Exotic vortices for spiral-layered superconductors

Bi, Ivlev; Rs, Thompson

doi:10.1103/physrevb.44.12628

Cited by 9 publications

(13 citation statements)

References 14 publications

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“…Note that the A u field is generated not only by a nontrivial winding number n of the phase field, but also by a finite A z . In samples with infinite cross-sections one can choose dA z to be equal to an integer multiple of U 0 , as noted already by Ivlev and Thompson [16]. The crucial point, which has been overlooked in [17], is that in samples with a finite radius R satisfying Eq.…”

Section: Lawrence-doniach Formulation Of the Ivlev-thompson Problemmentioning

confidence: 94%

“…The key idea is based on the observation, due to Ivlev and Thompson [16], of nontrivial physics arising when the axis of a superconducting vortex in an anisotropic layered superconductor coincides with a c-axis screw dislocation. In that case the supercurrent, in addition to circulating on the scale k, also flows along the dislocation axis.…”

Section: Proposed Experimentsmentioning

confidence: 99%

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Magnitude of circulating vortex currents in the cuprates

Hlubina

2008

Physica C: Superconductivity

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Section: Lawrence-doniach Formulation Of the Ivlev-thompson Problemmentioning

confidence: 94%

Section: Proposed Experimentsmentioning

confidence: 99%

Magnitude of circulating vortex currents in the cuprates

Hlubina

2008

Physica C: Superconductivity

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“…Instead we have simply opted to fit our numerical data to a form inspired by the asymptotic analysis, Now let us examine the opposite limit of u → 0. In this case the electric-field screening length becomes long, and Ivlev et al 20 have proposed that this makes the smallu limit useful for modeling gapped superconductors. As already suggested the inequality of length scales, λ f ≥ λ µ implies that J * → J c .…”

Section: B Asymptotic Analysis Of the Interface Solutions: Preliminamentioning

confidence: 99%

Nucleation and growth of the superconducting phase in the presence of a current

et al. 1998

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We study the localized stationary solutions of the one-dimensional time-dependent Ginzburg-Landau equations in the presence of a current. These threshold perturbations separate undercritical perturbations which return to the normal phase from overcritical perturbations which lead to the superconducting phase. Careful numerical work in the small-current limit shows that the amplitude of these solutions is exponentially small in the current; we provide an approximate analysis which captures this behavior. As the current is increased toward the stall current J * , the width of these solutions diverges resulting in widely separated normal-superconducting interfaces. We map out numerically the dependence of J * on u (a parameter characterizing the material) and use asymptotic analysis to derive the behaviors for large u (J * ∼ u −1/4 ) and small u (J → Jc, the critical deparing current), which agree with the numerical work in these regimes. For currents other than J * the interface moves, and in this case we study the interface velocity as a function of u and J. We find that the velocities are bounded both as J → 0 and as J → Jc, contrary to previous claims.

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“…It has been suggested [1] that the vortex charge could change the sign of the Hall coefficient observed in cuprates [9] or result in structural transformations of the vortex lattice [10].In this paper we show that vortex charge can cause an intrinsic helical instability of a rectilinear vortex and a phase transition to a twisted vortex state. This instability is different from the helical instability of vortices driven by either currents flowing along the vortex line [12] or by screw dislocations [13] or twisted vortex states in rotating liquid He [14]. The buckling instability of vortices results from the Coulomb repulsion of charged pancake vortices which tend to shift away from the straight line along the c-axis as illustrated by Fig.…”

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confidence: 91%

Helical instability of charged vortices in layered superconductors

Gurevich

2010

Phys. Rev. B

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It is shown that the electric charge of vortices can result in a helical instability of straight vortex lines in layered superconductors, particularly Bi-based cuprates or organic superconductors. This instability may result in a phase transition to a uniformly twisted vortex state, which could be detected by torque magnetometry, neutron diffraction, electromagnetic or calorimetric measurements.PACS numbers: PACS numbers: 74.25. Bt, 74.25.Ha, 74.25.Qt Vortices in superconductors carry the quantized magnetic flux φ 0 = 2×10 −7 Oe·cm 2 resulting from the macroscopic phase coherence of superconducting state. Vortices also carry a non-quantized electric charge q caused by the suppression of superconductivity in the vortex core [1][2][3][4][5][6]. In low-T c s-wave superconductors this charge is usually negligible and does not manifest itself in the electromagnetic response of vortices driven by the Lorentz force of superconducting currents. However, the situation changes in superconductors with short coherence length ξ, low superfluid density and unconventional pairing symmetry combined with the competition of superconductivity with non-superconducting spin or charged ordered states, as characteristic of high-T c cuprates, recently discovered oxypnictides or organic superconductors [7]. For cuprates, theoretical estimates [1-4] predict a relatively large fraction ∼ 10 −3 of the electron charge e per each pancake vortex residing on the ab planes, yet even larger charge of different sign was observed by nuclear quadrupole resonance [8]. It has been suggested [1] that the vortex charge could change the sign of the Hall coefficient observed in cuprates [9] or result in structural transformations of the vortex lattice [10].In this paper we show that vortex charge can cause an intrinsic helical instability of a rectilinear vortex and a phase transition to a twisted vortex state. This instability is different from the helical instability of vortices driven by either currents flowing along the vortex line [12] or by screw dislocations [13] or twisted vortex states in rotating liquid He [14]. The buckling instability of vortices results from the Coulomb repulsion of charged pancake vortices which tend to shift away from the straight line along the c-axis as illustrated by Fig. 1. Such charge fragmentation is inhibited by the vortex line tension caused by weak magnetic and Josephson coupling of vortex pancakes [17,18], and also by charge screening, which confines the relative displacements of pancakes on neighboring ab planes within the Thomas-Fermi screening length λ T F . Thus, the helical instability would be most pronounced in layered materials with low vortex line tension and λ T F ∼ ξ, as characteristic of high-T c cuprates, ferropnictides or organic superconductors.To calculate properties of spiral vortices we write the excess linear charge ρ(r) in a vortex as followsHere the first term is the BCS contribution resulting from the change in the chemical potential µ around the core,1/2 is the modulus of the order param...

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Exotic vortices for spiral-layered superconductors

Cited by 9 publications

References 14 publications

Magnitude of circulating vortex currents in the cuprates

Magnitude of circulating vortex currents in the cuprates

Nucleation and growth of the superconducting phase in the presence of a current

Helical instability of charged vortices in layered superconductors

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