Twist Method for Quantum Ground-State Problems and its Application to Antiferromagnetic Heisenberg Chains with Competing Interactions

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概要

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• We present a quantum version of the twist method which has been developed for classical systems. A finite size scaling form for the excess ground state energy is derived and tested for an S=1/2 antiferromagnetic Heisenberg chain with next nearest neighbor interactions : H=JΣ (S_j・S_<j+1>+_αS_j・S_<j+2>) with J>0 and α>0. Using an exact diagonalization method, we obtain the critical value α_c ≃ 0.246 of the fluid-dimer transition, which is very close to the reliable value recently obtained by Okamoto and Nomura (Phys. Lett. A 169 (1992) 433).

• 社団法人日本物理学会の論文
• 1995-01-15

著者

• OKAMOTO Kiyomi

  Department of Physics, Tokyo Institute of Technology

• Ueno Yohtaro

  Department of Physics, Tokyo Institute of Technology

• Okamoto K

  Department Of Physics Tokyo Institute Of Technology

• Okamoto Kiyomi

  Department Of Microbiology Kyoto Pharmaceutical University

• OKAMOTO Kunito

  College of Arts and Sciences, Chiba University

• Ueno Yohtaro

  Department Of Physics Tokyo Institute Of Technolog

• Okamoto Kiyomi

  Department Of Applied Physics Faculty Of Science Tokyo Institute Of Technology

• Ueno Yohtaro

  Department Of Physics Tokyo Institute Of Technogy

• OKAMOTO Kiyomi

  Department of Applied Physics, Faculty of Science Tokyo Institute of Technology

• OKAMOTO Kiyomi

  Department of Physics, Tokyo Institute of Tehchnology

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