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Author : Hyun Jung Lee
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (188 download)
Download or read book Numerical Renormalization Group Calculations for Impurity Quantum Phase Transitions written by Hyun Jung Lee and published by . This book was released on 2007 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Renormalization Group Calculations for Impurity Quantum Phase Transitions written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis presents the results of the Numerical Renormalization Group (NRG) approach to three impurity models centered on the issues of impurity quantum phase transitions. The soft-gap Anderson model is one of the most well-established cases in the contexts of impurity quantum phase transitions and various analytic and numerical methods examined the physical properties of the quantum critical phase as well as the stable phases on both sides of the transition point. Our contribution is made to the former case by analyzing the NRG many-particle spectrum of critical fixed points, with which we can see how the impurity contribution of the thermodynamic quantities have fractional degrees of freedom of charge and spin. The quantum phase transition of the spin-boson model has a long history but most of achievements were reached for the ohmic dissipation. The new development of the NRG treating the bosonic degrees of freedom broadened the range of the parameter space to include the sub-ohmic case and, as a result, second order phase transitions were found for the bath exponent $0
Author : Nigel Goldenfeld
Publisher : CRC Press
ISBN 13 : 0429973128
Total Pages : 313 pages
Book Rating : 4.4/5 (299 download)
Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.
Author : Jean Zinn-Justin
Publisher : Oxford University Press on Demand
ISBN 13 : 0199227195
Total Pages : 465 pages
Book Rating : 4.1/5 (992 download)
Download or read book Phase Transitions and Renormalization Group written by Jean Zinn-Justin and published by Oxford University Press on Demand. This book was released on 2007-07-05 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: No further information has been provided for this title.
Author : Lincoln Carr
Publisher : CRC Press
ISBN 13 : 1439802610
Total Pages : 756 pages
Book Rating : 4.4/5 (398 download)
Download or read book Understanding Quantum Phase Transitions written by Lincoln Carr and published by CRC Press. This book was released on 2010-11-02 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
Author : Zubair Iftikhar
Publisher : Springer
ISBN 13 : 3319946854
Total Pages : 147 pages
Book Rating : 4.3/5 (199 download)
Download or read book Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits written by Zubair Iftikhar and published by Springer. This book was released on 2018-07-02 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis explores several fundamental topics in mesoscopic circuitries that incorporate few electronic conduction channels. It reports a series of long-awaited experiments that establish a new state of the art. The first experiments address the quantized character of charge in circuits. We demonstrate the charge quantization criterion, observe the predicted charge quantization scaling and a crossover toward a universal behavior as temperature is increased. The second set of experiments addresses the unconventional quantum critical physics that arises in the multichannel Kondo model. We observe the predicted universal Kondo fixed points and validate the numerical renormalization group scaling curves. Away from the quantum critical point, we obtain a direct visualization of the development of a second-order quantum phase transition.
Author : Christian Kolf
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (18 download)
Download or read book Numerical Renormalization Group Studies in Complex Quantum Impurity Systems written by Christian Kolf and published by . This book was released on 2006 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Subir Sachdev
Publisher : Cambridge University Press
ISBN 13 : 9780521004541
Total Pages : 374 pages
Book Rating : 4.0/5 (45 download)
Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2001-04-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Author : Kenny B. Lipkowitz
Publisher : John Wiley & Sons
ISBN 13 : 0470399538
Total Pages : 570 pages
Book Rating : 4.4/5 (73 download)
Download or read book Reviews in Computational Chemistry, Volume 26 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2008-11-19 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational chemistry is increasingly used in conjunction with organic, inorganic, medicinal, biological, physical, and analytical chemistry, biotechnology, materials science, and chemical physics. This series is essential in keeping those individuals involved in these fields abreast of recent developments in computational chemistry.
Author : Heidi Reinholz
Publisher : World Scientific
ISBN 13 : 9812709592
Total Pages : 571 pages
Book Rating : 4.8/5 (127 download)
Download or read book Condensed Matter Theories written by Heidi Reinholz and published by World Scientific. This book was released on 2007 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume. Sample Chapter(s). Part A: Fermi Liquids: Pressure Comparison Between the Spherical Cellular Model and the Thomas-Fermi Model (290 KB). Contents: Condensation of Helium in Wedges (E S Hernindez et al.); Pairing in Asymmetrical Fermi Systems (K F Quader & R Liao); Quantum Boltzmann Liquids (K A Gernoth et al.); Fractionally Charged Excitations on Frustrated Lattices (E Runge et al.); On the de HaasOCoVan Alphen Oscillation in 2D (S Fujita & D L Morabito); The Concept of Correlated Density and Its Application (K Morawetz et al.); Pairing of Strongly Correlated Nucleons (W H Dickhoff); KohnOCoSham Calculations Combined with an Average Pair-Density Functional Theory (P Gori-Giorgi & A Savin); Maxent Approach to Qubits (C M Sarris et al.); Ergodic Condition and Magnetic Models (M H Lee); and other papers. Readership: Physicists, chemists and applied mathematicians interested in advanced theories of condensed matter and their applications."
Author : Johannes Stengele
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book Numerical Renormalization Group Based Simulations of Quantum Impurity Systems written by Johannes Stengele and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerd Ropke
Publisher : World Scientific
ISBN 13 : 9814474517
Total Pages : 571 pages
Book Rating : 4.8/5 (144 download)
Download or read book Condensed Matter Theories, Volume 22 - Proceedings Of The International Workshop written by Gerd Ropke and published by World Scientific. This book was released on 2007-09-05 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume.
Author : Michael Sindel
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (254 download)
Download or read book Numerical Renormalization Group Studies of Quantum Impurity Models in the Strong Coupling Limit written by Michael Sindel and published by . This book was released on 2004 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Roosen
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (796 download)
Download or read book A Numerical Renormalization Group Approach to Dissipative Quantum Impurity Systems written by David Roosen and published by . This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Joseph Keller
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (91 download)
Download or read book Emergent Symmetries in Quantum Impurity Experiments written by Andrew Joseph Keller and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In systems involving a continuum of energy scales, one can imagine that under renormalization an effective Hamiltonian valid at low energies could possess a symmetry that the bare Hamiltonian does not. We are interested in the extent to which measurements of a physical system may reflect such emergent symmetries. Localized spins coupled to reservoirs of electrons are a natural domain to study these phenomena. Such "quantum impurity" systems can be realized using quantum dots. We report transport measurements of two lithographically patterned quantum dot systems in GaAs/AlGaAs heterostructures: 1. In a capacitively-coupled double quantum dot, gate voltage can be used to tune the system so that it is equally favorable for either dot to hold one electron. The effective Kondo Hamiltonian valid at low energies has been predicted to have an emergent SU(4)-symmetric exchange interaction based on the spin and orbital degrees of freedom. We provide evidence for emergent SU(4) symmetry by carefully comparing temperature-dependent conductance with numerical renormalization group calculations. In our device, conductance may be measured through each dot individually, uniquely enabling orbital state-resolved spectroscopy of the Kondo state. 2. A quantum dot tunnel-coupled to a metallic grain can host a non-Fermi liquid two-channel Kondo state, where a spin-1/2 impurity is exchange-coupled to two independent electron reservoirs. It occurs at the critical point of a second-order quantum phase transition, which surprisingly has exact theoretical descriptions both at and away from the critical point, even at finite temperature. We confirm transport signatures of quantum criticality as first reported by Potok, et al. (Nature 446, 167 (2007)), and then go further by quantitatively validating a universal theory for the crossover to a Fermi liquid. The universality of this crossover in the presence of arbitrary symmetry-breaking perturbations is a consequence of emergent symmetry at the non-Fermi liquid fixed point.
Author : A S Shumovsky
Publisher : World Scientific
ISBN 13 : 9814507660
Total Pages : 253 pages
Book Rating : 4.8/5 (145 download)
Download or read book Lectures On Phase Transitions written by A S Shumovsky and published by World Scientific. This book was released on 1990-11-30 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the problem of phase transitions, emphasizing the generality and universality of the methods and models used. The course is basically concentrated on the problems of vacuum degeneration in macroscopic systems and a fundamental concept of quasiaverages by Bogolubov playing a special role in the theory of phase transitions and critical phenomena. An analysis of the connection between phase transition and spontaneous symmetry breaking in a macroscopic system allows a unique description of both first- and second-order phase transitions.The unique features of this book are:(i) a unique approach of describing first — as well as second-order phase transitions, based on the Bogolubov concept of quasi-averages.(ii) a detailed presentation of the material and at the same time a review of modern problems.(iii) a general character of developed ideas that could be applied to various particular systems of condensed matter physics, nuclear physics and high-energy physics.
Author : Yoshio Kuramoto
Publisher : OUP Oxford
ISBN 13 : 0191545465
Total Pages : 252 pages
Book Rating : 4.1/5 (915 download)
Download or read book Dynamics of Heavy Electrons written by Yoshio Kuramoto and published by OUP Oxford. This book was released on 2000-01-27 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heavy electrons are found among a number of lanthanide and actinide compounds, and are characterized by a large effective mass which becomes comparable to the mass of a muon. Heavy electrons exhibit rich phenomena such as unconventional superconductivity, weak anti- ferromagnetism, or pseudo meta-magnetism. This book is intended not only as a monograph, but can readily serve as an advanced textbook on theoretical and experimental physics of strongly correlated electrons. Over the last two decades, heavy electrons have been the focus of very active experimental and theoretical studies. Many established ideas and techniques have been insufficient to describe and understand heavy electrons and their impact properly. On the theoretical side, quantum fluctuations make mean-field theories difficult to handle, while on the experimental side, extreme conditions such as strong magnetic fields and pressure at ultra-low temperatures may be required. Heavy electron systems as described in this book offer a case study for applying and testing most of the major tools in theoretical and experimental condensed matter physics. Graduate students and researchers working on strongly correlated condensed matter systems will find in this book a comprehensive introduction and many examples how conventional concepts of solids may work or not work, and how they can be refined and sharpened in the context of heavy electron systems.
