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Progress of Theoretical Physics

New Method of Monte Carlo Simulations and Phenomenological Theory of Phase Transition in the Two-Dimensional XY-Model

Masuo Suzuki, Seiji Miyashita, A. Kuroda

Published Aug 1, 1977• 16 citations
Publisher

Abstract

Progress of Theoretical Physics Vol. 58 No. 5 (1977) pp. 1377-1387 Monte Carlo Simulation of Quantum Spin Systems. I Masuo Suzuki, Seiji Miyashita and Akira Kuroda Progress of Theoretical Physics Vol. 60 No. 6 (1978) pp. 1669-1685 Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model Seiji Miyashita, Hidetoshi Nishimori, Akira Kuroda and Masuo Suzuki

DOI
10.1143/ptp.58.701

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Progress of Theoretical Physics•Dec 1, 1967•42 citations
Progress of Theoretical Physics Vol. 58 No. 5 (1977) pp. 1377-1387 Monte Carlo Simulation of Quantum Spin Systems. I Masuo Suzuki, Seiji Miyashita and Akira Kuroda Progress of Theoretical Physics Vol. 60 No. 6 (1978) pp. 1669-1685 Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model Seiji Miyashita, Hidetoshi Nishimori, Akira Kuroda and Masuo Suzuki
Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1225-1242 A Theory of the Second Order Phase Transitions in Spin Systems. II Masuo Suzuki Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1243-1251 Note on Singularity of Specific Heat in the Second Order Phase Transition Masuo Suzuki Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 349-364 A Theory of the Second Order Phase Transitions in Spin Systems. III Masuo Suzuki Progress of Theoretical Physics Vol. 40 No. 6 (1968) pp. 1246-1256 Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism Masuo Suzuki Progress of Theoretical Physics Vol. 41 No. 6 (1969) pp. 1438-1449 On the Distribution of Zeros for the Heisenberg Model Masuo Suzuki Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 882-906 On the Singularity of Dynamical Response and Critical Slowing Down Masuo Suzuki Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1440-1450 Critical Exponents for Long-Range Interactions. III Masuo Suzuki
Journal of the Physical Society of Japan 59 (1990) pp. 3823-3826 Ferromagnetic-Nonferromagnetic Phase Boundary on the Two-Dimensional ±J Ising Model Hidetsugu Kitatani and Takehiko Oguchi Journal of the Physical Society of Japan 61 (1992) pp. 64-69 Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice Tsuyoshi Horiguchi, Kazuyuki Tanaka and Tohru Morita Journal of the Physical Society of Japan 61 (1992) pp. 1598-1605 The Critical Exponent ν along the Ferromagnetic-Nonferromagnetic Phase Boundary in the Two-Dimensional ±J Ising Model Hidetsugu Kitatani and Takehiko Oguchi Journal of the Physical Society of Japan 61 (1992) pp. 3417-3418 Breakdown of the Strong Universality of the Three-Dimensional ±J Ising Model Takayuki Shirakura, Fumitaka Matsubara and Sakari Inawashiro Journal of the Physical Society of Japan 62 (1993) pp. 3007-3010 Phase Transition of Three-Dimensional Site-Random Ising Model with Short-Range Interactions Takayuki Shirakura and Fumitaka Matsubara Journal of the Physical Society of Japan 63 (1994) pp. 2511-2513 CAM Analysis of Dimensionality Crossover Hidetsugu Kitatani, Takahiro Kakiuchi, Nobuyasu Ito and Masuo Suzuki Journal of the Physical Society of Japan 65 (1996) pp. 736-740 Non-Equilibrium Critical Dynamics of the Kinetic Baxter Model Hiroshi Takano Journal of the Physical Society of Japan 65 (1996) pp. 4050-4053 The Shift Exponent of the Layered Square-Lattice Ising Models Hidetsugu Kitatani, Masato Ohta and Nobuyasu Ito Journal of the Physical Society of Japan 68 (1999) pp. 3755-3758 Weak Universality of a Site-Percolation Model with Two Different Sizes of Particles on a Square Lattice Ryoji Sahara, Hiroshi Mizuseki, Kaoru Ohno and Yoshiyuki Kawazoe Journal of the Physical Society of Japan 78 (2009) 114004 (9 pages) Monte Carlo Study of Two-Dimensional Heisenberg Dipolar Lattices Yusuke Tomita Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 1007-1008 Quantum Crossover Effect in the Gas-Liquid Phase Transition Masuo Suzuki Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1454-1469 Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems Masuo Suzuki Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 2004-2006 A Stochastic Eight-Vertex Model and Universality in Critical Dynamics Hiroshi Ikeda Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 65-76 Phase Transition and Fractals Masuo Suzuki Progress of Theoretical Physics Vol. 79 No. 5 (1988) pp. 1080-1094 Percolation Problem Describing ±J Ising Spin Glass System Yasuhiro Kasai and Ayao Okiji Progress of Theoretical Physics Vol. 98 No. 1 (1997) pp. 39-55 Annealed Character of Spin Clusters in Ising Spin Systems Yasuhiro Kasai, Hitoshi Imaoka and Kohzaburo Ohnaka Progress of Theoretical Physics Supplement No.115 (1994) pp. 221-235 Coherent-Anomaly Analysis with Cluster Variation Method for Two-Dimensional Ising Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions Kazuyuki Tanaka, Tsuyoshi Horiguchi and Tohru Morita
Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 97-110 On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model Masuo Suzuki Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 901-902 On the Relaxation Process of Homogeneous Condensate of Weakly Interacting Bose Systems Fumihiko Tanaka Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 289-290 Coherent Representation of Dynamical Renormalization Group in Bose Systems Fumihiko Tanaka Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1679-1692 Coherent Representation of Dynamical Renormalization Group in Bose Systems Fumihiko Tanaka Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1142-1150 Static and Dynamic Finite-Size Scaling Theory Based on the Renormalization Group Approach Masuo Suzuki Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 864-880 Real-Space Renormalization Group Approach to Critical Dynamics Masuo Suzuki, Kiyoshi Sogo, Ikuo Matsuba, Hiroshi Ikeda, Terumi Chikama and Hiroshi Takano
Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 433-452 Dynamics of Macrovariables for Nonuniform Systems Hazime Mori Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 722-725 Perturbational Renormalization Group Approach to Critical Dynamics in Stochastic Models Masuo Suzuki and Fumihiko Tanaka Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 871-885 Critical Relaxation of a Non-Linear Fokker-Planck Equation Hideo Yahata Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1617-1640 Stochastic Processes of Macroscopic Variables Hazime Mori Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1679-1692 Coherent Representation of Dynamical Renormalization Group in Bose Systems Fumihiko Tanaka Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 2041-2042 On the Nonlinear Critical Slowing Down in the Stochastic Model Masuo Suzuki and Hiroshi Ikeda Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 864-880 Real-Space Renormalization Group Approach to Critical Dynamics Masuo Suzuki, Kiyoshi Sogo, Ikuo Matsuba, Hiroshi Ikeda, Terumi Chikama and Hiroshi Takano Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 42-50 Pseudo-Critical Phenomena in the Fisher-Domb Cluster Model Hiroshi Ikeda Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 1917-1934 Universality and Scaling Law of Long-Time Tails in Multiplicative Stochastic Processes Masuo Suzuki
Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1603-1612 Distribution of Zeros of the Partition Function in the First and Second Order Phase Transitions Keiji Yamada, Huzio Nakano and Mamoru Yamashita Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 375-388 Landau Theory and the Inverse Temperature Series Expansion in the Method of Symmetry Breaking Potential Mamoru Yamashita Progress of Theoretical Physics Supplement No.87 (1986) pp. 1-22 Skeletonization, Fluctuating Mean-Field Approximations and Coherent Anomalies in Critical Phenomena Masuo Suzuki