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I was calculating the Edwards-Anderson Hamiltonian of a Hopf link. A hopf link is like attachment 1. I have drawn the Seifert surface of that link. The surface is shown in attachment 2. It also contains the Boltzmann weight. So, this is an Ising model. I am confused as there are more than one interaction between a pair of sites. How will I keep that consideration when I calculate the Edwards-Anderson Hamiltonian.

Thanks in advance for your answers.

The attachments cannot be posted as I am a new user. They are available at http://www.physicsforums.com/showthread.php?t=649548 .

A quick supplementary question: should I model it as a frustrated Ising system?

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Cross-posted to physicsforum. –  Qmechanic Nov 5 '12 at 8:19
    
Links not accessible unless one gets an account on physicsforum. –  Qmechanic Nov 5 '12 at 23:32
    
Louis Kauffman advised me to just add the interactions up. –  Omar Shehab Feb 21 '13 at 5:49

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