Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 172

The Phase Transition of the Number-Theoretical Spin Chain

P. Contucci, A. Knauf

The number-theoretical spin chain has exactly one phase transition, which is located at inverse temperature $eta_{ m cr}=2$. There the magnetization jumps from one to zero. The energy density, being zero in the low temperature phase, grows at least linearly in $eta_{ m cr}-eta$.

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