{"product_id":"9780306450037","title":"The Hubbard Model Its Physics and Mathematical Physics","description":"\u003ch3\u003eNATO Science Series B:\u003c\/h3\u003e\u003ch1\u003eThe Hubbard Model\u003c\/h1\u003e\u003ch2\u003eIts Physics and Mathematical Physics\u003c\/h2\u003e\u003ch3\u003eDionys Baeriswyl | David K. Campbell | Jose M.P. Carmelo | Francisco Guinea | Enrique Louis\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eScience \/ Physics \/ Nuclear\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\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\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e30 November 1995\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer US\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780306450037\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e407\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer US","offers":[{"title":"Default Title","offer_id":52241578328204,"sku":"9780306450037","price":197.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780306450037.jpg?v=1786539867","url":"https:\/\/lateknightbooks.com\/products\/9780306450037","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}