## Abstract

The symmetry operator Q=Y^{2} is introduced to re-describe the Heisenberg spin triangles in the {V6} molecule, where Y stands for the Yangian operator which can be viewed as special form of Dzyaloshinsky-Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 12-spins commutes with Q, which mean that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian H_{4} for the model allows to take the total spin S=1 by choosing some suitable exchange constants in H_{4}. In analogy to the molecule {V6} where the two triangles interact through Yangian operator we then give the magnetization for the theoretical molecule "{V8}" model which is comprised of two parallelograms. Following the example of molecule {V15}, we give another theoretical molecule model regarding the four 12-spins system with total spin S=1 and predict the local moments to be 910μB,110μB,110μB,910μB, respectively.

Original language | English |
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Pages (from-to) | 216-231 |

Number of pages | 16 |

Journal | Annals of Physics |

Volume | 326 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2011 |

Externally published | Yes |

## Keywords

- Hysteresis
- Local spin moment
- Yangian
- {V6} molecule