Fermion analogy for layered superconducting films in parallel magnetic field

Rodriguez, J. P.

doi:10.1209/epl/i1997-00538-7

Cited by 5 publications

(19 citation statements)

References 22 publications

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“…Here, the resulting logarithmically divergent integral (41) has been cut off by the London penetration length, λ L , which is taken to be the natural infrared scale. Also, the condensation energy in the absence of parallel field is then given by the zero-temperature result, Eq.…”

Section: Model (1)mentioning

confidence: 99%

Theory of decoupling in the mixed phase of extremely type-II layered superconductors

Rodriguez

2000

Phys. Rev. B

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The mixed phase of extremely type-II layered superconductors in perpendicular magnetic field is studied theoretically via the layered XY model with uniform frustration. A partial duality analysis is carried out in the weak-coupling limit. It consistently accounts for both intra-layer (pancake) and inter-layer (Josephson) vortex excitations. The main conclusion reached is that dislocations of the two-dimensional (2D) vortex lattices within layers drive a unique second-order melting transition at high perpendicular fields between a low-temperature superconducting phase that displays a Josephson effect and a hightemperature "normal" phase that displays no Josephson effect. The former state is best described by weakly coupled 2D vortex lattices, while the latter state is best characterized by a decoupled vortex liquid. It is further argued on the basis of the duality analysis that the second-order melting transition converts itself into a first-order one as the perpendicular field is lowered and approaches the dimensional cross-over scale. The resulting critical endpoint potentially accounts for the same phenomenon that is observed in the mixed phase of clean high-temperature superconductors.

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Section: Model (1)mentioning

confidence: 99%

Theory of decoupling in the mixed phase of extremely type-II layered superconductors

Rodriguez

2000

Phys. Rev. B

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“…On the other hand, the product e exc = c † x 1 ,s 1 c x 2 +q,s 2 · c † x 2 ,s 2 c x 1 −q,s 1 that appears in expression (13) for the exchange Coulomb energy can be obtained from the direct term…”

Section: Mean-field Theory: Cdw Versus Sdwmentioning

confidence: 99%

“…We believe this not to be the case, however, for the following reasons. It can be easily shown that a meanfield analysis 13…”

Section: Antiferromagnetic Wigner Crystal Proposalmentioning

confidence: 99%

“…L.B. was supported in part by the Spanish Ministry for Education and Culture under contract # PB 960085. that appear in expressions(12) and(13) for the direct and exchange contributions to the Coulomb interaction energy. Substitution of the prior result (A5) into (A8), for example, yields the expression…”

mentioning

confidence: 99%

“…Eqs. (12) and (13) indicate that the essential object in the evaluation of the Coulomb energy (2) with respect to the CDW/SDW groundstate [Eqs. (4) and (5)] is the particlehole expectation value…”

mentioning

confidence: 99%

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Wigner crystal state for the edge electrons in the quantum Hall effect at fillingν=2

2000

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The electronic excitations at the edges of a Hall bar not much wider than a few magnetic lengths are studied theoretically at filling ν = 2. Both mean-field theory and Luttinger liquid theory techniques are employed for the case of a null Zeeman energy splitting. The first calculation yields a stable spin-density wave state along the bar, while the second one predicts dominant Wigner-crystal correlations along the edges of the bar. We propose an antiferromagnetic Wigner-crystal groundstate for the edge electrons that reconciles the two results. A net Zeeman splitting is found to produce canting of the antiferromagnetic order.

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Critical behavior of layered superconducting films in a parallel magnetic field

Rodriguez

1998

Phys. Rev. B

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The equilibrium magnetization for layered superconducting films that experience a nonzero component H ʈ of magnetic field applied parallel to the layers is computed at temperatures and at perpendicular field components in the vicinity of the decoupling transition. A fermion analogy is exploited for this purpose, whereby it is found that the parallel magnetization shows an anomalous H ʈ Ϫ1 tail at high fields due to entropic fluctuations of the ͑parallel͒ lattice of Josephson vortices. A collective pinning effect is also identified for c-axis transport limited by a single planar defect oriented parallel to both c and to the applied magnetic field.

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Fermion analogy for layered superconducting films in parallel magnetic field

Cited by 5 publications

References 22 publications

Theory of decoupling in the mixed phase of extremely type-II layered superconductors

Theory of decoupling in the mixed phase of extremely type-II layered superconductors

Wigner crystal state for the edge electrons in the quantum Hall effect at fillingν=2

Critical behavior of layered superconducting films in a parallel magnetic field

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