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Book Local Approximation of the Holstein Polaron Problem

Download or read book Local Approximation of the Holstein Polaron Problem written by Jean-Marc ROBIN and published by Lulu.com. This book was released on 2009-05-02 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: We review the Dynamical Mean Field Theory of the Holstein Polaron Problem in order to compute the small polaron Green's functions. The Renormalized Perturbation Expansion (RPE) play a central role and allows to compute all the local and non local Green's functions for the electron and the small polaron, for finite or infinite size systems, with periodic or non periodic boundary conditions. We introduce a restricted basis for the phonons to study the decoupling scheme of the Green's functions in a Local Approximation via exact diagonalizations. As a bonus, we furnish all the C/C++ programs built step by step, from a pedagogical point of view.

Book Cellular Dynamical Mean Field Theory of the Holstein Polaron Problem

Download or read book Cellular Dynamical Mean Field Theory of the Holstein Polaron Problem written by Jean-Marc ROBIN and published by Lulu.com. This book was released on 2010-03-29 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show how to set up a Cellular Dynamical Mean Field Theory for the Holstein's polaron problem using the exact solution of a cluster of n sites embedded in a Weiss's field. We show that a restricted basis, that allows excitations of phonons only for n sites at a time, reproduces exactly the equations of the n-site Dynamical Mean Field Theory, and enables to check the proposed decoupling scheme of the Green's functions via Exact Numerical Diagonalizations. We introduce a real space formulation of the Cellular Dynamical Mean Field Theory that applies to any lattice with or without periodic boundary conditions and that allows to partition the lattice into different kinds of clusters.

Book Polarons in Advanced Materials

    Book Details:
  • Author : Alexandre S. Alexandrov
  • Publisher : Springer Science & Business Media
  • Release : 2008-01-11
  • ISBN : 1402063482
  • Pages : 672 pages

Download or read book Polarons in Advanced Materials written by Alexandre S. Alexandrov and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book first introduces a single polaron and describes recent achievements in analytical and numerical studies of polaron properties in different e-ph models. It then describes multi-polaron physics as well as many key physical properties of high-temperature superconductors, colossal magnetoresistance oxides, conducting polymers and molecular nanowires, which were understood with polarons and bipolarons.

Book Problems of Linear Electron  Polaron  Transport Theory in Semiconductors

Download or read book Problems of Linear Electron Polaron Transport Theory in Semiconductors written by M. I. Klinger and published by Elsevier. This book was released on 2017-05-04 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of Linear Electron (Polaron) Transport Theory in Semiconductors summarizes and discusses the development of areas in electron transport theory in semiconductors, with emphasis on the fundamental aspects of the theory and the essential physical nature of the transport processes. The book is organized into three parts. Part I focuses on some general topics in the theory of transport phenomena: the general dynamical theory of linear transport in dissipative systems (Kubo formulae) and the phenomenological theory. Part II deals with the theory of polaron transport in a crystalline semiconductor. The last part contains a critical account of electron transport in disordered systems, including amorphous substances, with allowance for polaron effects.

Book High Temperature Superconductivity

Download or read book High Temperature Superconductivity written by Victor Dmitrievich Lakhno and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-08-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: High temperature superconducting theory drew controversy after the discovery of superconductors at close to room temperatures. However, a consistent microscopic theory of HT superconductivity based on bipolaron mechanism leads to a better understanding of microscopic and macroscopic description. By presenting aspects of superconductivity now joined in a strict theory rather than separate models this work is especially useful for graduate students.

Book Polarons And Bipolarons

    Book Details:
  • Author : Alexandrov A S
  • Publisher : World Scientific
  • Release : 1996-01-23
  • ISBN : 981120943X
  • Pages : 204 pages

Download or read book Polarons And Bipolarons written by Alexandrov A S and published by World Scientific. This book was released on 1996-01-23 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of self-localized carriers on a lattice are described at a fairly basic level with an emphasis on modern developments in the theory of strong-coupling superconductivity. Large and small polarons and bipolarons provide a number of new physical phenomena both in the normal and superconducting states. The physics of high temperature superconductors is described and explained.

Book Polarons in Bulk Materials and Systems With Reduced Dimensionality

Download or read book Polarons in Bulk Materials and Systems With Reduced Dimensionality written by G. Iadonisi and published by IOS Press. This book was released on 2006-05-22 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enormous theoretical effort has been made to treat electron-phonon coupled systems, with particular emphasis on Many Body aspects for dense electron systems, taking into account continuum as well as lattice polaron effects. Treating such aspects of polaron theory has been made possible because of powerful Many Body techniques which include: Exact Diagonalization techniques, Quantum Monte Carlo approaches, Density Matrix renormalization group and Dynamical Mean Field Theory. All these advances in polaron theory needed to be accompanied by: (i) an equally important advance in material research which produced many new materials such as the high Tc cuprates, the manganites and nickelates and the fullerines; (ii) as well as significant advances in the refinement of experimental analysis and, in particular, the spectroscopic means such as Angel Resolved Photoemission Spectroscopy, X Ray Absorption Spectroscopy (EXAFS, XANES), Pulsed Neutron Diffraction measurements allowing to study the local dynamical lattice de-formations and optical spectroscopy including time resolved measurements. The scope and purpose of this publication is to review both these theoretical and experimental advances which occurred over the last few decades and to introduce the study of such systems, where both strong electron-electron correlations and large electron-phonon coupling strengths play important roles.

Book Group Band Properties of the Holstein Molecular Crystal Model

Download or read book Group Band Properties of the Holstein Molecular Crystal Model written by Aldo Humberto Romero and published by . This book was released on 1998 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stripes and Related Phenomena

Download or read book Stripes and Related Phenomena written by Antonio Bianconi and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of superconductors has been a central issue in Solid State Physics since 1987. After the discovery of superconductivity (HTSC) in doped perovskites, it was realized that the HTSC appears in an unknown complex electronic phase of c- densed matter. In the early years, all theories of HTSC were focused on the physics of a homogeneous 2D metal with large electron–electron correlations or on a 2D polaron gas. Only after 1990, a novel paradigm started to grow where this 2D metallic phase is described as an inhomogeneous metal. This was the outcome of several experimental evidences of phase separation at low doping. Since 1992, a series of conferences on phase separation were organized to allow scientists to get together to discuss the phase separation and related issues. Following the discovery by the Rome group in 1992 that “the charges move freely mainly in one direction like the water running in the grooves in the corrugated iron foil,” a new scenario to understand superconductivity in the superconductors was open. Because the charges move like rivers, the physics of these materials shifts toward the physics of novel mesoscopic heterostructures and complex electronic solids. Therefore, understanding the striped phases in the perovskites not only provides an opportunity to understand the anomalous metallic state of cuprate superconductors, but also suggests a way to design new materials of technological importance. Indeed, the stripes are becoming a field of general scientific interest.

Book Models and Phenomenology for Conventional and High Temperature Superconductivity

Download or read book Models and Phenomenology for Conventional and High Temperature Superconductivity written by Società italiana di fisica and published by IOS Press. This book was released on 1998 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for microscopic models to explain the many superconducting substances has introduced seminal concepts and techniques in many-body physics and in statistical mechanics. The complexity of the high-temperature superconductors has required a remarkable refinement of experimental techniques in order to allow a reliable characterization of the samples, and is partly the reason why so many different microscopic models have so far been proposed. This Enrico Fermi Course on Superconductivity was provided an up-to date presentation of selected experimental and theoretical theories on the (so called) conventional superconductivity and on the high temperature superconductivity. The attention was focused on those reliable measurements which are expected to provide the theory with key constraints, viz: Raman and Infrared Spectroscopy, Nuclear Spin Resonance, Angular Resolved Photoemission Spectroscopy, transport measurements, Josephson effect. The lectures devoted to the overview of the BCS theory and to the discussion of minimal models and of the crossover from BCS to Bose-Einstein condensation may be particularly useful. The remaining part of the program was shared between phonon and non-phonon based mechanisms. On the one hand, special emphasis has been devoted to the breakdown of the Migdal theorem and to polaronic theories. On the other, the book contains an overview of strongly correlated electron theories, including magnetic interactions. A survey of the physics of vortices completes the theoretical part of the lectures.

Book Advances in Polaron Physics

    Book Details:
  • Author : Alexandre S. Alexandrov
  • Publisher : Springer Science & Business Media
  • Release : 2009-10-03
  • ISBN : 3642018963
  • Pages : 171 pages

Download or read book Advances in Polaron Physics written by Alexandre S. Alexandrov and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent developments in the field of polarons, starting with the basics and covering a number of active directions of research. It integrates theory and experimental results.

Book Polarons and Bipolarons

    Book Details:
  • Author : Ashok Chatterjee
  • Publisher : CRC Press
  • Release : 2018-10-09
  • ISBN : 1351644920
  • Pages : 348 pages

Download or read book Polarons and Bipolarons written by Ashok Chatterjee and published by CRC Press. This book was released on 2018-10-09 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive review of the subject of polaron and a thorough account of the sophisticated theories of the polaron. It explains the concept of the polaron physics in as simple a manner as possible and presents the theoretical techniques and mathematical derivations in great detail. Anybody who follows this book will develop a solid command over the subject both conceptually and technically and will be in a position to contribute to this field.

Book Focus on Nanotube Research

Download or read book Focus on Nanotube Research written by Delores A. Martin and published by Nova Publishers. This book was released on 2006 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel way of arranging the atomic structure of a substance so that it can be made thousands of times stronger than in its native state. Often used to make duranium a further ten thousand times stronger. Thus, a lump of duranium can be made over ten million times stronger than the equivalent block of titanium. A one dimensional fullerene (a convex cage of atoms with only hexagonal and/ or pentagonal faces) with a cylindrical shape. Carbon nanotubes discovered in 1991 by Sumio Iijima resemble rolled up graphite, although they can not really be made that way. Depending on the direction that the tubes appear to have been rolled (quantified by the 'chiral vector'), they are known to act as conductors or semiconductors. Nanotubes are a proving to be useful as molecular components for nanotechnology. This book assembles and presents new and important research in the field.

Book Studies of High Temperature Superconductors

Download or read book Studies of High Temperature Superconductors written by A. V. Narlikar and published by Nova Publishers. This book was released on 2006 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Golden Jubilee volume in the world's foremost series on superconductivity covers wide-ranging topics capturing the current excitement in the field. The broad areas include the advancement of high Tc theory, materials depicting unusual characteristics, materials' processing and defect structures for improved properties, their electromagnetic response, flux pinning, Josephson junctions and devices, and large scale applications.

Book Charge Transport in Disordered Solids with Applications in Electronics

Download or read book Charge Transport in Disordered Solids with Applications in Electronics written by Sergei Baranovski and published by John Wiley & Sons. This book was released on 2006-08-14 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of charge conduction in disordered materials is a rapidly evolving area owing to current and potential applications of these materials in various electronic devices This text aims to cover conduction in disordered solids from fundamental physical principles and theories, through practical material development with an emphasis on applications in all areas of electronic materials. International group of contributors Presents basic physical concepts developed in this field in recent years in a uniform manner Brings up-to-date, in a one-stop source, a key evolving area in the field of electronic materials

Book Journal of Physics

Download or read book Journal of Physics written by and published by . This book was released on 1995 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Physics of Superconductors

Download or read book The Physics of Superconductors written by Karl-Heinz Bennemann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a comprehensive two-volume treatise on superconductivity that represents the first such publication since the earlier work by R. Parks. It systematically reviews the basic physics and recent advances in the field. Leading researchers describe the state of the art in conventional phonon-induced superconductivity, high-Tc superconductivity, and novel superconductivity. After an introduction and historical overview, the leaders in the special fields of research give a comprehensive survey of the basics and the state of the art in chapters covering the entire field of superconductivity, including conventional and unconventional superconductors. Important new results are reported in a manner intended to stimulate further research. Numerous illustrations, diagrams and tables make this book especially useful as a reference work for students, teachers, and researchers. The second volume treats novel superconductors.