# Exact and simple results for the XYZ and strongly interacting fermion chains

@article{Fendley2010ExactAS,
title={Exact and simple results for the XYZ and strongly interacting fermion chains},
author={Paul Fendley and Christian Hagendorf},
journal={Journal of Physics A},
year={2010},
volume={43},
pages={402004}
}
• Published 1 June 2010
• Physics, Mathematics
• Journal of Physics A
We conjecture exact and simple formulas for some physical quantities in two quantum chains. A classic result of this type is Onsager, Kaufman and Yang's formula for the spontaneous magnetization in the Ising model, subsequently generalized to the chiral Potts models. We conjecture that analogous results occur in the XYZ chain when the couplings obey JxJy + JyJz + JxJz = 0, and in a related fermion chain with strong interactions and supersymmetry. We find exact formulas for the magnetization and…
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