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Author: V. Tripathi
Publisher: CRC Press
ISBN: 1351121979
Category : Science
Languages : en
Pages : 316
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Book Description
This book consolidates the older and more recent concepts on weakly-interacting fermions where traditional many-body techniques are adequate. Targeting primarily the advanced undergraduates and graduates, the author has included plenty of examples and problems from contemporary topics of research.
Author: V. Tripathi
Publisher: CRC Press
ISBN: 1351121979
Category : Science
Languages : en
Pages : 316
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Book Description
This book consolidates the older and more recent concepts on weakly-interacting fermions where traditional many-body techniques are adequate. Targeting primarily the advanced undergraduates and graduates, the author has included plenty of examples and problems from contemporary topics of research.
Author: Gordon Baym
Publisher: John Wiley & Sons
ISBN: 3527617167
Category : Science
Languages : en
Pages : 211
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Book Description
A professional reference for physicists working in condensed matter physics as well as in nuclear physics and astrophysics, on Landau's theory of Fermi liquids--a vital theory of both theoretical and practical use. The emphasis is on the practical development and application of the theory.
Author: David Pines
Publisher: CRC Press
ISBN: 0429972296
Category : Science
Languages : en
Pages : 257
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Book Description
This book is concerned with a single group of quantum liquids, normal Fermi liqztids, discussing the nature of elementary excitations, the central concept of response functions. It is intended as a text for a graduate course in quantum statistical mechanics or low temperature theory.
Author: Michael Kinza
Publisher: Springer Nature
ISBN: 3658321911
Category : Science
Languages : en
Pages : 39
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Book Description
This essential offers a compact introduction to the theory of Fermi liquid for physics students in their main studies. It forms the basis for an understanding of theoretical solid state physics and is part of every introductory lecture on this topic. After a brief overview of the Sommerfeld model of metals, the concept of the quasiparticle is introduced. Important calculations characterizing a Fermi liquid are derived in detailed calculations. The essential concludes with an overview of the microscopic theory of Fermi liquids. This Springer essential is a translation of the original German 1st edition essentials, Theorie der Fermiflüssigkeit in Metallen by Michael Kinza, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Author: Miron Ya. Amusia
Publisher: Springer
ISBN: 3319108255
Category : Science
Languages : en
Pages : 375
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Book Description
This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.
Author: Xiao-Gang Wen
Publisher: OUP Oxford
ISBN: 0191523968
Category : Science
Languages : en
Pages : 520
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Book Description
For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.
Author: Michael Kinza
Publisher:
ISBN: 9783658321925
Category :
Languages : en
Pages : 0
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Book Description
This essential offers a compact introduction to the theory of Fermi-liquids for physics students in their main studies. It forms the basis for an understanding of theoretical solid state physics and is part of every introductory lecture on this topic. After a brief overview of the Sommerfeld model of metals, the concept of the quasiparticle is introduced. Important properties characterizing a Fermi liquid are derived in detailed calculations.The essential concludes with an overview of the microscopic theory of a Fermi-liquid. This Springer essential is a translation of the original German 1st edition essentials, Theorie der Fermiflüssigkeit in Metallen by Michael Kinza, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. The content Sommerfeld theory of metals Landau's Fermi-liquid theory Microscopic Fermi-liquid theory Limits of Fermi-liquid theory The target groups Lecturers and students of physics and other natural sciences Physicists as well as natural scientists The Author Dr. Michael Kinza received his Ph.D. in 2013 from RWTH Aachen University in the field of theoretical solid-state physics. Since 2016 he has been working as a high school teacher for the subjects of physics and mathematics.
Author: Miron Amusia
Publisher: Springer Nature
ISBN: 3030503593
Category : Technology & Engineering
Languages : en
Pages : 385
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Book Description
This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the “missing” instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors’ own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.
Author: Andreas W Rost
Publisher: Springer Science & Business Media
ISBN: 3642145248
Category : Science
Languages : en
Pages : 154
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Book Description
Our department nominated this thesis for a Springer award because we regard it as an outstanding piece of work, carried out with a remarkable level of independence. Andreas Rost joined us in 2005, as one of the inaugural Prize Students of the Scottish Universities Physics Alliance. Our research group has been working on Sr Ru O , in collaboration with our colleagues in the group of Professor Y. Maeno 3 2 7 at Kyoto, since 1998. By early 2005 we had tantalising evidence that a novel phase was forming at very low temperatures, in an overall phase diagram dominated by quantum ?uctuations. We knew that comprehensive thermodynamic information would be needed in order to understand how this was happening, and that the demanding constraints of low temperature and high magnetic ?eld meant that bespoke apparatus would need to be constructed. Andreas had studied the speci?c heat of glasses below 50 mK during his diploma thesis work at Heidelberg, and was brimming with ideas about how to proceed. We gave him advice, and constantly discussed the physics with him, but quickly realised that the best way to proceed practically was to give him a budget, and let him take the main design decisions, double-checking with us from time to time.
Author: Umang Mehta
Publisher: Springer
ISBN: 9783031724022
Category : Science
Languages : en
Pages : 0
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Book Description
This thesis develops a new approach to Fermi liquids based on the mathematical formalism of coadjoint orbits, allowing Landau’s Fermi liquid theory to be recast in a simple and elegant way as a field theory. The theory of Fermi liquids is a cornerstone of condensed matter physics with many applications, but efforts to cast Landau’s Fermi liquid theory in the modern language of effective field theory suffer from technical and conceptual difficulties: the Fermi surface seems to defy a simple effective field theory description. This thesis reviews the recently-developed formalism for Fermi liquids that exploits an underlying structure described by the group of canonical transformations of a single particle phase space. This infinite-dimensional group governs the space of states of zero temperature Fermi liquids and allows one to write down a nonlinear, bosonized action that reproduces Landau’s kinetic theory in the classical limit. The thesis then describes how that Fermi liquid theory can essentially be thought of as a non-trivial representation of the Lie group of canonical transformations, bringing it within the fold of effective theories in many-body physics whose structure is determined by symmetries. After analyzing the benefits and limitations of this geometric formalism, pathways to extensions of the formalism to include superconducting and magnetic phases, as well as applications to the problem of non-Fermi liquids, are discussed. The thesis begins with a pedagogical review of Fermi liquid theory and concludes with a discussion on possible future directions for Fermi surface physics, and more broadly, the usefulness of diffeomorphism groups in condensed matter physics.
