4
$\begingroup$

What is the temperature for the phase transition in the triangular-lattice Ising model? and in the hexagonal-lattice Ising model?

$\endgroup$
8
$\begingroup$

I presume this is for a ferromagnetic interaction with all bonds of strength $J$.

The critical temperatures can be found using Kramers-Wannier duality and a star-triangle transformation. According to these notes they are $4J/\log(3)$ for the triangular and $2J/\log(2+\sqrt{3})$ for the hexagonal lattice.

$\endgroup$

Your Answer

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.