Complex Replica Zeros of $\pm J$ Ising Spin Glass at Zero Temperature

Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori

Zeros of the $n$th moment of the partition function $[Z^n]$ are investigated in a vanishing temperature limit $\beta \to \infty$, $n\to 0$ keeping $y=\beta n\sim O(1)$. In this limit, the…