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The free energy in a class of quantum spin systems and interchange processes

Jakob E. Björnberg (Institutionen för matematiska vetenskaper, matematisk statistik)
Journal of Mathematical Physics (0022-2488). Vol. 57 (2016), 7,
[Artikel, refereegranskad vetenskaplig]

We study a class of quantum spin systems in the mean-field setting of the complete graph. For spin S = 1/2 , the model is the Heisenberg ferromagnet, and for general spin S ∊ 1/2N, it has a probabilistic representation as a cycle-weighted interchange process.We determine the free energy and the critical temperature (recovering results by Tóth and by Penrose when S = 1/2). The critical temperature is shown to coincide (as a function of S) with that of the q = 2S + 1 state classical Potts model, and the phase transition is discontinuous when S ≥ 1.



Denna post skapades 2016-12-12.
CPL Pubid: 246054

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur