Aguilar-Janita, M.Martín Mayor, VíctorMoreno-Gordo, J.Ruiz-Lorenzo, J. J.2025-10-312025-10-312024-05-10Aguilar-Janita, M., et al. «Evidence of a Second-Order Phase Transition in the Six-Dimensional Ising Spin Glass in a Field». Physical Review E, vol. 109, n.o 5, mayo de 2024, p. 055302. DOI.org (Crossref), https://doi.org/10.1103/PhysRevE.109.0553022470-004510.1103/physreve.109.055302https://hdl.handle.net/20.500.14352/125603©2024 American Physical Society IB20079; CCASSE M2737; 2021–2023 Margarita Salas GrantThe very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to classical-but not generally accepted-field-theoretical studies, is the upper critical dimension). We obtain results compatible with a second-order phase transition and estimate its critical exponents for the simulated lattice sizes. The detailed analysis performed by other authors of the replica symmetric Hamiltonian, under the hypothesis of critical behavior, predicts that the ratio of the renormalized coupling constants remain bounded as the correlation length grows. Our numerical results are in agreement with this expectation.engjournal article2470-0053https//doi.org/10.1103/physreve.109.055302https://journals.aps.org/pre/abstract/10.1103/PhysRevE.109.055302https://arxiv.org/abs/2510.14446open access53Phase transitionsDisordered systemsGlassy systemsSpin glassesMonte Carlo methodsFísica (Física)2212 Física Teórica