Inverse freezing in a van Hemmen Fermionic Ising Spin Glass model under transverse and random magnetic fields

References

• N. Schupper and N.M. Schnerb, Inverse melting and inverse freezing: A spin model, Phys. Rev. E 72 (2005), p. 046107.
   Web of Science ®Google Scholar
• N. Avraham, B. Khaykovich, Y. Myasoedev, M. Rappoport, H. Shtrikman, D.E. Feldman, T. Tamegai, P.H. Kes, M. Li, M. Konczykowski, K. van der Beek, and E. Zeldov, ’Inverse’ melting of a vortex lattice, Nature 411 (2001), pp. 451–454.
   PubMed Web of Science ®Google Scholar
• S. Rastogi, G.W.H. Hohne, and A. Keller, Unusual pressure-induced phase behavior in crystalline poly(4-methylpentene-1): calorimetric and spectroscopic results and further implications, Macromolecules 32 (1999), pp. 8897–8909.
   Web of Science ®Google Scholar
• O. Portman, A. Vaterlaus, and D. Pescia, An inverse transition of magnetic domain patterns in ultrathin films, Nature 422 (2003), pp. 701–704.
   PubMed Web of Science ®Google Scholar
• M. Blume, Theory of the first-order magnetic phase change in UO2, Phys. Rev. 141 (1966), pp. 517–527; H.W. Capel, On the possibility transitions of first-order in Ising systems with zero-field phase of triplet ions splitting, Physica. 32 (1966), pp. 966–988.
   Web of Science ®Google Scholar
• S.K. Ghatak and D. Sherrington, Crystal field effects in a general Ising spin glass, J. Phys. C 10 (1977), pp. 3149–3156.
   Web of Science ®Google Scholar
• A. Crisanti and L. Leuzzi, Stable solution of the simplest spin model for inverse freezing, Phys. Rev. Lett. 95 (2005), p. 087201.
   PubMed Web of Science ®Google Scholar
• M. Paoluzzi, L. Leuzzi, and A. Crisanti, thermodynamic first order transition and inverse freezing in a 3D spin glass, Phys. Rev. Lett. 104 (2010), p. 120602.
   PubMed Web of Science ®Google Scholar
• S.G. Magalhaes, C.V. Morais, and F.M. Zimmer, Role of the transverse field in inverse freezing in the fermionic Ising spin glass model, Phys. Rev. B 77 (2008), p. 134422.
   Web of Science ®Google Scholar
• S.G. Magalhaes, C.V. Morais, and F.M. Zimmer, Inverse freezing in the Hopfield fermionic Ising Spin Glass, Phys. Rev. B 81 (2010), p. 014207.
   Web of Science ®Google Scholar
• S.G. Magalhaes, C.V. Morais, and F.M. Zimmer, Fermionic van Hemmen spin glass model with a transverse field, Phys. Lett. A 374 (2010), pp. 3554–3560.
   Web of Science ®Google Scholar
• C.V. Morais, F.M. Zimmer, and S.G. Magalhaes, Inverse freezing in the Hopfield fermionic Ising spin glass with a transverse magnetic field, Phys. Lett. A 375 (2011), pp. 689–697.
   Web of Science ®Google Scholar
• R. Oppermann and A. Muller-Groeling, From localized to itinerant spin glasses: Grassmann field theory and mean-field solutions, Nuclear Phys. B 401 (1993), pp. 507–547.
   Web of Science ®Google Scholar
• F.M. Zimmer and S.G. Magalhaes, One-step replica symmetry breaking solution for a fermionic Ising spin glass in a transverse field, Phys. Rev. B 74 (2006), p. 012202.
   Web of Science ®Google Scholar
• B. Rosenow and R. Oppermann, Tricritical behavior of Ising spin glasses with charge fluctuations, Phys. Rev. Lett. 77 (1996), pp. 1608–1611.
   PubMed Web of Science ®Google Scholar
• C.V. Morais, M.J. Lazo, F.M. Zimmer, and S.G. Magalhes, Inverse freezing in the Ghatak-Sherrington model with a random field, Phys. Rev. E 85 (2012), p, 031133.
   Web of Science ®Google Scholar
• C.V. Morais, M.J. Lazo, F.M. Zimmer, and S.G. Magalhes, Inverse transitions in the Ghatak-Sherrington model with bimodal random fields, Physica A (Print) 392 (2013), pp. 1770–1775.
   Web of Science ®Google Scholar
• D.P. Belanger, in Spin Glasses and Random Fields, A.P. Young, ed., World Scientific, Singapore, 1998, pp. 251–275.
   Google Scholar
• F.M. Zimmer, I.C. Berger, and S.G. Magalhaes, Inverse freezing in the van Hemmen Fermionic Ising spin glass with a transverse magnetic field, Phys. Lett. A 376 (2012), pp. 566–572.
   Web of Science ®Google Scholar
• A.J. Bray and M.A. Moore, Replica theory of quantum spin glasses, J. Phys. C. 13 (1980), pp. L655–L660.
   Web of Science ®Google Scholar
• D. Sherrington and S. Kirkpatrick, Solvable model of a spin glass, Phys. Rev. Lett. 35 (1975), pp. 1792–1795.
   Web of Science ®Google Scholar
• C.V. Morais, F.M. Zimmer, M.J. Lazo, S.G. Magalhaes, and F.D. Nobre, Spin-glass phase transition and behaviour of nonlinear suscetibilityin the Sherrington-Kirkpatrick model with random fields, Phys. Rev. B 93 (2016), p. 224206.
   Web of Science ®Google Scholar
• J.L. van Hemmen, Classical spin glass model, Phys. Rev. Lett. 49 (1982), pp. 409–412.
   Web of Science ®Google Scholar
• J.L. van Hemmen, A.C.D. van Enter, and J. Canisius, On a classical spin glass model, Z. Phys. B - Condens. Matter 50 (1983), pp. 311–336.
   Google Scholar
• J.W. Negele and H. Orland, Quantum Many-particle Systems, Addison-Wesley, Reading, MA, 1988.
   Google Scholar