Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors

Affleck, Ian; Hofstetter, Walter; Nelson, David R.; Schollwöck, Ulrich

doi:10.1088/1742-5468/2004/10/p10003

Cited by 44 publications

(67 citation statements)

References 80 publications

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“…Non-hermitian quantum mechanical systems and defect conformal field theories have played an important role in condensed matter theory (for a recent example see [30]). …”

Section: Continuation To Timelike Signaturementioning

confidence: 99%

Remarks on the rolling tachyon BCFT

Gaberdiel

Gutperle

2005

J. High Energy Phys.

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“…Non-hermitian quantum mechanical systems and defect conformal field theories have played an important role in condensed matter theory (for a recent example see [30]). …”

Section: Continuation To Timelike Signaturementioning

confidence: 99%

Remarks on the rolling tachyon BCFT

Gaberdiel

Gutperle

2005

J. High Energy Phys.

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“…We assume high enough temperatures and sufficiently clean samples so that point disorder can be neglected. In a quantum analogy 2,3 , (see below), the spatial direction labelled by τ plays the role of imaginary time. We assume that overhangs are improbable, so the choice of a single valued function to describe a string-like flux line is adequate.…”

Section: Introductionmentioning

confidence: 99%

“…Considerable progress is possible theoretically in planar superconductors, when platelet samples are permeated by a single sheet of vortex lines due to a small in-plane magnetic field 2,3 . Related problems arise on vicinal surfaces, where thermally fluctuating step edges 4 can interact with scratches, grain boundaries or terraces created by lithography.…”

Section: Introductionmentioning

confidence: 99%

Vortex pinning by meandering line defects in planar superconductors

Katifori

Nelson

2006

Phys. Rev. B

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To better understand vortex pinning in thin superconducting slabs, we study the interaction of a single fluctuating vortex filament with a curved line defect in (1+1) dimensions. This problem is also relevant to the interaction of scratches with wandering step edges in vicinal surfaces. The equilibrium probability density for a fluctuating line attracted to a particular fixed defect trajectory is derived analytically by mapping the problem to a straight line defect in the presence of a space and time-varying external tilt field. The consequences of both rapid and slow changes in the frozen defect trajectory, as well as finite size effects are discussed. A sudden change in the defect direction leads to a delocalization transition, accompanied by a divergence in the trapping length, near a critical angle.

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“…Such an approach takes into account that the defect strength decreases as v(L) ∼ L 1−g and hence we obtain Eq. (9) with g replaced by 2g − 1 > 1, in close analogy to the (1 + 1)-dimensional counterpart [14,15,16]. If the defect plane is not parallel to the applied magnetic field, i.e.…”

mentioning

confidence: 99%

Effect of Planar Defects on the Stability of the Bragg Glass Phase of Type-II Superconductors

Emig

Nattermann

2006

Phys. Rev. Lett.

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It is shown that the Bragg glass phase can become unstable with respect to planar defects. A single defect plane that is oriented parallel to the magnetic field as well as to one of the main axis of the Abrikosov flux line lattice is always relevant, whereas we argue that a plane with higher Miller index is irrelevant, even at large defect potentials. A finite density of parallel defects with random separations can be relevant even for larger Miller indices. Defects that are aligned with the applied field restore locally the flux density oscillations which decay algebraically with distance from the defect. The current voltage relation is changed to ln V (J) ∼ −J −1 . The theory exhibits some similarities to the physics of Luttinger liquids with impurities.PACS numbers: 74.25. Qt, 61.72.Mm, 72.15.Rn Type-II superconductors have to contain a certain amount of disorder to sustain superconductivity: the disorder pins magnetic flux lines, hence preventing dissipation due to their motion [1,2]. For some time it was believed that disorder due to randomly distributed impurities destroys the long range translational order (LRO) of the Abrikosov flux line lattice [3]. More recently it was shown that the effect of impurities is much weaker resulting in a phase with quasi-LRO, the so-called Bragg glass [4,5,6,7]. In this phase the averaged flux line density is constant but a remnant of its periodic order is seen in the correlations of the oscillating part of the density which decay as a power law. Experimental signatures of this phase have been observed [8]. An important feature of the Bragg glass is the highly non-linear current-voltage relation related to the flux creep which is of the form ln V (J) ∼ −J −1/2 so that the linear resistance vanishes.Although much of the original transport data on flux creep in high-T c superconductors was discussed in terms of point disorder (see e.g. [9]) it was realized later that many samples included planar defects like twin planes or grain boundaries which masked the Bragg glass behavior [10]. Indeed, in clean samples planar defects lead to much more pronounced pinning phenomena than point disorder because of stronger spatial correlations [2,11]. However, the generic experimental situation is a mixture of point disorder and planar defects, a case which has not been studied theoretically in the context of the Bragg glass yet; see however [12,13].It is the aim of the present paper to consider exactly this case, i.e. the question of the influence of planar defects in the Bragg glass phase. Our key results are as follows: a necessary condition for a planar defect to become a relevant perturbation is that it is oriented parallel to the magnetic flux. In this case its influence on the Bragg glass phase can be characterized by the value of a single parameter g ≡ 3 8 η(a/ℓ) 2 which depends both on the exponent η describing the decay of the density correlations in the Bragg glass phase and on the orientation of the defect with respect to the flux line lattice. a and ℓ are the mean spacing of...

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Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors

Cited by 44 publications

References 80 publications

Remarks on the rolling tachyon BCFT

Remarks on the rolling tachyon BCFT

Vortex pinning by meandering line defects in planar superconductors

Effect of Planar Defects on the Stability of the Bragg Glass Phase of Type-II Superconductors

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