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Volumn 64, Issue 1, 2001, Pages

Critical behavior of two- and three-dimensional ferromagnetic and antiferromagnetic spin-ice systems using the effective-field renormalization group technique

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIAL;

EID: 0034895619     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.014418     Document Type: Article
Times cited : (13)

References (34)
  • 1
    • 85038282781 scopus 로고    scopus 로고
    • Proceedings of the Highly Frustrated Magnetism Conference 2000, edited by M. J. P. Gingras (unpublished)
    • Proceedings of the Highly Frustrated Magnetism Conference 2000, edited by M. J. P. Gingras (unpublished).
  • 4
    • 85038337497 scopus 로고    scopus 로고
    • in Proceedings of the Highly Frustrated Magnetism 2000 Conference (Ref. 1), cond-mat/0010301 (unpublished)
    • R. Moessner, in Proceedings of the Highly Frustrated Magnetism 2000 Conference (Ref. 1), cond-mat/0010301 (unpublished).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 2554
    • Moessner, R.1
  • 14
    • 85038301352 scopus 로고    scopus 로고
    • It is important to stress that this single axis Ising spin system cannot occur in a pyrochlore lattice, as it is incompatible with the cubic symmetry of the spatial group. However, it is a very instructive example, and will prove to be useful for testing the accuracy of the results presented in this work
    • It is important to stress that this single axis Ising spin system cannot occur in a pyrochlore lattice, as it is incompatible with the cubic symmetry of the spatial group. However, it is a very instructive example, and will prove to be useful for testing the accuracy of the results presented in this work.
  • 24
    • 17444434348 scopus 로고
    • This is the case even if we consider the smallest possible clusters. See, for example, I. P. Fittipaldi and D. F. de Alburquerque, J. Magn. Magn. Mater. 104-107, 236 (1992), where they studied the Ising model with bond dilution in both the simple square and kagomé lattices in the EFRG framework by using clusters of one and two spins, respectively.
    • (1992) J. Magn. Magn. Mater. , vol.104 , pp. 236
    • Fittipaldi, I.P.1    de Alburquerque, D.F.2
  • 30
    • 85038309804 scopus 로고    scopus 로고
    • Another possible definition of the scaling factor we can use consists of calculating from Eq. (79) the value of l that leads to the exact value of (Formula presented) for the standard Ising model and making use of this value to estimate the corresponding magnetic critical exponent. The values of l obtained in this way are (Formula presented) and (Formula presented) for the kagomé and pyrochlore lattices, respectively. The corresponding magnetic critical exponents are (Formula presented) and (Formula presented) for the standard Ising model in the kagomé and pyrochlore lattices, respectively, and (Formula presented) and (Formula presented), for the 2D spin ice and the 3D spin ice, respectively
    • Another possible definition of the scaling factor we can use consists of calculating from Eq. (79) the value of l that leads to the exact value of (Formula presented) for the standard Ising model and making use of this value to estimate the corresponding magnetic critical exponent. The values of l obtained in this way are (Formula presented) and (Formula presented) for the kagomé and pyrochlore lattices, respectively. The corresponding magnetic critical exponents are (Formula presented) and (Formula presented) for the standard Ising model in the kagomé and pyrochlore lattices, respectively, and (Formula presented) and (Formula presented), for the 2D spin ice and the 3D spin ice, respectively.
  • 31
    • 85038332123 scopus 로고    scopus 로고
    • Even though, this is only the case for very special cases, such as the ones considered in this work, because spin-ice systems with arbitrary unitary vectors are, in general, incompatible with the symmetries of the crystalline lattice
    • Even though, this is only the case for very special cases, such as the ones considered in this work, because spin-ice systems with arbitrary unitary vectors are, in general, incompatible with the symmetries of the crystalline lattice.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.