Dynamical universality classes of the superconducting phase transition

Lidmar, Jack; Wallin, Mats; Wengel, Carsten; Girvin, S. M.; Young, A. P.

doi:10.1103/physrevb.58.2827

Cited by 41 publications

(60 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our analysis implies that z = 3/2 exactly, therefore confirming the result given by the Monte Carlo simulations of Ref. 6, and the experimental value of Ref. 9.…”

Section: B Critical Dynamics Of the Dual Modelsupporting

confidence: 90%

Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors

Nogueira

Manske

2005

Phys. Rev. B

View full text Add to dashboard Cite

The critical dynamics of superconductors is studied using renormalization group and duality arguments. We show that in extreme type II superconductors the dynamic critical exponent is given exactly by z = 3/2. This result does not rely on the widely used models of critical dynamics. Instead, it is shown that z = 3/2 follows from the duality between the extreme type II superconductor and a model with a critically fluctuating gauge field. Our result is in agreement with Monte Carlo simulations and at least one experiment.

show abstract

“…Our analysis implies that z = 3/2 exactly, therefore confirming the result given by the Monte Carlo simulations of Ref. 6, and the experimental value of Ref. 9.…”

Section: B Critical Dynamics Of the Dual Modelsupporting

confidence: 90%

Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors

Nogueira

Manske

2005

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…Renormalization calculations for the 3D-XY model supply the values ν=0.67 and η=0.03 [1]. Our result λ CR =0.32±0.08, implies that z = 1.5, which is in agreement with the model-E (dynamical universality class for the superfluid transition in 4 He and for extreme type II superconductors [10]). As shown in Fig.…”

Section: Resultssupporting

confidence: 73%

Pairing and coherence transition in La1.82Sr0.18CuO4 strongly two-dimensional superconductor

Roa-Rojas¹,

Téllez²,

Sarmiento³

2006

Braz. J. Phys.

View full text Add to dashboard Cite

We report conductivity fluctuation measurements in the La 1.82 Sr 0.18 CuO 4 high temperature superconducting material. The conductivity fluctuation analysis was performed by utilizing the concept of the logarithmic derivative of the conductivity excess. Close and above the critical temperature T c , we experimentally determine the occurrence of Gaussian and critical fluctuation regimes. Systematic measurements of conductivity as a function of temperature were performed for several values of transport current j. Fluctuation analysis close to the zero resistivity temperature T c0 was performed and we clearly identified a characteristic exponent, which is analyzed by the dynamical scaling theory and considering a percolation-like transition in a frustrated and disordered system. The observation of a glass-like behavior in our experiments permits to interpret our results as corresponding to a vortex-glass regime.

show abstract

“…(6) we get τ ∼ ξ 5/2 which at T c scales as L 5/2 . The dynamic exponent is z MC = 5/2, which is consistent with the computer simulation results [17]. Critical dynamics of the dipole gas model:-We will now derive the governing stochastic partial differential equation that describes the long wavelength critical dynamics of the superconductor.…”

supporting

confidence: 57%

“…In YBCO, however, the combination of a momentum sink arising from the lattice, and the Coulomb interaction destroying the longitudinal current fluctuations should lead to pure order parameter dynamics and a prediction that z ∼ 2 (model A dynamics). It is of course possible that some other mechanism can yield z ∼ 1.5.To shed light on these issues the critical dynamics was investigated numerically by performing a Monte Carlo calculation of z for the 3-dimensional XY model, in the vortex representation (the so-called Villain model [16]), with and without magnetic screening [17]. The spin wave degrees were replaced by discrete vortex variables and the dynamics imposed was dissipative.…”

mentioning

confidence: 99%

“…To shed light on these issues the critical dynamics was investigated numerically by performing a Monte Carlo calculation of z for the 3-dimensional XY model, in the vortex representation (the so-called Villain model [16]), with and without magnetic screening [17]. The spin wave degrees were replaced by discrete vortex variables and the dynamics imposed was dissipative.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Critical Dynamics of a Vortex-Loop Model for the Superconducting Transition

Aji

Goldenfeld

2001

Phys. Rev. Lett.

View full text Add to dashboard Cite

We calculate analytically the dynamic critical exponent zMC measured in Monte Carlo simulations for a vortex loop model of the superconducting transition, and account for the simulation results. In the weak screening limit, where magnetic fluctuations are neglected, the dynamic exponent is found to be zMC = 3/2. In the perfect screening limit, zMC = 5/2. We relate zMC to the actual value of z observable in experiments and find that z ∼ 2, consistent with some experimental results.PACS Numbers: 05.70.Jk, 74.40.+k, 75.40.Gb, 75.40.Mg The discovery of the short coherence length cuprate superconductors has allowed heretofore inaccessible fluctuation effects in superconductors to be probed. Beginning with the penetration depth measurements of Kamal et al. [1], and including measurements of magnetic susceptibility [2,3], resistivity [3,4] and specific heat [5], static and dynamic fluctuation effects have been convincingly observed and accurately quantified. These measurements are consistent with the theory of a strongly type-II superconductor, with a weak coupling of the order parameter to the electromagnetic field, described by the 3D XY model coupled to a gauge field [6].The dynamic critical exponent, z, characterizes the relaxation to equilibrium of fluctuations in the critical regime of systems exhibiting a second order phase transition [7,8]. In particular it relates the time scale of relaxation, τ , to a relevant length scale, x: τ ∼ x z . For infinite systems x is the correlation length, ξ. Near the critical point, the correlation length diverges and the relaxation time tends to infinity, a phenomenon known as critical slowing down. In finite size scaling studies, x is identified as the system size L.The dynamic critical exponent, obtained from the measurement of longitudinal dc-resistivity for YBCO is z = 1.5 ± 0.1 in finite but small magnetic fields [9]. Similar results were reported for the zero-field DC conductivity [10,11]. Frequency dependent microwave conductivity experiments yield z ∼ 2.3 − 3.0 [12]. On reanalysis it was found that the data were consistent with z ∼ 2 provided one neglected the region close to T c [13]. Moloni et al. obtained z = 1.25 ± 0.05 at low magnetic fields [14], but a later, more complicated analysis by these authors gave z = 2.3 ± 0.2. More recently, DC conductivity measurements on single crystal BSCCO samples were interpreted to give evidence for z ∼ 2 [15]. In summary, experiments do not yet yield a consistent picture of the critical dynamics.If the dynamic exponent were indeed z ∼ 1.5 , then this would be surprising. Precisely this value is obtained for the superfluid transition in He 4 where the combination of second sound (a propagating mode, therefore z = 1) and order parameter dynamics (diffusive, therefore z ∼ 2) lead to z = 3/2 (model E dynamics) [7]. In YBCO, however, the combination of a momentum sink arising from the lattice, and the Coulomb interaction destroying the longitudinal current fluctuations should lead to pure order parameter dynamics and a prediction t...

show abstract

Dynamical universality classes of the superconducting phase transition

Cited by 41 publications

References 35 publications

Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors

Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors

Pairing and coherence transition in La1.82Sr0.18CuO4 strongly two-dimensional superconductor

Critical Dynamics of a Vortex-Loop Model for the Superconducting Transition

Contact Info

Product

Resources

About