RT Journal Article
T1 Evidence of a second-order phase transition in the six-dimensional Ising spin glass in a field
A1 Aguilar-Janita, M.
A1 Martín Mayor, Víctor
A1 Moreno-Gordo, J.
A1 Ruiz-Lorenzo, J. J.
AB The 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.
PB American Physical Society
SN 2470-0045
YR 2024
FD 2024-05-10
LK https://hdl.handle.net/20.500.14352/125603
UL https://hdl.handle.net/20.500.14352/125603
LA eng
NO Aguilar-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.109.055302
NO ©2024 American Physical SocietyIB20079; CCASSE M2737;  2021–2023 Margarita Salas Grant
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
NO Comunidad de Madrid
NO Universidad Rey Juan Carlos (España)
DS Docta Complutense
RD 23 mar 2026