BKT-like transition in the Potts model on an inhomogeneous annealed network

Details BKT-like transition in the Potts model on an inhomogeneous annealed network BKT-like transition in the Potts model on an inhomogeneous annealed network

2007-01-08

arxiv.org/abs/cond-mat/0701156v2

Phys. Rev. E 75, 041112 (2007)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevE.75.041112

We solve the ferromagnetic q-state Potts model on an inhomogeneous annealed network which mimics a random recursive graph. We find that this system has the inverted Berezinskii--Kosterlitz--Thouless (BKT) phase transition for any $q \geq 1$, including the values $q \geq 3$, where the Potts model normally shows a first order phase transition. We obtain the temperature dependences of the order parameter, specific heat, and susceptibility demonstrating features typical for the BKT transition. We show that in the entire normal phase, both the distribution of a linear response to an applied local field and the distribution of spin-spin correlations have a critical, i.e. power-law, form.

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