Fluctuation induced first order phase transition in thin films of type I superconductors

Folk, R.; Shopova, D. V.; Uzunov, Dimo I.

doi:10.1016/s0375-9601(01)00126-8

Cited by 16 publications

(70 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[6]), is also calculated for the first time in the present investigation. As we shall see, the ρ 0 − contribution tob is small (∼ 0.1b) for 3D-systems, but it becomes relatively bigger (∼ b) in quasi-2D films [2] and generally cannot be omitted. In all other respects the Eqs.…”

Section: Model and Resultsmentioning

confidence: 80%

“…This is so because of the weakness of the HLM effect for 3D. As pointed out in a recent study [2,7], the same effect is much better pronounced in quasi-2D Al and, therefore, transport experiments in such films could be successful.…”

Section: Model and Resultsmentioning

confidence: 94%

“…The integration of the vector potential fluctuations δ A( x) in the partition function is made with the help of a loop-like expansion [2]. The next step is the accomplishment of the Landau expansion of the free energy in power series of the magnitude |ψ 0 | of the order parameter ψ 0 .…”

Section: Model and Resultsmentioning

confidence: 99%

See 2 more Smart Citations

ABOUT THE MAGNETIC FLUCTUATION EFFECT ON THE PHASE TRANSITION TO SUPERCONDUCTING STATE IN Al

et al. 2002

View full text Add to dashboard Cite

show abstract

Section: Model and Resultsmentioning

confidence: 80%

Section: Model and Resultsmentioning

confidence: 94%

See 1 more Smart Citation

ABOUT THE MAGNETIC FLUCTUATION EFFECT ON THE PHASE TRANSITION TO SUPERCONDUCTING STATE IN Al

et al. 2002

View full text Add to dashboard Cite

show abstract

“…Note, that the gauge fields (the Chern-Simons field and the vector potential of the magnetic field) cause other fluctuation effects (see, e.g., Ref. [1,202,203]) that additionally lead to an instability of RG FPs. Thus one cannot easily distinguish between the effects producing the instability of the quantum critical behaviour within the framework of the complete CSGL theory.…”

Section: Disorder In Quantum Hall Liquidsmentioning

confidence: 99%

Some basic aspects of quantum phase transitions

Shopova

Uzunov

2003

Physics Reports

View full text Add to dashboard Cite

Several basic problems of the theory of quantum phase transitions are reviewed. The effect of the quantum correlations on the phase transition properties is considered with the help of basic models of statistical physics. The effect of quenched disorder on the quantum phase transitions is also discussed. The review is performed within the framework of the thermodynamic scaling theory and by the most general methods of statistical physics for the treatment of phase transitions: general lengthscale arguments, exact solutions, mean field approximation, Hubbard-Stratonovich transformation, Feynman path integral approach, and renormalization group in the field theoretical variant. Some new ideas and results are presented. Outstanding theoretical problems are mentioned.

show abstract

“…Recently, the mentioned effect has been studied in the context of type-I superconducting films [4,5,6,7,8]. In particular, Refs.…”

mentioning

confidence: 99%

Halperin–Lubensky–Ma effect in type-I superconducting films

Abreu

Calan

Malbouisson³

2004

Physics Letters A

View full text Add to dashboard Cite

In this note we employ concurrently techniques of generalized zeta-functions and compactification methods introduced in previous publications, to study the Halperin-Lubensky-Ma theory of induced weak first-order phase transitions applied to type-I superconducting films. We obtain closed formulas to the critical temperature and to the size temperature as functions of the film thickness. PACS number(s): 74.20.-z, 05.10Cc, 11.25.Hf Keywords: superconductivity, superconducting filmsThe Halperin-Lubensky-Ma (HLM) effect appeared about three decades ago [1]. It predicts a weak first-order phase transition in superconductors. This fact emerges by considering in the Ginzburg-Landau (GL) model the interaction between the intrinsic magnetic fluctuations and the order parameter. More generally, all the physical systems that are described by the Abelian-Higgs model present this phenomenon. Some examples are: the nematic-smectic A phase transition in liquid crystals [1,2], with the interaction between the smectic scalar order parameter and the vector director; the massless scalar electrodynamics in field theory [3], which presents the gauge field acquiring mass as an effect of its coupling with the scalar field.However, the size temperature associated to the HLM effect was determined to be too small which makes it very difficult to be detected experimentally. Recently, the mentioned effect has been studied in the context of type-I superconducting films [4,5,6,7,8]. In particular, Refs. [4,5,6] suggest the enhancement of first-order transition in superconducting films with respect to that in bulk materials, which at least qualitatively is corroborated in Ref. [8].In order to have a better understanding of HLM effect in films, in this note we extend some questions raised in Ref. [8]. In a field theoretical approach, we consider the GL model submitted to confinement between two planes a distance L apart from one another. This is done using a spatial compactification formalism presented in recent works [9,10,11,12,13]. Physically, for dimension d = 3, L corresponds to the thickness of a film-like superconducting material. We take into account the gauge fluctuations in absence of external magnetic field, and in the approximation of uniform order parameter ψ (x) = const. We investigate the critical behavior of the system as a function of the film thickness L, and in particular we focus on the L-dependence of the interesting thermodynamical quantities, as well as we discuss the plausibility of the presented results.Let us consider the Hamiltonian density of the GL model in Euclidean d-dimensional space,where ψ = ψ (x) is a complex field, and m 2 0 is the bare mass and A µ = A µ (x) (µ, ν = 1...d) is the gauge field. Notice that we are working in the mean field convention [14]. Accordingly, we use natural units (h = c = 1), and employ ξ 0 (the intrinsic coherence length) and K B T 0 (T 0 corresponds to the bulk mean field transition temperature), as length and energy scales, respectively. The fields and coordinates are rescaled byTh...

show abstract

Fluctuation induced first order phase transition in thin films of type I superconductors

Cited by 16 publications

References 17 publications

ABOUT THE MAGNETIC FLUCTUATION EFFECT ON THE PHASE TRANSITION TO SUPERCONDUCTING STATE IN Al

ABOUT THE MAGNETIC FLUCTUATION EFFECT ON THE PHASE TRANSITION TO SUPERCONDUCTING STATE IN Al

Some basic aspects of quantum phase transitions

Halperin–Lubensky–Ma effect in type-I superconducting films

Contact Info

Product

Resources

About