{"title":"Physics: Condensed Matter","description":"","products":[{"product_id":"quantum-phases-of-matter","title":"Quantum Phases of Matter","description":"This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts.","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":43897439453423,"sku":"9781009212694","price":49.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781009212694i.jpg?v=1681307407"},{"product_id":"field-theory-of-non-equilibrium-systems","title":"Field Theory of Non-Equilibrium Systems","description":"\u003cp\u003e\u003cspan\u003eThe physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. In this Second Edition, the text has been substantially updated to include recent developments in the field such as driven-dissipative quantum systems, kinetics of fermions with Berry curvature, and Floquet kinetics of periodically driven systems, among many other important new topics. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.\u003c\/span\u003e\u003c\/p\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":45818387529967,"sku":"9781108488259","price":69.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9781108488259i.jpg?v=1725634554"},{"product_id":"bosonization-and-strongly-correlated-systems","title":"Bosonization and Strongly Correlated Systems","description":"\u003ctable cellspacing=\"1\" id=\"jacket_table\"\u003e\n\u003ctbody\u003e\n\u003ctr\u003e\n\u003ctd id=\"catalog\" rowspan=\"2}\"\u003e\n\u003cp\u003eThis volume provides a detailed account of bosonization. This important technique represents one of the most powerful nonperturbative approaches to many-body systems currently available. The first part of the book examines the technical aspects of bosonization. Topics include one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-1\/2 Heisenberg chain with alternating exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem. This book will be an excellent reference for researchers and graduate students working in theoretical physics, condensed matter physics and field theory.\u003c\/p\u003e\n\u003ch5\u003eContents\u003c\/h5\u003e\n\u003cp\u003ePreface; Acknowledgements; Part I. Technical Aspects of Bosonization: 1. A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation; 2. One-dimensional fermions. States near the Fermi points; 3. Gaussian model. Lagrangian formulation; 4. Conformal symmetry and finite size effects; 5. Virasoro algebra; 6. Structure of Hilbert space in conformal theories; 7. Current (Kac-Moody) algebras: the first assault; 8. Relevant and irrelevant fields; 9. Bose-Einstein condensation in two dimensions; Beresinskii-Kosterlitz-Thouless transition; 10. The sine-Gordon model; 11. Spin S=1\/2 Heisenberg-Ising chain; 12. Ising model; 13. More about WZNW model; 14. Non-Abelian bosonization; Part II. Application of the Bosonization Technique to Physical Models in (1+1)-Dimensions: 15. Interacting fermions with spin; 16. Spin-1\/2 Tomonaga-Luttinger liquid; 17. Instabilities of Tomonaga-Luttinger liquid; 18. Interacting fermions with broken spin rotational symmetry; 19. What happens with Tomonaga-Luttinger liquid in three dimensions; 20. Two weakly coupled Tomonaga-Luttinger liquids; spinless case; 21. Spin liquids in one dimension: example of spin-ladders; 22. Spin-1\/2 Heisenberg chain with alternating exchange; 23. Superconductivity in a doped spin liquid; 24. Edge states in quantum Hall effect; Part III. Single Impurity Problems: 25. Potential scattering; 26. X-ray edge problem (Fermi liquids); 27. Impurities in Tomonaga-Luttinger liquid; 28. Multi-channel Kondo problem; General Bibliography; Index.\u003c\/p\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/tbody\u003e\n\u003c\/table\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":56478695424386,"sku":"9780521617192","price":53.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9780521617192i.jpg?v=1773743579"},{"product_id":"quantum-field-theory-in-condensed-matter-physics","title":"Quantum Field Theory in Condensed Matter Physics","description":"\u003cp\u003eThis book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1\/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.\u003c\/p\u003e\n\u003ch5\u003eContents\u003c\/h5\u003e\n\u003cp\u003ePreface; Acknowledgements; Part I. Introduction to Methods: 1. QFT: language and goals; 2. Connection between quantum and classical: path integrals; 3. Definitions of correlation functions: Wick's theorem; 4. Free bosonic field in an external field; 5. Perturbation theory: Feynman diagrams; 6. Calculation methods for diagram series: divergences and their elimination; 7. Renormalization group procedures; 8. O(N)-symmetric vector model below the transition point; 9. Nonlinear sigma models in two dimensions: renormalization group and 1\/N-expansion; 10. O(3) nonlinear sigma model in the strong coupling limit; Part II. Fermions: 11. Path integral and Wick's theorem for fermions; 12. Interaction electrons: the Fermi liquid; 13. Electrodynamics in metals; 14. Relativistic fermions: aspects of quantum electrodynamics; 15. Aharonov-Bohm effect and transmutation of statistics; Part III. Strongly Fluctuating Spin Systems: Introduction; 16. Schwinger-Wigner quantization procedure: nonlinear sigma models; 17. O(3) nonlinear sigma model in (2+1) dimensions: the phase diagram; 18. Order from disorder; 19. Jordan-Wigner transformations for spin S=1\/2 models in D=1, 2, 3; 20. Majorana representation for spin S=1\/2 magnets: relationship to Z2 lattice gauge theories; 21. Path integral representations for a doped antiferromagnet; Part IV. Physics in the World of One Spatial Dimension: Introduction; 22. Model of the free bosonic massless scalar field; 23. Relevant and irrelevant fields; 24. Kosterlitz-Thouless transition; 25. Conformal symmetry; 26. Virasoro algebra; 27. Differential equations for the correlation functions; 28. Ising model; 29. One-dimensional spinless fermions: Tomonaga-Luttinger liquid; 30. One-dimensional fermions with spin: spin-charge separation; 31. Kac-Moody algebras: Wess-Zumino-Novikov-Witten model; 32. Wess-Zumino-Novikov-Witten model in the Lagrangian form: non-Abelian bosonization; 33. Semiclassical approach to Wess-Zumino-Novikov-Witten models; 34. Integrable models: dynamical mass generation; 35. A comparative study of dynamical mass generation in one and three dimensions; 36. One-dimensional spin liquids: spin ladder and spin S=1 Heisenberg chain; 37. Kondo chain; 38. Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum chromodynamics; Select bibliography; Index.\u003c\/p\u003e\n\u003cdiv id=\"review\"\u003e\n\u003ch5\u003eReview 1\u003c\/h5\u003e\n\u003cp\u003eFrom reviews of the first edition: '… bridges the gap in the current research literature on low-dimensional electron and spin model systems … I expect my copy to become one of the more ratty items on my shelf.' Physics Today\u003c\/p\u003e\n\u003ch5\u003eReview 2\u003c\/h5\u003e\n\u003cp\u003e'Throughout the whole book, the key concepts of QFT related to condensed matter physics are concisely introduced, with examples and excercises added at the end of the chapters when necessary and references listed for each chapter …' Materials Research Bulletin\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":56479209881986,"sku":"9780521529808","price":56.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9780521529808i.jpg?v=1773753172"},{"product_id":"many-body-greens-functions-for-time-dependent-problems","title":"Many-Body Green's Functions for Time-Dependent Problems","description":"\u003cp\u003eQuantum many-body systems are a central feature of condensed matter physics, relevant to important, modern research areas such as ultrafast light-matter interactions and quantum information. This book offers detailed coverage of the contour Green's function formalism – an approach that can be successfully applied to solve the quantum many-body and time-dependent problems present within such systems. Divided into three parts, the text provides a structured overview of the relevant theoretical and practical tools, with specific focus on the Schwinger-Keldysh formalism. Part I introduces the mathematical frameworks that make use of Green's functions in normal phase states. Part II covers fermionic superfluid phases with discussion of topics such as the BCS-BEC crossover and superconducting systems. Part III deals with the application of the Schwinger-Keldysh formalism to various topics of experimental interest. Graduate students and researchers will benefit from the book's comprehensive treatment of the subject matter and its novel arrangement of topics.\u003c\/p\u003e\n\u003ch5\u003eContents\u003c\/h5\u003e\n\u003cp\u003ePart I. Normal Phase; 1. Introduction; 2. The Schrödinger and Heisenberg Representations; 3. Splitting the Hamiltonian: Heisenburg and Interaction Pictures; 4. Time-dependent Quantum and Ensemble Averages: Initial Preparation of the System; 5. Quantum Averages over the Ground State and Gell-Mann-Low Theorem; 6. The Contour Idea for Time-dependent Averages: Forward and Backward Branches; 7. Closed Time Path Green's Functions; 8. Dynamics for a Correlated Initial State and Various Kinds of Contours in the Complex Time Plane; 9. Perturbation Theory: Wick's Theorem for Strings of Operators Ordered Along a Contour; 10. Non-equilibrium Diagrammatics: Feynman Rules; 11. Non-equilibrium Dyson Equations; 12. Kubo-Martin-Schwinger Boundary Conditions; 13. Converting Contour-time to Real-time Arguments; 14. Langreth Rules: Convolutions and Products; 15. The Kadanoff-Baym Equations; 16. The T-matrix Approximation in the Normal Phase; 17. Contour Diagrammatic Structure in Terms of Functional Derivatives; 18. Beyond Linear-response Theory; 19. Time-dependent Hartree-Fock Approximation and Mean-field Decoupling; 20. Miscellany and Addenda to Part I; 21. Time-dependent Version of the BCS Hamiltonian: Gor'kov Equations for the Normal and Anomalous Single-particle Green's Functions; 22. The Hamiltonian in the Nambu Representation and Role of the Hartree-Fock-BCS Self-energy; 23. Contour-ordered Green's Functions in the Nambu Representation; 24. The T-matrix Approximation in the Superfluid Phase; 25. Derivation of the Time-dependent Bogoliubov-deGennes Equations; 26. A Brief Excursus to the BCS-BEC Crossover; 27. Analytic Continuation from the Imaginary to the Real Time Axis; 28. Derivation of the Time-dependent Gross-Pitaevskii Equation for Composite Bosons in the BEC Limit of the BCS-BEC Crossover; 29. Derivation of the Time-dependent Ginzburg-Landau (TDGL) Equation for Cooper pairs in the BCS Limit of the BCS-BEC Crossover; 30. Real-frequency Green's Functions from the Kadanoff-Baym Equations in the Equilibrium Case; 31. Miscellany and Addenda to Part II; 32. An Overview on Applications: Yesterday, Today, and Tomorrow; 33. Driven Open Quantum Systems; 34. Extension to Superfluid Fermi systems; 35. Connection between the Schwinger-Keldysh Closed-contour Approach and the Lindblad Master Equation; 36. State-of-the-art Numerical Methods; 37. Miscellany and Addenda to Part III.\u003c\/p\u003e\n\u003cdiv id=\"review\"\u003e\n\u003ch5\u003eReview 1\u003c\/h5\u003e\n\u003cp\u003e'Professor Strinati provides us with a pleasant and expert overview of the various standard techniques used in handling the many-body problem, mainly in fermionic systems. The book covers not only the classical Green's functions methods appropriate for equilibrium situations, but also the remarkable extension to out of equilibrium situations with the Keldysh formalism. It also addresses the famous Kadanoff and Baym approach. As a physical example for application Professor Strinati has chosen the fascinating phenomenon of the BEC-BCS crossover in ultracold fermionic atoms, a field in which he has made very important contributions. I highly recommend this remarkable book.' Roland Combescot, Ecole Normale Supérieure, Paris\u003c\/p\u003e\n\u003ch5\u003eReview 2\u003c\/h5\u003e\n\u003cp\u003e'Echoing the pedagogical style of Enrico Fermi, Professor Strinati guides the reader step-by-step through the nonequilibrium Green's function formalism. The text stands out for its mathematical completeness, offering rigorous derivations that expose theoretical details frequently omitted elsewhere. Bridging this foundational clarity with modern applications in ultracold gases, it serves as a valuable tutorial for students and an essential reference for researchers.' Hui Zhai, Institute for Advanced Study, Tsinghua University\u003c\/p\u003e\n\u003ch5\u003eReview 3\u003c\/h5\u003e\n\u003cp\u003e'Since Feynman introduced diagrammatic methods in quantum field theory, the techniques have undergone extensive development and now underpin a wide range of applications. These methods have required even further expansion to meet the challenges of describing nonequilibrium phenomena and nonlinear processes. This book is devoted to a key breakthrough in this field – the Keldysh formalism, or nonequilibrium Green's functions. Professor Giancarlo Calvanese Strinati, a world-renowned expert in condensed-matter theory, first presents the foundations and subtleties of the method and then applies it to a broad set of modern problems—from high-temperature superconductivity and ultracold gases to other strongly correlated systems, mesoscopic physics, and nanoscale electronics. I am confident that this monograph will help new generations of researchers master modern diagrammatic techniques, appreciate their elegance, and use them to drive future advances in understanding complex quantum systems.' Andrey Varlamov, CNR-SPIN, Rome\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":56479279710594,"sku":"9781009411547","price":60.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9781009411547i.jpg?v=1773754387"},{"product_id":"composite-fermions","title":"Composite Fermions","description":"\u003cp\u003eThis book was first published in 2007. When electrons are confined to two dimensions, cooled to near absolute zero temperature, and subjected to a strong magnetic field, they form an exotic new collective state of matter. Investigations into this began with the observations of integral and fractional quantum Hall effects, which are among the most important discoveries in condensed matter physics. The fractional quantum Hall effect and a stream of other unexpected findings are explained by a new class of particles: composite fermions. This textbook is a self-contained, pedagogical introduction to the physics and experimental manifestations of composite fermions. Ideal for graduate students and academic researchers, it contains numerous exercises to reinforce the concepts presented. The topics covered include the integral and fractional quantum Hall effects, the composite-fermion Fermi sea, various kinds of excitations, the role of spin, edge state transport, electron solid, bilayer physics, fractional braiding statistics and fractional local charge.\u003c\/p\u003e\n\u003ch5\u003eContents\u003c\/h5\u003e\n\u003cp\u003ePreface; List of symbols and abbreviations; 1. Overview; 2. Quantum Hall effect; 3. Landau levels; 4. Theory of the IQHE; 5. Foundations of the composite fermion theory; 6. Microscopic verifications; 7. Theory of the FQHE; 8. Incompressible ground states and their excitations; 9. Topology and quantizations; 10. Composite fermion Fermi sea; 11. Composite fermions with spin; 12. Non-composite fermion approaches; 13. Bilayer FQHE; 14. Edge physics; 15. Composite fermion crystals; Appendices: A. Gaussian integral; B. Useful operator identities; C. Point flux tube; D. Adiabatic insertion of a point flux; E. Berry phase; F. Second quantization; G. Green's functions, spectral function, tunneling; H. Off-diagonal long-range order; I. Total energies and energy gaps; J. Lowest Landau level projection; K. Metropolis Monte Carlo; L. Composite fermion diagonalization; References; Index.\u003c\/p\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":56479340331394,"sku":"9781107404250","price":62.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9781107404250i.jpg?v=1773755721"},{"product_id":"full-quantum-effects-in-condensed-matter-physics","title":"Full Quantum Effects in Condensed Matter Physics","description":"\u003cp\u003eAs physical science advances, theoretical simulations become increasingly reflective of realistic systems, and experimental observations become more precise and refined. Thus, going beyond the Born–Oppenheimer approximation is inevitable. This book bases its discussion of condensed matter physics on the Schrödinger equation, considering both nuclear and electronic degrees of freedom. Particular attention is given to two types of phenomena: those, such as nuclear quantum effects, for which the Born–Oppenheimer approximation, although applicable in principle, is progressively weakened in practice, and those that cannot be applied at all, such as phenomena exhibiting non-adiabatic effects. In practical systems, the full quantum nature of condensed matter, as emphasized in this book, cannot be overlooked when performing accurate simulations or measurements of material properties. This book offers state-of-the-art quantum theoretical and experimental methods, valuable for undergraduates, graduates, researchers, and industry professionals in fields such as physics, chemistry, materials science, energy, and environmental science.\u003c\/p\u003e\n\u003ch5\u003eContents\u003c\/h5\u003e\n\u003cp\u003ePreface; 1. Overview of full quantum effects in condensed matter; 2. Full quantum effects in condensed matter physics; 3. Full quantum effects in chemistry; 4. Basic theory: electronic structure; 5. Theory for full quantum effects; 6. Experiments for full quantum effects; 7. Typical full-quantum-effect system: hydrogen; 8. Typical full-quantum-effect systems: other elements; 9. Full quantum effects in energy applications; 10. Full quantum effects in environmental applications; 11. Full Quantum effects in device applications; Appendix A; Appendix B; References; Index.\u003c\/p\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":56685238681986,"sku":"9781009563918","price":99.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9781009563918i.jpg?v=1780403575"}],"url":"https:\/\/www.cambridgebookshop.co.uk\/collections\/physics-condensed-matter.oembed","provider":"Cambridge University Press Bookshop","version":"1.0","type":"link"}