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Physics Letters A

Fluid-dimer critical point in S = antiferromagnetic Heisenberg chain with next nearest neighbor interactions

Kiyomi Okamoto, K. Nomura

Published Oct 1, 1992• 565 citations
Publisher
DOI
10.1016/0375-9601(92)90823-5

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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 = J ∑( S j · S j +1 + α S j · S j +2 ) with J >0 and α>0. Using an exact diagonalization method, we obtain the critical value αc≅0.246\alpha_{c} \cong 0.246αc​≅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).