The Electron Liquid Paradigm in Condensed Matter Physics

The Electron Liquid Paradigm in Condensed Matter Physics

Author: G. Vignale

Publisher: IOS Press

Published: 2005-02-03

Total Pages: 557

ISBN-13: 1614990131

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The electron liquid paradigm is at the basis of most of our current understanding of the physical properties of electronic systems. Quite remarkably, the latter are nowadays at the intersection of the most exciting areas of science: materials science, quantum chemistry, nano-electronics, biology and quantum computation. Accordingly, its importance can hardly be overestimated. During the past 20 years the field has witnessed momentous developments, which are partly covered in this new volume. Advances in semiconductor technology have allowed the realizations of ultra-pure electron liquids whose density, unlike that of the ones spontaneously occurring in nature, can be tuned by electrical means, allowing a systematic exploration of both strongly and weakly correlated regimes. Most of these system are two- or even one-dimensional and can be coupled together in the form of multi-layers or multi-wires, opening vast observational possibilities. On the theoretical side, quantum Monte Carlo methods have allowed an essentially exact determination of the ground-state energy of the electron liquid, and have provided partial answers to the still open question of the structure of its phase diagram. Starting from the 1980s some truly revolutionary concepts have emerged, which are well represented in this volume.


Modern Condensed Matter Physics

Modern Condensed Matter Physics

Author: Steven M. Girvin

Publisher: Cambridge University Press

Published: 2019-02-28

Total Pages: 720

ISBN-13: 110713739X

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Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.


Condensed Matter Field Theory

Condensed Matter Field Theory

Author: Alexander Altland

Publisher: Cambridge University Press

Published: 2010-03-11

Total Pages: 785

ISBN-13: 0521769752

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This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.


String Theory Methods for Condensed Matter Physics

String Theory Methods for Condensed Matter Physics

Author: Horatiu Nastase

Publisher: Cambridge University Press

Published: 2017-09-21

Total Pages: 631

ISBN-13: 1316851648

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The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier–Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.


Quantum Theory of the Electron Liquid

Quantum Theory of the Electron Liquid

Author: Gabriele Giuliani

Publisher: Cambridge University Press

Published: 2008-06-19

Total Pages: 779

ISBN-13: 1139471589

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Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.


Statistical Condensed Matter Physics

Statistical Condensed Matter Physics

Author: Carlo Di Castro

Publisher: Cambridge University Press

Published: 2015-08-27

Total Pages: 549

ISBN-13: 1107039401

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An innovative and modular textbook combining established classical topics in statistical mechanics with the latest developments in condensed matter physics.


Quantum Field Theory Approach to Condensed Matter Physics

Quantum Field Theory Approach to Condensed Matter Physics

Author: Eduardo C. Marino

Publisher: Cambridge University Press

Published: 2017-09-28

Total Pages: 537

ISBN-13: 1107074118

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Independent electrons and static crystals -- Vibrating crystals -- Interacting electrons -- Interactions in action -- Functional formulation of quantum field theory -- Quantum fields in action -- Symmetries: explicit or secret -- Classical topological excitations -- Quantum topological excitations -- Duality, bosonization and generalized statistics -- Statistical transmutation -- Pseudo quantum electrodynamics -- Quantum field theory methods in condensed matter -- Metals, Fermi liquids, Mott and Anderson insulators -- The dynamics of polarons -- Polyacetylene -- The Kondo effect -- Quantum magnets in 1D: Fermionization, bosonization, Coulomb gases and 'all that' -- Quantum magnets in 2D: nonlinear sigma model, CP1 and 'all that' -- The spin-fermion system: a quantum field theory approach -- The spin glass -- Quantum field theory approach to superfluidity -- Quantum field theory approach to superconductivity -- The cuprate high-temperature superconductors -- The pnictides: iron based superconductors -- The quantum Hall effect -- Graphene -- Silicene and transition metal dichalcogenides -- Topological insulators -- Non-abelian statistics and quantum computation


Introduction to Condensed Matter Chemistry

Introduction to Condensed Matter Chemistry

Author: Jihong Yu

Publisher: Elsevier

Published: 2024-06-06

Total Pages: 462

ISBN-13: 0443161410

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Introduction to Condensed Matter Chemistry offers a general view of chemistry from the perspective of condensed matter chemistry, analyzing and contrasting chemical reactions in a more realistic setting than traditional thinking. Readers will also find discussions on the goals and major scientific questions in condensed matter chemistry and the molecular engineering of functional condensed matter. Processes and products of chemical reactions should not be determined solely by the structure and composition of these basic species but also by the complex and possibly multilevel structured physical and chemical environment, together referred to as their condensed state. Relevant matters in condensed state should be the main bodies of chemical reactions, which is applicable not only to solids and liquids but also to gas molecules as reactions among gas molecules can take place only in the presence of catalysts in specific condensed states or after their state transition under extreme reaction conditions. This book provides new insights on the liquid state chemistry, definitions, aspects, and interactions, summarizing fundamentals of main chemical reactions from a new perspective. - Helps to establish the new field of Condensed Matter Chemistry - Highlights the molecular engineering of functional condensed matter - Focuses on both liquid and solid state chemistry


Solid State Physics

Solid State Physics

Author: Henry Ehrenreich

Publisher: Elsevier

Published: 2006-08-04

Total Pages: 325

ISBN-13: 0080458580

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The article by Fulde, Thalmeier and Zwicknagl traces many of the recent developments in the field of strongly correlated many electron systems. It is very useful both as a reference and a pedagogical exposition since it places these developments into a historical context beginning with early developments in the electron theory of solids. The second article in this volume, by Bréchet and Hutchinson, concerns pattern formation in metals and alloys. Spontaneous pattern formation is the development of a regularity, either in the spatial distribution of the material in a system or in its development in time, of a lower symmetry than that of its cause. These phenomena have been of considerable interest to the non-linear physics community, in particular in fluid dynamics and in chemical reactions.- Continuation of prestigious serial - Covers cutting edge research and topics in solid state physics- Studies strongly correlated electron systems and pattern formation in metal and alloys


Quantum Field Theory of Many-Body Systems

Quantum Field Theory of Many-Body Systems

Author: Xiao-Gang Wen

Publisher: Oxford University Press

Published: 2004-06-03

Total Pages: 520

ISBN-13: 0198530943

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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 andfermions, 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, phasetransitions, 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 matterphysics.