Phase transition in O_2
arXiv:1510.07513 · doi:10.1007/s00220-016-2742-4
Abstract
We exhibit a one-parameter group of automorphism on the Cuntz-algebra O_2 such that the simplex of KMS states changes abruptly at a certain critical temperature from infinitely many to one, and then none. The factor types of the extremal KMS states are also determined.
Theorem 2.2 has been corrected in this second version. 11 pages