Exact ground states of frustrated quantum spin systems consisting of spin-dimer units
Statistical Mechanics
2017-04-26 v2
Abstract
We study frustrated quantum spin systems consisting of dimers of spin-1/2 spins. We derive several models that have the exact ground state of the form of the direct product of dimer states. The ground states realized include the product state of dimer singlets, that of dimer triplets with zero magnetization, those of dimer-spin-nematic states, and those of a mixture of the dimer states. Pseudo spin-1/2 operators emerging in each dimer are also introduced.
Keywords
Cite
@article{arxiv.1612.07515,
title = {Exact ground states of frustrated quantum spin systems consisting of spin-dimer units},
author = {Toshiya Hikihara and Takashi Tonegawa and Kiyomi Okamoto and Tôru Sakai},
journal= {arXiv preprint arXiv:1612.07515},
year = {2017}
}
Comments
9 pages, 4 figures, 1 table. v2: accepted version, Sec.IIIE and a few references added, some sentences revised, to appear in J. Phys. Soc. Jpn