Firstorder and pseudofirstorder transition in the high dimensional $O(N)\otimes O(M)$ model
Abstract
Using the renormalization group approach, we consider the $O(N)\otimes O(M)$ model in four and more dimensions. We find that independently on $N$ and $M$, for $N\geq M\geq 2$, a transition can be of both the first and second order. In $d>4$, we also cannot exclude a pseudofirstorder behavior. As specific physically interesting cases, we consider the lattice version of the $O(2)\otimes O(2)$, $O(3)\otimes O(2)$ and $O(3)\otimes O(3)$ sigma models on a four dimensional hypercubic lattice. In all these cases, we find a distinct firstorder transition.
 Publication:

arXiv eprints
 Pub Date:
 April 2021
 arXiv:
 arXiv:2105.00072
 Bibcode:
 2021arXiv210500072S
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Condensed Matter  Statistical Mechanics
 EPrint:
 6 pages, 5 figures