{"product_id":"the-hubbard-model-its-physics-and-mathematical-physics-9780306450037","title":"The Hubbard Model: Its Physics and Mathematical Physics","description":"\u003cp\u003e • Author(s): Dionys Baeriswyl\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Physics - Condensed Matter\u003c\/p\u003e\u003cp\u003e\u003c\/p\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","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45284776149143,"sku":"9780306450037","price":14534.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780306450037.webp?v=1769282192","url":"https:\/\/atlanticbooks.com\/products\/the-hubbard-model-its-physics-and-mathematical-physics-9780306450037","provider":"Atlantic Books","version":"1.0","type":"link"}