Critical exponent in the magnetization curve of quantum spin chains

Details Critical exponent in the magnetization curve of quantum spin chains Critical exponent in the magnetization curve of quantum spin chains

1998-01-28

arxiv.org/abs/cond-mat/9801288v1

Phys. Rev. B 57 (1998) R8091

Physics

Condensed Matter

Statistical Mechanics

4 pages, Revtex, with 4 eps figures

Scientific paper

10.1103/PhysRevB.57.R8091

The ground state magnetization curve around the critical magnetic field $H_c$ of quantum spin chains with the spin gap is investigated. We propose a size scaling method to estimate the critical exponent $\delta$ defined as $m\sim |H-H_c|^{1/\delta}$ from finite cluster calculation. The applications of the method to the S=1 antiferromagnetic chain and S=1/2 bond alternating chain lead to a common conclusion $\delta =2$. The same result is derived for both edges of the magnetization plateau of the S=3/2 antiferromagnetic chain with the single ion anisotropy.

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