We present some new results on the region in the β-h plane where the + spins percolate for the nearest neighbor Ising model. In particular, it is shown that in high enough dimensions d there is percolation of the minority spins at inverse temperatures β<β+ with some β+>βc, for which β+/gbc≥1/2log(cd), c a constant.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics