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arXiv:cond-mat/0305057 · Journal of Physics Condensed Matter

Magnetic properties of theS 1/2 distorted diamond chain atT 0

Kiyomi Okamoto, Takashi Tonegawa, Makoto Kaburagi

Published Aug 22, 2003• 110 citations
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Abstract

We explore, at T = 0, the magnetic properties of the S = 1/2 antiferromagnetic distorted diamond chain described by the Hamiltonian = ∑ j = 1 N /3 { J 1 ( S 3 j −1 · S 3 j + S 3 j · S 3 j +1 )+ J 2 S 3 j +1 · S 3 j +2 + J 3 ( S 3 j −2 · S 3 j + S 3 j · S 3 j +2 )}− H ∑ l = 1 N S l z with J 1 , J 2 , J 3 ≥ 0, which models well A 3 Cu 3 (PO 4 ) 4 with A = Ca, Sr, Bi 4 Cu 3 V 2 O 14 and azurite Cu 3 (OH) 2 (CO 3 ) 2 . We employ the physical consideration, degenerate perturbation theory, level spectroscopy analysis of the numerical diagonalization data obtained by the Lanczos method and also the density matrix renormalization group (DMRG) method. We investigate the mechanisms of the magnetization plateaux at M = M s /3 and (2/3) M s , and also show the precise phase diagrams of the ( J 2 / J 1 , J 3 / J 1 ) plane concerned with these magnetization plateaux, where M = ∑ l = 1 N S l z and M s is the saturation magnetization. We also calculate the magnetization curves and the magnetization phase diagrams by means of the DMRG method.

DOI
10.1088/0953-8984/15/35/307

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