Lack of a thermodynamic finite-temperature spin-glass phase in the two-dimensional randomly coupled ferromagnet Academic Article uri icon


  • © 2018 American Physical Society. The search for problems where quantum adiabatic optimization might excel over classical optimization techniques has sparked a recent interest in inducing a finite-temperature spin-glass transition in quasiplanar topologies. We have performed large-scale finite-temperature Monte Carlo simulations of a two-dimensional square-lattice bimodal spin glass with next-nearest ferromagnetic interactions claimed to exhibit a finite-temperature spin-glass state for a particular relative strength of the next-nearest to nearest interactions [Phys. Rev. Lett. 76, 4616 (1996)PRLTAO0031-900710.1103/PhysRevLett.76.4616]. Our results show that the system is in a paramagnetic state in the thermodynamic limit, despite zero-temperature simulations [Phys. Rev. B 63, 094423 (2001)PRBMDO0163-182910.1103/PhysRevB.63.094423] suggesting the existence of a finite-temperature spin-glass transition. Therefore, deducing the finite-temperature behavior from zero-temperature simulations can be dangerous when corrections to scaling are large.

altmetric score

  • 1.6

author list (cited authors)

  • Zhu, Z., Ochoa, A. J., & Katzgraber, H. G.

citation count

  • 0

publication date

  • May 2018