Numerical Solution of the spin-3/2 Heisenberg Antiferromagnetic Chains Using a Projector Method |
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Authors: | Gang SUN Fu-Cho PU |
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Institution: | 1. Center of Theoretical Physics, CCAST (World Lab.), Beijing 100080, China;
2. Institute of Physics, Academia Sinica, P.O. Box 603, Beijing 100080, China |
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Abstract: | An efficient projector method is used to calculate the energies of the ground state and the first excited state, and hence the energy gap between them, of the spin-3/2 Heisenberg antiferromagnetic chains with linear sizes up to N = 32. For the chains up to N = 8 the exact results are obtained, and for longer chains up to N = 32 they are estimated by imposing on Monte Carlo technique. It is found that the size dependence of the ground state energy per site has the form of eo(N) - eo] ~ 1/N2, and the value of the ground state energy per site as N→∞ is eo = -2.8248. Our results show that the energy gap trends to zero as N→∞, which is consistent with the rigorous proof. |
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