LEADER 04835nam 22008055 450 001 9910140788903321 005 20200703141009.0 010 $a1-280-38212-0 010 $a9786613560032 010 $a3-642-13290-1 024 7 $a10.1007/978-3-642-13290-2 035 $a(CKB)2670000000045353 035 $a(SSID)ssj0000449739 035 $a(PQKBManifestationID)11290154 035 $a(PQKBTitleCode)TC0000449739 035 $a(PQKBWorkID)10434866 035 $a(PQKB)11157366 035 $a(DE-He213)978-3-642-13290-2 035 $a(MiAaPQ)EBC3065708 035 $z(PPN)258846038 035 $a(PPN)149027796 035 $a(EXLCZ)992670000000045353 100 $a20100907d2010 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 13$aAn Introduction to Quantum Spin Systems /$fby John B. Parkinson, Damian J. J. Farnell 205 $a1st ed. 2010. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010. 215 $a1 online resource (XI, 154 p. 22 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v816 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-13289-8 320 $aIncludes bibliographical references and index. 327 $aSpin 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. 330 $aThe topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counter-intuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the Jordan-Wigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v816 606 $aQuantum physics 606 $aSolid state physics 606 $aQuantum computers 606 $aSpintronics 606 $aLow temperature physics 606 $aLow temperatures 606 $aPhase transitions (Statistical physics) 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aLow Temperature Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25130 606 $aPhase Transitions and Multiphase Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P25099 615 0$aQuantum physics. 615 0$aSolid state physics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aLow temperature physics. 615 0$aLow temperatures. 615 0$aPhase transitions (Statistical physics). 615 14$aQuantum Physics. 615 24$aSolid State Physics. 615 24$aQuantum Information Technology, Spintronics. 615 24$aLow Temperature Physics. 615 24$aPhase Transitions and Multiphase Systems. 676 $a539.7/25 700 $aParkinson$b John B$4aut$4http://id.loc.gov/vocabulary/relators/aut$01023466 702 $aFarnell$b Damian J. J$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910140788903321 996 $aAn Introduction to Quantum Spin Systems$92431471 997 $aUNINA