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Paget, K. M.; Boyce, B.; Lemberger, Thomas R.

doi:10.1103/physrevb.59.6545

Cited by 23 publications

(27 citation statements)

References 34 publications

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“…As in the experiments in Ref. 10, the penetration depth λ = m −1 γ we measured in our simulations was apparently obeying the mean-field scaling ν ′ = 1/2, but it became consistent with the inverted XY behaviour A γ /A T = 2 when (β − β c )/β c < ∼ 0.002.…”

Section: Discussionsupporting

confidence: 67%

“…4 and observed experimentally in Ref. 10. However, as we already argued in Section VII, the scaling law Eq.…”

Section: Photon Massmentioning

confidence: 61%

“…They also disagree with the results of superconductor experiments. 9,10 XY: symmetric κ < κc critical κ = κc XY: broken κ > κc FZS: superconducting β > βc β = βc FZS: Coulomb β < βc…”

Section: Phase Structurementioning

confidence: 99%

“…0.5. 10 Similarly, it has turned out to be difficult to confirm the duality in Monte Carlo simulations of the GinzburgLandau theory away from the London limit, 11 as they also seem to favour ν ′ ≈ 0.3. In the London limit, where the duality is on a firmer footing, 12,13 simulations 14,15 give ν ′ ≈ 0.67 through indirect measurements, though.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of duality and universality in a frozen superconductor

Neuhaus¹,

Rajantie

Rummukainen

2003

Phys. Rev. B

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The three-dimensional integer-valued lattice gauge theory, which is also known as a "frozen superconductor," can be obtained as a certain limit of the Ginzburg-Landau theory of superconductivity, and is believed to be in the same universality class. It is also exactly dual to the three-dimensional XY model. We use this duality to demonstrate the practicality of recently developed methods for studying topological defects, and investigate the critical behaviour of the phase transition using numerical Monte Carlo simulations of both theories. On the gauge theory side, we concentrate on the vortex tension and the penetration depth, which map onto the correlation lengths of the order parameter and the Noether current in the XY model, respectively. We show how these quantities behave near the critical point, and that the penetration depth exhibits critical scaling only very close to the transition point. This may explain the failure of superconductor experiments to see the inverted XY model scaling.

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Section: Discussionsupporting

confidence: 67%

“…4 and observed experimentally in Ref. 10. However, as we already argued in Section VII, the scaling law Eq.…”

Section: Photon Massmentioning

confidence: 61%

Section: Phase Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical study of duality and universality in a frozen superconductor

Neuhaus¹,

Rajantie

Rummukainen

2003

Phys. Rev. B

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“…A scaling that deserves some experimental attention is the Kleinert scaling 8 which is characterized by the exact value ν ′ = 1/2 of penetration depth exponent. This scaling seems to be verified in two experiments using thin films of YBCO at optimal doping 14,15 . At optimal doping 3d fluctuations are still dominant even in thin films of YBCO and a three-dimensional model is still relevant.…”

Section: Introductionmentioning

confidence: 68%

Scaling and Duality in the Superconducting Phase Transition

Nogueira

2001

Fluctuating Paths and Fields

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Superfluid fraction of a charged boson fluid at non‐integer dimensions and superconducting films

Kim

Nahm

2003

Physica Status Solidi (b)

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The superfluid fraction of a charged boson fluid at non-integer dimensions between 2 and 3 is studied. Interaction between particles is assumed to be Coulombic, and Bogoliubov approximation is applied for a weak coupling regime. The theoretical results are compared with the superfluid densities of superconducting films, showing an universal splitting behavior. The qualitative similarity between the charged boson fluid and the superconducting films gives a strong clue for the origin of the universality observed in the superconducting films.

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Absence of three-dimensionalXYbehavior in the magnetic penetration depth ofYBa2Cu3O<

Cited by 23 publications

References 34 publications

Numerical study of duality and universality in a frozen superconductor

Numerical study of duality and universality in a frozen superconductor

Scaling and Duality in the Superconducting Phase Transition

Superfluid fraction of a charged boson fluid at non‐integer dimensions and superconducting films

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