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Condensed Matter Physics
Article . 2001 . Peer-reviewed
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Condensed Matter Physics
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ON THE CRITICAL BEHAVIOUR OF RANDOM ANISOTROPY MAGNETS: CUBIC ANISOTROPY

Authors: Dudka, M.; Folk, R.; Holovatch, Yu.;

ON THE CRITICAL BEHAVIOUR OF RANDOM ANISOTROPY MAGNETS: CUBIC ANISOTROPY

Abstract

???????????????? ?????????????????? m -?????????????????? ???????????? ?? ???????????????????? ?????????? ?????????????????????? ???????????????????? ???????????????????? ?????????????????????????? ?????? ?????????????????? ?????????????????? ???????? ?????????????????????? ???? ?????????????????? ???????????? ??????????????????-???????????????? ?????????????????????????????????? ??????????. ???????????? ?????? ???????????????????????????? ?????????????? ???????????????????????? ?? ???????????????????????? ???????????????????? ?? ?????????????????????????? ???? ?? = 4 ??? d ??????????????????, ?????? ?? ?????????????????????????? ?????? ???????????????????? ???????????????? d = 3 ???????????????????????????????? ????????-????????????. ?????????????????????? ???????? ?????????????? ???????????? ?????????????????? ??????????, ?????? ???????????? ???? ?????????????? ?????????????? ?????????????? ???????? ?? ???????????????????? ?????????????????????? ???????????????????? ???????????? ????????????.

The critical behaviour of an m -vector model with a local anisotropy axis of random orientation is studied within the field-theoretical renormalization group approach for cubic distribution of anisotropy axis. Expressions for the renormalization group functions are calculated up to the two-loop order and investigated both by an ?? = 4 ??? d expansion and directly at space dimension d = 3 by means of the Pade-Borel resummation. One accessible ?? stable fixed point indicating a 2nd order ferromagnetic phase transition with dilute Ising-like critical exponents is obtained.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Average
Average
gold