{"product_id":"9781489910448","title":"NATO Science Series B:: Its Physics and Mathematical Physics","description":"\u003ch1\u003eNATO Science Series B:: Its Physics and Mathematical Physics\u003c\/h1\u003e \u003ch2\u003eBaeriswyl, Dionys; Campbell, David K.; Carmelo, Jose M.P.; Guinea, Francisco; Louis, Enrique\u003c\/h2\u003e \u003cp\u003eIn the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret­ ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio (\"Ujt\") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met­ als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study \"solvable\" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-06-19\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781489910448\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4899-1042-4\u003c\/p\u003e \u003cp\u003eDimensions: 254cm x178cm\u003c\/p\u003e \u003cp\u003ePages: 407\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":44343474815116,"sku":"9781489910448","price":197.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781489910448.jpg?v=1770783309","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781489910448","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}