Spontaneous $SU_2(\mathbb{C})$ symmetry breaking in the ground states of quantum spin chain
Mohari, Anilesh
arXiv, 0509049 / Harvested from arXiv
Text on arXiv
In this paper, we have proved that there exists no translation invariant pure state of $\mathbb{M}=\otimes_{k \in \mathbb{Z}}\!M^{(k)}_d(\mathbb{C})$ that is real, lattice symmetric with a certain twist and $SU_2(\mathbb{C})$ invariant for any even integer $d \ge 2$. In particular, this result also says that the Heisenberg iso-spin anti-ferromagnetic model with ${1 \over 2}$-odd integer spin degrees of freedom does not admit a unique ground state.
Publié le : 2005-09-21
Classification:  Mathematical Physics,  Mathematics - Operator Algebras 
@article{0509049,
     author = {Mohari, Anilesh},
     title = {Spontaneous $SU\_2(\mathbb{C})$ symmetry breaking in the ground states of
  quantum spin chain},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509049}
}

Mohari, Anilesh. Spontaneous $SU_2(\mathbb{C})$ symmetry breaking in the ground states of
  quantum spin chain. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509049/