Dynamic formation of metastable intermediate state patterns in type-I superconductors

Prozorov, Ruslan; Hoberg, Jacob R.

doi:10.1088/1742-6596/150/5/052217

Cited by 7 publications

(10 citation statements)

References 10 publications

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“…This permits to combine a coarse pattern in the interior with an induced magnetic field ∇ × A almost aligned with B ext at the surface, see Figure 1 for a sketch. Experimentally, this is manifested by complex patterns observed at the surface of the sample [Pro07,PGPP05,PHC08,PH09]. This phenomenon of domain branching occurs also in other areas of materials science, as for example ferromagnetic materials, where the magnetization pattern is constrained to oscillate between two opposite vectors [Lif44,Hub67], and in shape-memory alloys, where the strain can oscillate between finitely many values, corresponding to the different martensitic variants.…”

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors

Conti¹,

Otto²,

Serfaty³

2016

SIAM J. Math. Anal.

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Abstract. We consider the Ginzburg-Landau energy for a type-I superconductor in the shape of an infinite three-dimensional slab, with two-dimensional periodicity, with an applied magnetic field which is uniform and perpendicular to the slab. We determine the optimal scaling law of the minimal energy in terms of the parameters of the problem, when the applied magnetic field is sufficiently small and the sample sufficiently thick. This optimal scaling law is proven via ansatz-free lower bounds and an explicit branching construction which refines further and further as one approaches the surface of the sample. Two different regimes appear, with different scaling exponents. In the first regime, the branching leads to an almost uniform magnetic field pattern on the boundary; in the second one the inhomogeneity survives up to the boundary.

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Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors

Conti¹,

Otto²,

Serfaty³

2016

SIAM J. Math. Anal.

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“…[3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. For further background we refer the reader to several books and reviews.…”

Section: Introductionmentioning

confidence: 99%

Equilibrium intermediate-state patterns in a type-I superconducting slab in an arbitrarily oriented applied magnetic field

Clem

Prozorov²,

Wijngaarden³

2013

Phys. Rev. B

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The equilibrium topology of superconducting and normal domains in flat type-I superconductors is investigated. Important improvements with respect to previous work are: (1) the energy of the external magnetic field, as deformed by the presence of superconducting domains, is calculated in the same way for three different topologies, and (2) calculations are made for arbitrary orientation of the applied field. A phase diagram is presented for the minimum-energy topology as a function of applied field magnitude and angle. For small (large) applied fields normal (superconducting) tubes are found, while for intermediate fields parallel domains have a lower energy. The range of field magnitudes for which the superconducting-tubes structure is favored shrinks when the field is more in-plane oriented.

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“…The domain structure of type-I superconductors was found to depend on the magnetic history. In series of papers Prozorov et al [47][48][49] have shown that based on the way of how the final B − T point is reached, different types of domain structures might be realized. In order to check the influence of the magnetic history on the TF-µSR response, several B − T points approached by different measurement schemes were examined.…”

Section: Magnetic History Effectsmentioning

confidence: 99%

Muon spin rotation study of type-I superconductivity: Elemental β -Sn

et al. 2019

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The application of the muon-spin rotation/relaxation (µSR) technique for studying type-I superconductivity is discussed. In the intermediate state, i.e. when a type-I superconducting sample with non-zero demagnetization factor N is separated into normal state and Meissner state (superconducting) domains, the µSR technique allows to determine with very high precision the value of the thermodynamic critical field Bc, as well as the volume of the sample in the normal and the superconducting state. Due to the microscopic nature of µSR technique, the Bc values are determined directly via measurements of the internal field inside the normal state domains. No assumptions or introduction of any type of measurement criteria are needed.Experiments performed on a 'classical' type-I superconductor, a cylindrically shaped β−Sn sample, allowed to reconstruct the full B − T phase diagram. The zero-temperature value of the thermodynamic critical field Bc(0) = 30.578(6) mT and the transition temperature Tc = 3.717(3) K were determined and found to be in a good agreement with the literature data. An experimentally obtained demagnetization factor is in very good agreement with theoretical calculations of the demagnetization factor of a finite cylinder. The analysis of Bc(T ) dependence within the framework of the phenomenological α−model allow to obtain the value of the superconducting energy gap ∆ = 0.59(1) meV, of the electronic specific heat γe = 1.781(3) mJ/mol K 2 and of the jump in the heat capacity ∆C(Tc)/γTc = 1.55(2).

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Dynamic formation of metastable intermediate state patterns in type-I superconductors

Cited by 7 publications

References 10 publications

Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors

Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors

Equilibrium intermediate-state patterns in a type-I superconducting slab in an arbitrarily oriented applied magnetic field

Muon spin rotation study of type-I superconductivity: Elemental β -Sn

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