2
$\begingroup$

How to modify Peierls proof to show that, for the Ising model on the hexagonal lattice with nearest neighbor ferromagnetic coupling $J$, at low temperatures there is a spontaneous magnetization?

$\endgroup$
  • 1
    $\begingroup$ The proof is identical, what would you change? The only (mostly trivial) change concerns the combinatorics of contours, i.e., getting an upper bound on the number of contours of length $\ell$ surrounding a given vertex. But this is done in the same way as on the square lattice, only the constants change. $\endgroup$ – Yvan Velenik Sep 18 '17 at 7:28

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.