Universidad de Zaragoza Repository

Resumen: We study the two-dimensional antiferromagnetic Ising model with a purely imaginary magnetic field, which can be thought of as a toy model for the usual ¿ physics. Our motivation is to have a benchmark calculation in a system which suffers from a strong sign problem, so that our results can be used to test Monte Carlo methods developed to tackle such problems. We analyze here this model by means of analytical techniques, computing exactly the first eight cumulants of the expansion of the effective Hamiltonian in powers of the inverse temperature, and calculating physical observables for a large number of degrees of freedom with the help of standard multiprecision algorithms. We report accurate results for the free energy density, internal energy, standard and staggered magnetization, and the position and nature of the critical line, which confirm the mean-field qualitative picture, and which should be quantitatively reliable, at least in the high-temperature regime, including the entire critical line.
Idioma: Inglés
DOI: 10.1103/PhysRevE.96.032114
Año: 2017
Publicado en: Physical Review E 96, 3 (2017), 032114 [11 pp]
ISSN: 2470-0045
Factor impacto JCR: 2.284 (2017)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 7 / 55 = 0.127 (2017) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 12 / 31 = 0.387 (2017) - Q2 - T2
Factor impacto SCIMAGO: 0.979 - Condensed Matter Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Statistics and Probability (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P
Tipo y forma: Article (Published version)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)

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