Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins

Details Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins

1996-10-23

arxiv.org/abs/cond-mat/9610168v3

Phys. Rev. Lett. 78, 1984 (1997)

Physics

Condensed Matter

Strongly Correlated Electrons

Revised version, to appear in Phys. Rev. Lett. (no changes in main conclusions); 5 pages, REVTEX with 2 figures in eps

Scientific paper

10.1103/PhysRevLett.78.1984

We discuss zero-temperature quantum spin chains in a uniform magnetic field, with axial symmetry. For integer or half-integer spin, $S$, the magnetization curve can have plateaus and we argue that the magnetization per site $m$ is topologically quantized as $q (S - m)= integer$ at the plateaus, where $q$ is the period of the groundstate. We also discuss conditions for the presence of the plateau at those quantized values. For $S=3/2$ and $m=1/2$, we study several models and find two distinct types of massive phases at the plateau. One of them is argued to be a ``Haldane gap phase'' for half-integer $S$.

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