Quantum Monte Carlo Methods In Condensed Matter Physics
eBook - PDF

Quantum Monte Carlo Methods In Condensed Matter Physics

  1. 376 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Quantum Monte Carlo Methods In Condensed Matter Physics

About this book

This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-Tc superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful.

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Yes, you can access Quantum Monte Carlo Methods In Condensed Matter Physics by Masuo Suzuki in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Astronomy & Astrophysics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. CONTENTS
  2. PREFACE
  3. GENERAL DECOMPOSITION THEORY OF EXPONENTIAL OPERATORS
  4. QUANTUM MONTE CARLO AND RELATED METHODS— RECENT DEVELOPMENTS —
  5. MONTE CARLO RENORMALIZATION GROUP STUDY OF THE D=l XXZ MODEL
  6. OVERCOMING CRITICAL SLOWING DOWN IN QUANTUM MONTE CARLO SIMULATIONS
  7. QUANTUM MANYBODY SPIN SYSTEMS IN RANDOM FIELDS AND ANKOTROPIES
  8. INHOMOGENEITY EFFECTS IN QUANTUM SPIN SYSTEMS
  9. THE QUANTUM TRANSFER MATRIX AND ITS APPLICATION TO QUANTUM SPIN CHAINS
  10. TRANSFER MATRICES IN QUANTUM MANY-BODY SYSTEMS
  11. MONTE CARLO CALCULATIONS OF ELEMENTARY EXCITATION
  12. THE DECOUPLED CELL METHOD OF QUANTUM MONTE CARLO CALCULATION
  13. Decoupled Cell Monte Carlo Study of the Critical Properties of the Spin-1/2 Ferromagnetic Heisenberg Model in Three Dimensions
  14. VARIATIONAL MONTE CARLO STUDIES OF CORRELATED ELECTRONS
  15. QUANTUM MONTE CARLO SIMULATION OF MULTIBAND FERMION SYSTEMS AND ITS APPLICATION TO SUPERCONDUCTIVITY
  16. QUANTUM MONTE CARLO IN THE INFINITE DIMENSIONAL LIMIT
  17. ASPECTS OF THE SIGN PROBLEM
  18. QUANTUM SIMULATIONS OF THE DEGENERATE SINGLE-IMPURITY ANDERSON MODEL
  19. QUANTUM MONTE CAR^O SIMULATION BY AUXILIARY FIELDS
  20. GROUND-STATE PROJECTION USING AUXILIARY FIELDS
  21. FERMION SIMULATIONS OF CORRELATED SYSTEMS
  22. DIRTY BOSONS IN 2D: PHASES AND PHASE TRANSITIONS
  23. PATH-INTEGRAL QUANTUM MONTE CARLO STUDIES OF THE STATIC AND TIME-DEPENDENT THERMODYNAMICS OF THE VIBRATIONAL PROPERTIES OF CRYSTALS
  24. RELAXATION OF QUANTUM SYSTEMS IN FLUCTUATING MEDIA