Field theory and anisotropy of a cubic ferromagnet near the Curie point.

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Field theory and anisotropy of a cubic ferromagnet near the Curie point. / Kudlis, A.; Sokolov, A. I.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 190, No. 2, 2017, p. 295-302.

Research output: Contribution to journal › Article › peer-review

Author

Kudlis, A. ; Sokolov, A. I. / Field theory and anisotropy of a cubic ferromagnet near the Curie point. In: Theoretical and Mathematical Physics(Russian Federation). 2017 ; Vol. 190, No. 2. pp. 295-302.

BibTeX

@article{2c151cf6de834e28b1a3491f260109dd,

title = "Field theory and anisotropy of a cubic ferromagnet near the Curie point.",

abstract = "It is known that critical ﬂuctuations can change the eﬀective anisotropy of a cubic ferromagnet near the Curie point. If the crystal undergoes a phase transition into the orthorhombic phase and the initial anisotropy is not too strong, then the eﬀective anisotropy acquires the universal value A∗ = v∗/u∗ at Tc, where u∗ and v∗ are the coordinates of the cubic ﬁxed point of the renormalization group equations in the scaling equation of state and expressions for nonlinear susceptibilities. Using the pseudo-epsilon-expansion method, we ﬁnd the numerical value of the anisotropy parameter A at the critical point. Pad´e resummation of the six-loop pseudo-epsilon-expansions for u∗, v∗, and A∗ leads to the estimate A∗ =0 .13 ± 0.01, giving evidence that observation of anisotropic critical behavior of cubic ferromagnets in physical and computer experiments is entirely possible.",

keywords = "кубическая модель, эффективная анизотропия, ренормализационная группа, ϵ-разложение, псевдо-ϵ-разложение.",

author = "A. Kudlis and Sokolov, {A. I.}",

year = "2017",

doi = "10.1134/S0040577917020106",

language = "English",

volume = "190",

pages = "295--302",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Field theory and anisotropy of a cubic ferromagnet near the Curie point.

AU - Kudlis, A.

AU - Sokolov, A. I.

PY - 2017

Y1 - 2017

N2 - It is known that critical ﬂuctuations can change the eﬀective anisotropy of a cubic ferromagnet near the Curie point. If the crystal undergoes a phase transition into the orthorhombic phase and the initial anisotropy is not too strong, then the eﬀective anisotropy acquires the universal value A∗ = v∗/u∗ at Tc, where u∗ and v∗ are the coordinates of the cubic ﬁxed point of the renormalization group equations in the scaling equation of state and expressions for nonlinear susceptibilities. Using the pseudo-epsilon-expansion method, we ﬁnd the numerical value of the anisotropy parameter A at the critical point. Pad´e resummation of the six-loop pseudo-epsilon-expansions for u∗, v∗, and A∗ leads to the estimate A∗ =0 .13 ± 0.01, giving evidence that observation of anisotropic critical behavior of cubic ferromagnets in physical and computer experiments is entirely possible.

AB - It is known that critical ﬂuctuations can change the eﬀective anisotropy of a cubic ferromagnet near the Curie point. If the crystal undergoes a phase transition into the orthorhombic phase and the initial anisotropy is not too strong, then the eﬀective anisotropy acquires the universal value A∗ = v∗/u∗ at Tc, where u∗ and v∗ are the coordinates of the cubic ﬁxed point of the renormalization group equations in the scaling equation of state and expressions for nonlinear susceptibilities. Using the pseudo-epsilon-expansion method, we ﬁnd the numerical value of the anisotropy parameter A at the critical point. Pad´e resummation of the six-loop pseudo-epsilon-expansions for u∗, v∗, and A∗ leads to the estimate A∗ =0 .13 ± 0.01, giving evidence that observation of anisotropic critical behavior of cubic ferromagnets in physical and computer experiments is entirely possible.

KW - кубическая модель

KW - эффективная анизотропия

KW - ренормализационная группа

KW - ϵ-разложение

KW - псевдо-ϵ-разложение.

U2 - 10.1134/S0040577917020106

DO - 10.1134/S0040577917020106

M3 - Article

VL - 190

SP - 295

EP - 302

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -

ID: 7736041