Critical phenomena in the two-dimensional <i>XY</i> magnet Fe(100) on W(100)

Elmers, H. J.; Hauschild, J.; Liu, G. H.; Gradmann, U.

doi:10.1063/1.361923

Cited by 36 publications

(30 citation statements)

References 25 publications

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“…This leaves only studies of Fe/W(001) films. 11,32 Investigations of the effective critical exponent β ef f of the magnetization between T KT and T C (L) report a value of 0.22 ± 0.03, in agreement with the prediction for a finite-size KT transition. 6 A single measurement of the susceptibility of Fe/W(001) has been published.…”

Section: Discussionsupporting

confidence: 79%

“…6 A single measurement of the susceptibility of Fe/W(001) has been published. 11 The shape of the peak is very similar to the type I measurements presented here, but the analysis performed on this data using KT theory is problematic. The comparison to a second-order transition, yields a value of γ ≈ 5.…”

Section: Discussionsupporting

confidence: 66%

“…To our knowledge, there is one published measurement of the susceptibility of a candidate ferromagnetic ultrathin film 2DXY system, and this is also for Fe/W(001). 11 This measurement was made as the difference of magnetization curves in which a slightly different d.c. magnetic field is applied. The high temperature tail of the curve was compared to the predictions of finite-size KT theory, but the result is inconclusive.…”

Section: Introductionmentioning

confidence: 99%

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Finite-size Kosterlitz-Thouless transition in 2DXY Fe/W(001) ultrathin films

et al. 2019

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Magnetic susceptibility measurements of 3-4 ML Fe/W(001) ferromagnetic films demonstrate that this is a 2DXY system in which a finite-size Kosterlitz-Thouless (KT) transition occurs. The films are grown in ultrahigh vacuum and their magnetic response is measured using the magneto-optic Kerr effect (MOKE). The analysis of many independently grown films shows that the paramagnetic tail of the susceptibility is described by χ(T ) = χ0 exp B/(T /TKT − 1) a , where a = 0.50 ± 0.03 and B = 3.48 ± 0.16, in quantitative agreement with KT theory. Below the finite-size transition temperature TC (L), the behaviour is complicated by dissipation (likely related to the re-emergence of four-fold anisotropy and magnetic domains). A subset of measurements with very small dissipation most closely represents the idealized system treated by theory. For these measurements, there is a temperature interval of order tens of K between the fitted Kosterlitz-Thouless transition temperature and the finite-size transition temperature, in agreement with theory. The normalized interval TC (L)/TKT − 1 = 0.065 ± 0.016 yields an estimate of the finite size L affecting the film of order micrometers. This gives experimental support to the idea that even a mesoscopic limitation of the vortex-antivortex gas results in a substantial finite-size effect at the KT transition. In contrast, fitting the paramagnetic tail to a power law, appropriate to a second order critical transition, gives unphysical parameters. The effective critical exponent γ ef f ≈ 3.7 ± 0.7 does not correspond to a known universality class, and the fitted transition temperature, Tγ, is much further below the peak in the susceptibility than is physically reasonable. * [corresponding author] venus@physics.mcmaster.ca 1 V. L. Berezinskii, Sov. Phys. -JEPT 32, 493 (1971).

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Section: Discussionsupporting

confidence: 79%

Section: Discussionsupporting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

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Finite-size Kosterlitz-Thouless transition in 2DXY Fe/W(001) ultrathin films

et al. 2019

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“…Physical realizations include various two-dimensional (2D) systems, such as superfluid helium films [3], liquid crystals [4], superconducting (SC) films and Josephsonjunction arrays [5], magnetic films [6], and ultracold atoms [7]. Such 2D systems exhibit a phase transition at a critical temperature T BKT = 0, driven by the Berezinskii-Kosterlitz-Thouless (BKT) mechanism [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Evidence for correlated dynamics near the Berezinskii-Kosterlitz-Thouless-like transition in highly underdopedLa2−xSrxCuO4

Shi¹,

Shi²,

Popović³

2016

Phys. Rev. B

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“…The critical analysis of the internal paramagnetic susceptibility pm (T)ϭ 1,pm Ј (T) according to Eq. ͑1͒ yields a 2D Ising-like critical exponent ␥ ϭ1.72 (18) above the Curie temperature T C ϭ304.75 (15) K. This value of T C was determined independently by the onset of the absorption signal 1 Љ(T) and is used in the following considerations.…”

Section: Methodsmentioning

confidence: 99%

Higher harmonics of theacsusceptibility: Analysis of hysteresis effects in ultrathin ferromagnets

et al. 2004

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The initial ac susceptibility is used to monitor the higher harmonic susceptibilities n (T, 0 ) as a function of temperature. To our knowledge, for the first time we present n (T, 0 ) up to nϭ11 for a (Fe 2 /V 5 ) 50 superlattice in the ultrathin-film limit. A detailed analysis of n (T, 0 ) yields the full temperature-dependent hysteresis loops, including the coercive field H C (T) and the saturation magnetization M S (T), with high accuracy close to the Curie temperature T C . We show that this type of analysis allows for an independent determination of T C . In addition, the n (T, 0 ) are calculated in the framework of a mean-field theory which compares well with the experimental data.

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Critical phenomena in the two-dimensional XY magnet Fe(100) on W(100)

Abstract: Magnetization of twodimensional XY magnets with symmetry breaking fields: Relevance to ultrathin magnetic films (abstract)

Cited by 36 publications

References 25 publications

Finite-size Kosterlitz-Thouless transition in 2DXY Fe/W(001) ultrathin films

Finite-size Kosterlitz-Thouless transition in 2DXY Fe/W(001) ultrathin films

Evidence for correlated dynamics near the Berezinskii-Kosterlitz-Thouless-like transition in highly underdopedLa2−xSrxCuO4

Higher harmonics of theacsusceptibility: Analysis of hysteresis effects in ultrathin ferromagnets

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