3-642-13289-8 Includes bibliographical references and index.Spin Models -- Quantum Treatment of the Spin-½ Chain -- The Antiferromagnetic Ground State -- Antiferromagnetic Spin Waves -- The XY Model -- Spin-Wave Theory -- Numerical Finite-Size Calculations -- Other Approximate Methods -- The Coupled Cluster Method -- Quantum Magnetism.The topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counter-intuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the Jordan-Wigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing.Lecture Notes in Physics,0075-8450 ;816Quantum physicsSolid state physicsQuantum computersSpintronicsLow temperature physicsLow temperaturesPhase transitions (Statistical physics)Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Solid State Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25013Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Low Temperature Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25130Phase Transitions and Multiphase Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P25099Quantum physics.Solid state physics.Quantum computers.Spintronics.Low temperature physics.Low temperatures.Phase transitions (Statistical physics).Quantum Physics.Solid State Physics.Quantum Information Technology, Spintronics.Low Temperature Physics.Phase Transitions and Multiphase Systems.539.7/25Parkinson John Bauthttp://id.loc.gov/vocabulary/relators/aut1023466Farnell Damian J. Jauthttp://id.loc.gov/vocabulary/relators/autBOOK9910140788903321An Introduction to Quantum Spin Systems2431471UNINA