Computational Approaches in Condensed-Matter Physics de Seiji Miyashita

Computational Approaches in Condensed-Matter Physics

Seiji Miyashita

Masatoshi Imada

Hajime Takayama

Interacting many-body systems are the main subjects ofresearch in theoretical condensed matter physics, and theyare the source of both the interest and the difficulty inthis field. In order to understand the macroscopicproperties of matter in terms of macroscopic knowledge, manyanalytic and approximate methods have been introduced. Thecontributions to this proceedings volume focus on the mostrecent developments of computational approaches in condensedmatter physics. Monte Carlo methods and molecular dynamicssimulations applied to strongly correlated classical andquantum systems such as electron systems, quantum spinsystems, spin glassss, coupled map systems, polymers andother random and comlex systems are reviewed. Comprisingeasy to follow introductions to each field covered and alsomore specialized contributions,this proceedings volumeexplains why computational approaches are necessary and howdifferent fields are related to each other.

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Cuprins

I First Principles Calculations.- First Principles Methods for Correlated Ground States of Solids.- Computational Physics Approach to Scanning Tunneling Microscopy and Spectroscopy.- Electronic Structures of Fullerenes and Fullerides.- Structure Optimization and Dynamics of Fine Particles in LCAO Methods.- Electronic Structures of Hetero-Crystalline Semiconductor Superlattices.- An Application of the Car-Parrinello Method to a Study of Alkali-Metal Adsorbed Si(001) Surface.- Ab-Initio Molecular Dynamics Study of the Si(001) Surface.- Traditional and Ab-Initio Molecular Dynamics Simulations — Applications to Glass Transition and Amorphous SiH.- II Strongly Correlated Electron Systems.- Projection Monte Carlo Method and Choice of the Optimal Trial Wavefunction.- Simulation Method for Strongly Correlated Systems and Its Applications.- Recent Progress in the Auxiliary-Field Many-Fermion Simulation Method.- S-Wave Superconductivity in the t — J Model with Two Planes.- Calculation of Excitation Spectra Based on the Numerical Renormalization Group Method.- Real Space Numerical Renormalization Groups for Hubbard Models.- Bayesian Methods, Maximum Entropy, and Quantum Monte Carlo.- Anyons on a Lattice.- Ground State Wave Function of an Extended Hubbard Model.- Numerical Study on the t-t?—J-J? Model.- Random Magnetic Field and Anderson Localization.- Numerical Studies of Models with Suhl-Kondo Pair Transfer Interaction.- III Quantum Spin Systems and Others.- Numerical Methods for Quantum Spin Systems.- Quantum Effects in Random Spin Systems.- Numerical Calculations of S=1 Heisenberg Antiferromagnetic Chain.- Frustrated Quantum Antiferromagnets in Two Dimensions.- Symmetry Breaking in a Quantum Double-Well Chain.- Numerical Experiments on Frustrated Quantum SpinSystems.- Haldane Antiferromagnet in a Magnetic Field.- Spin Correlations in the S=1 XXZ Chain.- Crossover Between the Haldane Gap Phase and the Dimer Phase in the Spin 1/2 Alternating Heisenberg Chain.- Ground-State Properties of the Frustrated One-Dimensional S=1 Heisenberg Model.- Numerical Study of Quantum Spin Systems.- The Ground State of Frustrated Quantum Spin Systems and the Marshall Condition.- Ground State of the Two-Dimensional Square-Lattice Antiferromagnet with Dzyaloshinski-Moriya Interaction.- IV Critical Phenomena.- Numerical CAM Analysis of Critical Phenomena in Spin Systems.- Monte Carlo Study of the Random Potts Model.- Coherent-Anomaly Method in Two-Dimensional Antiferromagnetic Ising Models on Square and Triangular Lattices.- Spin Ordering Property of a System with Nearly Degenerate Stable States.- V Spin Glasses.- Spin Glasses: Results from Numerical Simulations.- A Hybrid Monte-Carlo Spin-Dynamics Method and Its Applications to the ±J Heisenberg Models in Three Dimensions.- Chiral Order in Vector Spin Glasses.- Simulation of Models for Isotropic and Anisotropic Orientational Glasses.- The Phase Diagram of the Three-Dimensional ±J-Ising Spin Glass Model.- Phase Diagram and Ordered Phase of the ±J Model by the Interfacial Method.- Replica Optimization Method for Ground-State Search of Random Spin-Systems.- Anomalous Phase in the 2D EA Ising Spin Glass.- AC Susceptibility of the Three-Dimensional ±J Ising Model.- VI Other Complex Systems.- Monte Carlo Simulation of Polymeric Materials — Still a Challenge?.- Simulating Spatiotemporal Chaos with Coupled Map Lattices.- Dynamical Behavior of Thermostated Harmonic Oscillators.- Computer Simulation of High Density Amorphous Ice.- Statistical Mechanics of Polymer Networks.- Studies on MetastableStates by Ising Machine m-TIS2.- Raman Correlation Function of Percolating Networks.- Dynamics of Charge Density Wave Systems with Multidomain Structure.- VII Computer Facilities.- Computational Physics on Connection Machine Supercomputers.- Ising Machine m-TIS2.- Index of Contributors.