中国物理B ›› 1995, Vol. 4 ›› Issue (3): 169-174.doi: 10.1088/1004-423X/4/3/002

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CONFORMAL INVARIANCE AND THE LANCZOS METHOD STUDIES OF A SPINNING QUANTUM CHAIN

张海燕, 马红孺, 许伯威   

  1. Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:1994-03-08 出版日期:1995-03-20 发布日期:1995-03-20
  • 基金资助:
    Project supported by the Science Foundation of State Education Commission of China.

CONFORMAL INVARIANCE AND THE LANCZOS METHOD STUDIES OF A SPINNING QUANTUM CHAIN

ZHANG HAI-YAN (张海燕), MA HONG-RU (马红孺), XU BO-WEI (许伯威)   

  1. Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:1994-03-08 Online:1995-03-20 Published:1995-03-20
  • Supported by:
    Project supported by the Science Foundation of State Education Commission of China.

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摘要： The low-lying energy spectrum of a spinning quantum chain in the critical region is calculated by using Lanczos method. According to conformal theory, the anomalous dimensions χ and the normalising factor ξ are obtained from the energy spectrum. Also a simple derivation of the field theory of the model is given.

Abstract: The low-lying energy spectrum of a spinning quantum chain in the critical region is calculated by using Lanczos method. According to conformal theory, the anomalous dimensions $\chi$ and the normalising factor $\xi$ are obtained from the energy spectrum. Also a simple derivation of the field theory of the model is given.

中图分类号:  (Quantum statistical mechanics)

  • 05.30.-d
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 05.70.Jk (Critical point phenomena)