A Numerical Study of Spin-1/2 Alternating Antiferromagnetic Heisenberg Linear Chains
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概要
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We numerically caculate the exact ground state energy 7"0(./V, J ) and the first excitedstate energy E.(N, (>) of the one-dimensional spin-{ alternating antiferromagneticHeisenberg modelH=J I [14( - l)'c>].5,.5,.., .7>0, 0<d< 1,for N = 8, 10," - , 20 with N being the number of spins. We employ the finite-size scal-ing method to determine the critical exponents a, b and v of the energy gain by alterna-Lion, the energy gap and the correlation length as defined byRim (E.(N, O) -E.(N, J)]/7V -J', Dim (E.(N, J) -A.(,V,d)] -i',?+ @?-+ @and< -J " (< is the correlation length), respectively. The estimated values area= l.37f0.09, Z>=0.79f0.06, v=0.75-l-0.06. We also analytically calculate< and vby the use of the phase Hamiltonian method for comparison with our numericalresult.
- 社団法人日本物理学会の論文
- 1986-05-15
著者
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OKAMOTO Kiyomi
Department of Physics, Tokyo Institute of Technology
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NISHIMORI Hidetoshi
Department of Physics,Tokyo Institute of Technology
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TAGUCHI Yoshihiro
Department of Physics,Faculty of Science,Tokyo Institute of Technology
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Nishimori Hidetoshi
Department Of Physics Tokyo Institute Of Technology
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Okamoto Kiyomi
Department Of Applied Physics Faculty Of Science Tokyo Institute Of Technology
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Taguchi Yoshihiro
Department Of Physics Faculty Of Science Tokyo Institute Of Technology
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Taguchi Yoshihiro
Department Of Applied Chemistry Nagoya Institute Of Technology Gokiso Showa Nagoya 466 Japan
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Nishimori Hidetoshi
Department Of Physics Faculty Of Science Tokyo Institute Of Technology
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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Nishimori Hidetoshi
Department of Physics,Faculty of Science,Tokyo Institute of Technology
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