中国物理B ›› 1995, Vol. 4 ›› Issue (11): 842-846.doi: 10.1088/1004-423X/4/11/007

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CRITICAL EXPONENTS OF THE ONE-DIMENSIONAL CONTINUUM HEISENBERG-ISING MODEL

许伯威1, 章豫梅2   

  1. (1)Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; (2)Department of Physics, Tongji University, Shanghai 200092, China
  • 收稿日期:1995-03-16 出版日期:1995-11-20 发布日期:1995-11-20
  • 基金资助:
    project supported by the National Natural Science Foundation of China.

CRITICAL EXPONENTS OF THE ONE-DIMENSIONAL CONTINUUM HEISENBERG-ISING MODEL

ZHANG YU-MEI (章豫梅)a, XU BO-WEI (许伯威)b   

  1. a Department of Physics, Tongji University, Shanghai 200092, China; b Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:1995-03-16 Online:1995-11-20 Published:1995-11-20
  • Supported by:
    project supported by the National Natural Science Foundation of China.

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摘要： The continuum generalization of the one-dimensional Heisenberg-Ising model is studied by the bosonization method. With reference to the results of the renormalization group theory, we are able to obtain the critical exponents by considering the influence of the large momentum transfer and improve Luther and Peschel's results to the next order. A comparison of the exact result of the lattice model with that of the continuum model by various treatments are also given.

Abstract: The continuum generalization of the one-dimensional Heisenberg-Ising model is studied by the bosonization method. With reference to the results of the renormalization group theory, we are able to obtain the critical exponents by considering the influence of the large momentum transfer and improve Luther and Peschel's results to the next order. A comparison of the exact result of the lattice model with that of the continuum model by various treatments are also given.

中图分类号:  (Quantized spin models, including quantum spin frustration)

  • 75.10.Jm
75.40.Cx (Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)) 05.50.+q (Lattice theory and statistics)