Luttinger Model

Luttinger Model PDF Author: Vieri Mastropietro
Publisher: World Scientific
ISBN: 9814520721
Category : Science
Languages : en
Pages : 312

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Book Description
The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.

Luttinger Model

Luttinger Model PDF Author: Vieri Mastropietro
Publisher: World Scientific
ISBN: 9814520721
Category : Science
Languages : en
Pages : 312

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Book Description
The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.

Superconductivity: A New Approach Based On The Bethe-salpeter Equation In The Mean-field Approximation

Superconductivity: A New Approach Based On The Bethe-salpeter Equation In The Mean-field Approximation PDF Author: G P Malik
Publisher: World Scientific
ISBN: 9814733091
Category : Science
Languages : en
Pages : 248

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Book Description
Given the Debye temperature of an elemental superconductor (SC) and its Tc, BCS theory enables one to predict the value of its gap Δ0 at T = 0, or vice versa. This monograph shows that non-elemental SCs can be similarly dealt with via the generalized BCS equations (GBCSEs) which, given any two parameters of the set {Tc, Δ10, Δ20 > Δ10}, enable one to predict the third. Also given herein are new equations for the critical magnetic field and critical current density of an elemental and a non-elemental SC — equations that are derived directly from those that govern pairing in them.The monograph includes topics that are usually not covered in any one text on superconductivity, e.g., BCS-BEC crossover physics, the long-standing puzzle posed by SrTiO3, and heavy-fermion superconductors — all of which are still imperfectly understood and therefore continue to avidly engage theoreticians. It suggests that addressing the Tcs, Δs and other properties (e.g., number densities of charge carriers) of high-Tc SCs via GBCSEs incorporating chemical potential may lead to tangible clues about raising their Tcs. The final chapter in this monograph deals with solar emission lines and quarkonium spectra because of a feature common between them and superconductivity: existence of a bound state in a medium at finite temperature. This is a problem on which the author has worked for more than 25 years. The treatment in the text is elementary — even those who have only a cursory familiarity with Feynman diagrams should be able to follow it without much difficulty.

Introduction to Topological Quantum Matter & Quantum Computation

Introduction to Topological Quantum Matter & Quantum Computation PDF Author: Tudor D. Stanescu
Publisher: CRC Press
ISBN: 1040041981
Category : Science
Languages : en
Pages : 489

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Book Description
What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid-state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation? Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture and emphasizing two major new paradigms in condensed matter physics – quantum topology and quantum information – this book is ideal for graduate students and researchers entering this field, as it allows for the fruitful transfer of ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and unveils the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the toric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems. Topological quantum computation is also presented using a broad perspective, which includes elements of classical and quantum information theory, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and key ideas underlying quantum computation with anyons. This new edition has been updated throughout, with exciting new discussions on crystalline topological phases, including higher-order topological insulators; gapless topological phases, including Weyl semimetals; periodically-driven topological insulators; and a discussion of axion electrodynamics in topological materials. Key Features: · Provides an accessible introduction to this exciting, cross-disciplinary area of research. · Fully updated throughout with new content on the latest result from the field. · Authored by an authority on the subject. Tudor Stanescu is a professor of Condensed Matter Theory at West Virginia University, USA. He received a B.S. in Physics from the University of Bucharest, Romania, in 1994 and a Ph.D. in Theoretical Physics from the University of Illinois at Urbana Champaign in 2002. He was a Postdoctoral Fellow at Rutgers University and at the University of Maryland from 2003 to 2009. He joined the Department of Physics and Astronomy at West Virginia University in Fall 2009. Prof. Stanescu’s research interests encompass a variety of topics in theoretical condensed matter physics including topological insulators and superconductors, topological quantum computation, ultra-cold atom systems in optical lattices, and strongly correlated materials, such as, for example, cuprate high-temperature superconductors. His research uses a combination of analytical and numerical tools and focuses on understanding the emergence of exotic states of matter in solid state and cold atom structures, for example, topological superconducting phases that host Majorana zero modes, and on investigating the possibilities of exploiting these states as physical platforms for quantum computation.

Coulomb and Interference Effects in Small Electronic Structures

Coulomb and Interference Effects in Small Electronic Structures PDF Author: D. C. Glattli
Publisher: Atlantica Séguier Frontières
ISBN: 9782863321591
Category : Cosmology
Languages : en
Pages : 462

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Book Description


Luttinger Model: The First 50 Years And Some New Directions

Luttinger Model: The First 50 Years And Some New Directions PDF Author: Daniel C Mattis
Publisher: World Scientific
ISBN: 981452073X
Category : Science
Languages : en
Pages : 312

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Book Description
The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics.Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.

Thermodynamics in the Quantum Regime

Thermodynamics in the Quantum Regime PDF Author: Felix Binder
Publisher: Springer
ISBN: 3319990462
Category : Science
Languages : en
Pages : 985

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Book Description
Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts. Blending together elements from open quantum systems, statistical mechanics, quantum many-body physics, and quantum information theory, it pinpoints thermodynamic advantages and barriers emerging from genuinely quantum properties such as quantum coherence and correlations. Owing to recent experimental efforts, the field is moving quickly towards practical applications, such as nano-scale heat devices, or thermodynamically optimised protocols for emergent quantum technologies. Starting from the basics, the present volume reviews some of the most recent developments, as well as some of the most important open problems in quantum thermodynamics. The self-contained chapters provide concise and topical introductions to researchers who are new to the field. Experts will find them useful as a reference for the current state-of-the-art. In six sections the book covers topics such as quantum heat engines and refrigerators, fluctuation theorems, the emergence of thermodynamic equilibrium, thermodynamics of strongly coupled systems, as well as various information theoretic approaches including Landauer's principle and thermal operations. It concludes with a section dedicated to recent quantum thermodynamics experiments and experimental prospects on a variety of platforms ranging from cold atoms to photonic systems, and NV centres.

Fundamentals of the Physics of Solids

Fundamentals of the Physics of Solids PDF Author: Jenö Sólyom
Publisher: Springer Science & Business Media
ISBN: 3642045189
Category : Science
Languages : en
Pages : 764

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Book Description
This book is the third of a three-volume series written by the same author. It aims to deliver a comprehensive and self-contained account of the fundamentals of the physics of solids. In the presentation of the properties and experimentally observed phenomena together with the basic concepts and theoretical methods, it goes far beyond most classic texts. The essential features of various experimental techniques are also explained. This volume is devoted mostly to the discussion of the effects of electron—electron interaction beyond the one-electron approximation. The density-functional theory is introduced to account for correlation effects. The response to external perturbations is discussed in the framework of linear response theory. Landau’s Fermi-liquid theory is followed by the theory of Luttinger liquids. The subsequent chapters are devoted to electronic phases with broken symmetry: to itinerant magnetism, to spin- and charge-density waves and their realizations in quasi-one-dimensional materials, as well as to the microscopic theory of superconductivity. An overview is given of the physics of strongly correlated systems. The last chapter covers selected problems in the physics of disordered systems.

Introduction to Unconventional Superconductivity

Introduction to Unconventional Superconductivity PDF Author: V.P. Mineev
Publisher: CRC Press
ISBN: 9789056992095
Category : Science
Languages : en
Pages : 204

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Book Description
Unconventional superconductivity (or superconductivity with a nontrivial Cooper pairing) is believed to exist in many heavy-fermion materials as well as in high temperature superconductors, and is a subject of great theoretical and experimental interest. The remarkable progress achieved in this field has not been reflected in published monographs and textbooks, and there is a gap between current research and the standard education of solid state physicists in the theory of superconductivity. This book is intended to meet this information need and includes the authors' original results.

Statistical Mechanics Made Simple (2nd Edition)

Statistical Mechanics Made Simple (2nd Edition) PDF Author: Daniel C Mattis
Publisher: World Scientific Publishing Company
ISBN: 9814365386
Category : Science
Languages : en
Pages : 358

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Book Description
This second edition extends and improves on the first, already an acclaimed and original treatment of statistical concepts insofar as they impact theoretical physics and form the basis of modern thermodynamics. This book illustrates through myriad examples the principles and logic used in extending the simple laws of idealized Newtonian physics and quantum physics into the real world of noise and thermal fluctuations.In response to the many helpful comments by users of the first edition, important features have been added in this second, new and revised edition. These additions allow a more coherent picture of thermal physics to emerge. Benefiting from the expertise of the new co-author, the present edition includes a detailed exposition — occupying two separate chapters — of the renormalization group and Monte-Carlo numerical techniques, and of their applications to the study of phase transitions. Additional figures have been included throughout, as have new problems. A new Appendix presents fully worked-out solutions to representative problems; these illustrate various methodologies that are peculiar to physics at finite temperatures, that is, to statistical physics.This new edition incorporates important aspects of many-body theory and of phase transitions. It should better serve the contemporary student, while offering to the instructor a wider selection of topics from which to craft lectures on topics ranging from thermodynamics and random matrices to thermodynamic Green functions and critical exponents, from the propagation of sound in solids and fluids to the nature of quasiparticles in quantum liquids and in transfer matrices.

The Coffee Book

The Coffee Book PDF Author: Nina Luttinger
Publisher: New Press, The
ISBN: 1595587241
Category : Business & Economics
Languages : en
Pages : 269

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Book Description
A history of coffee from the sixth century to Starbucks that’s “good to the last sentence” (Las Cruces Sun News). One of Library Journal’s “Best Business Books” This updated edition of The Coffee Book is jammed full of facts, figures, cartoons, and commentary covering coffee from its first use in Ethiopia in the sixth century to the rise of Starbucks and the emergence of Fair Trade coffee in the twenty-first. The book explores the process of cultivation, harvesting, and roasting from bean to cup; surveys the social history of café society from the first coffeehouses in Constantinople to beatnik havens in Berkeley and Greenwich Village; and tells the dramatic tale of high-stakes international trade and speculation for a product that can make or break entire national economies. It also examines the industry’s major players, revealing the damage that’s been done to farmers, laborers, and the environment by mass cultivation—and explores the growing “conscious coffee” market. “Drawing on sources ranging from Molière and beatnik cartoonists to the Food and Agriculture Organization, the authors describe the beverage’s long and colorful rise to ubiquity.” —The Economist “Most stimulating.” —The Baltimore Sun