Download or read book Bosonization of Interacting Fermions in Arbitrary Dimensions written by Peter Kopietz and published by Springer Science & Business Media. This book was released on 1997-04-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.

Download or read book Composite Fermions written by Jainendra K. Jain and published by Cambridge University Press. This book was released on 2007-03-29 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.

Download or read book Composite Fermions written by O. Heinonen and published by World Scientific. This book was released on 1998 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most exciting recent developments to have emerged from the quantum Hall effect is the subject of composite fermions. This important volume gives a self-contained, comprehensive description of the subject, including fundamentals, more advanced theoretical work, and results from experimental observations of composite fermions.

Download or read book Lattice Fermions and Structure of the Vacuum written by Valya Mitrjushkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.

Download or read book Fermions and Anomalies in Quantum Field Theories written by Loriano Bonora and published by Springer Nature. This book was released on 2023-05-04 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.

Download or read book Mass Dimension One Fermions written by Dharam Ahluwalia and published by Cambridge University Press. This book was released on 2019-07-04 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an overview of the eigenspinors of the charge conjugation operator and mass one dimension fermions.

Download or read book The Kondo Problem to Heavy Fermions written by Alexander Cyril Hewson and published by Cambridge University Press. This book was released on 1997-04-28 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behaviour of magnetic impurities in metals has posed problems to challenge the condensed matter theorist over the past 30 years. This book deals with the concepts and techniques which have been developed to meet this challenge, and with their application to the interpretation of experiments. This book will be of interest to condensed matter physicists, particularly those interested in strong correlation problems. The detailed discussions of advanced many-body techniques should make it of interest to theoretical physicists in general.

Download or read book Application of Braid Groups in 2D Hall System Physics written by Janusz Jacak and published by World Scientific. This book was released on 2012-07-13 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present treatise progress in topological approach to Hall system physics is reported, including recent achievements in graphene. The homotopy methods of braid groups turn out to be of particular convenience in order to grasp peculiarity of 2D charged systems upon magnetic field resulting in Laughlin correlations. The real progress in understanding of structure and role of composite fermions in Hall system is provided. The crucial significance of carrier mobility apart from interaction in creation of the fractional quantum Hall effect (FQHE) is described and supported by recent graphene experiments. Recent progress in FQHE field including topological insulators and optical lattices was reviewed and commented in terms of braid group approach. The braid group methods are presented from more general point of view including proposition of pure braid group application. Contents:IntroductionElements of Hall System Physics in 2D SpacesTopological Methods for the Description of Many Particle Systems at Various ManifoldsCyclotron Braids for Multi-Particle-Charged 2D Systems in a Strong Magnetic FieldRecent Progress in FQHE FieldSummaryComments and Supplements Readership: Advanced undergraduate and the graduate students of advanced quantum mechanics and topological methods, application of algebraic topology. Keywords:Braid Groups;Topology Methods In Physics;Fractional Quantum Hall Effect;Composite Fermions;GrapheneKey Features:The first explanation of the origin of Laughlin correlations in 2D charged systems with sufficiently strong magnetic field. Formal, self-consistent mathematical model of originally defined cyclotron braid group is given in order to fully describe fundaments of fractional quantum Hall effect, retrieve Laughlin correlations and point physical conditions which stand behind mysterious composite fermion structureExplanation of the structure of composite fermions. The monograph describes a complete novel implementation of composite fermion based on first principles, without involving any artificial constructions (with flux-tubes or vortices). This approach can lead to some corrections of numerical results in energy minimalization made upon the traditional formulation of composite fermion modelIdentification of relations of FQHE in cyclotron braid terms with newly developing area of topological insulators and optical lattices. Description, in terms of cyclotron braid subgroups, of the nature of yet unexplained novel experiments in Hall 2D systems including graphene is given

Download or read book Strong Fermion Interactions in Fractional Quantum Hall States written by Shashikant Mulay and published by Springer. This book was released on 2018-10-26 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.

Download or read book Composite Fermions written by Jainendra K. Jain and published by Cambridge University Press. This book was released on 2009-12-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.

Download or read book Pairing In Fermionic Systems Basic Concepts And Modern Applications written by Armen Sedrakian and published by World Scientific. This book was released on 2006-11-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cooper pairing of fermions is a profound phenomenon that has become very important in many different areas of physics in the recent past. This book brings together, for the first time, experts from various fields involving Cooper pairing, at the level of BCS theory and beyond, including the study of novel states of matter such as ultracold atomic gases, nuclear systems at the extreme, and quark matter with application to neutron stars. Cross-disciplinary in nature, the book will be of interest to physicists in many different specialties, including condensed matter, nuclear, high-energy, and astrophysics. The emphasis is on novel issues beyond ordinary BCS theory such as pairing in asymmetric systems, the polarization effect, and higher spin pairing. These topics are rarely treated at the textbook level and all of them are the subjects of intensive ongoing research. The book also considers various new techniques widely used in current research that differ significantly from the conventional condensed matter approaches described in the standard literature.

Download or read book Proceedings of the Yamada Conference XVIII on Superconductivity in Highly Correlated Fermion Systems written by M. Tachiki and published by Elsevier. This book was released on 2013-09-24 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconductivity in Highly Correlated Fermion Systems documents the proceedings of the Yamada Conference XVIII on Superconductivity in Highly Correlated Fermion Systems held in Sendai, Japan, from August 31 to September 3, 1987. This book compiles selected papers on the experimental and theoretical advances in the study of superconductivity. The topics include the superconductivity and magnetism in heavy-electron materials, magneto-resistance of heavy-fermion compounds, and magnetic fluctuations and order in exotic superconductors. The fabrication and properties of thin superconducting oxide films, bipolaron models of superconductors, superconducting properties of superlattices, and flux quantization on quasi-crystalline networks are also covered. This publication is recommended for physicists and students researching on the superconductivity in highly correlated fermion systems.

Download or read book The Interacting Boson Fermion Model written by F. Iachello and published by Cambridge University Press. This book was released on 1991-08-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interacting boson-fermion model has become in recent years the standard model for the description of atomic nuclei with an odd number of protons and/or neutrons. This book describes the mathematical framework on which the interacting boson-fermion model is built and presents applications to a variety of situations encountered in nuclei. The book addresses both the analytical and the numerical aspects of the problem. The analytical aspect requires the introduction of rather complex group theoretic methods, including the use of graded (or super) Lie algebras. The first (and so far only) example of supersymmetry occurring in nature is also discussed. The book is the first comprehensive treatment of the subject and will appeal to both theoretical and experimental physicists. The large number of explicit formulas for level energies, electromagnetic transition rates and intensities of transfer reactions presented in the book provide a simple but detailed way to analyse experimental data. This book can also be used as a textbook for advanced graduate students.

Download or read book Fermion Algorithms Proceedings Of The Workshop written by Frithjof Karsch and published by World Scientific. This book was released on 1991-11-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel Monte Carlo Algorithms for Fermionic Systems are badly needed in high energy and solid state physics. At this workshop the newest developments in this direction were presented, in particular those concerning multi-grid techniques, cluster algorithms and massively parallel implementations.

Download or read book The Landscape of Free Fermionic Gauge Models written by Douglas G. Moore and published by Springer. This book was released on 2016-02-03 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models. In their purest form, these models are maximally supersymmetric (N = 4), and thus only contain superpartners in their matter sector. This feature makes their systematic construction particularly efficient, and they are thus useful in their simplicity. The thesis first provides a brisk introduction to heterotic strings and the spin-structure construction of free fermionic models. Three systematic surveys are then presented, and it is conjectured that these surveys are exhaustive modulo redundancies. Finally, the author presents a collection of metaheuristic algorithms for searching the landscape for models with a user-specified spectrum of phenomenological properties, e.g. gauge group and number of spacetime supersymmetries. Such algorithms provide the groundwork for extended generic free fermionic surveys.

Download or read book Strongly Correlated Fermions and Bosons in Low Dimensional Disordered Systems written by Igor V. Lerner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.

Download or read book Simple Models of Many Fermion Systems written by Joachim Alexander Maruhn and published by Springer Science & Business Media. This book was released on 2010-05-17 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term “ nite Fermi systems” usually refers to systems where the fermionic nature of the constituents is of dominating importance but the nite spatial extent also cannot be ignored. Historically the prominent examples were atoms, molecules, and nuclei. These should be seen in contrast to solid-state systems, where an in nite extent is usually a good approximation. Recently, new and different types of nite Fermi systems have become important, most noticeably metallic clusters, quantum dots, fermion traps, and compact stars. The theoretical description of nite Fermi systems has a long tradition and dev- oped over decades from most simple models to highly elaborate methods of ma- body theory. In fact, nite Fermi systems are the most demanding ground for theory as one often does not have any symmetry to simplify classi cation and as a possibly large but always nite particle number requires to take into account all particles. In spite of the practical complexity, most methods rely on simple and basic schemes which can be well understood in simple test cases. We therefore felt it a timely undertaking to offer a comprehensive view of the underlying theoretical ideas and techniques used for the description of such s- tems across physical disciplines. The book demonstrates how theoretical can be successively re ned from the Fermi gas via external potential and mean- eld m- els to various techniques for dealing with residual interactions, while following the universality of such concepts like shells and magic numbers across the application elds.