{"product_id":"key-methods-and-concepts-in-mucio-amado-continentino-9780750333931","title":"Key Methods and Concepts in Condensed Matter Physics: Green's functions and real space renormalization group","description":"\u003cp\u003eThis book aims to present a concise introduction, for graduate students and researchers, to powerful techniques and important concepts in condensed matter physics. Key conceptual elements include the fluctuation-dissipation theorem, the theory of critical phenomena (both classical and quantum) and the renormalization group. The book focuses on the Green's functions method and the real space renormalization group (RG). \u003c\/p\u003e\u003cp\u003e The Green's function method has been used extensively to study a large variety of problems in physics. In the book we present a generalized version of this method that allows one to use perturbation theory including time dependent perturbations. This can be used to treat a variety of new fundamental problems in condensed matter, such as quantum and topological phase transitions. \u003c\/p\u003e\u003cp\u003eThe real space renormalization group is a highly intuitive method to introduce main concepts in statistical mechanics and the theory of phase transitions. The book discusses the notion of scale invariance, stable and unstable fixed points, flow in parameter space, crossover and relevant and irrelevant perturbations. These will be illustrated with several examples. The book illustrates that the real space RG is very useful for treating problems such as percolation and localized magnetism as described, for example, by the Ising model.\u003c\/p\u003e\u003cp\u003eThe book considers problems in both pure and disordered condensed matter systems and discusses the new effects introduced by the latter. \u003c\/p\u003e\u003cp\u003e The book presents the solutions of some fundamental problems in condensed matter physics using the methods and tools introduced in the chapters. The calculations will be carried out with step-by-step details to help readers master the techniques.\u003c\/p\u003e\u003cp\u003e Finally, the book explores how the Green's functions and real space RG techniques detailed can be used to study modern problems arising from the consideration of topological aspects of condensed matter. \u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eKey Features: \u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eProvides a generalization of the Green's function method that allows for the treatment of a much larger variety of problems, which should encourage people to study and use it.\u003c\/li\u003e\n\u003cli\u003eSuitable for readers who want to learn about real space renormalization group (RG), whilst avoiding Feynman diagrams and perturbation expansions. The ideas and methods will be introduced by considering different examples.\u003c\/li\u003e\n\u003cli\u003eContains material that can be covered within a semester and is therefore not too long.\u003c\/li\u003e\n\u003cli\u003eProvides the reader with the tools to tackle their own problems.\u003c\/li\u003e\n\u003cli\u003eConsiders actual problems in condensed matter physics such as; quantum phase transition, topological aspects of condensed matter and the effect of disorder on physical properties.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mucio A. Continentino\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0750333936\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780750333931\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e IOP Publishing Ltd\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/27\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 120\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.99lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 0.38d","brand":"Mucio A. Continentino","offers":[{"title":"Hardcover","offer_id":43943641776383,"sku":"9780750333931","price":120.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_6c06cef3-baed-4843-9ba5-dcb358e2a927.jpg?v=1681499237","url":"https:\/\/www.whiterainbookhouse.com\/products\/key-methods-and-concepts-in-mucio-amado-continentino-9780750333931","provider":"WR Book House","version":"1.0","type":"link"}