Fulde-Ferrell Effect in Type-II Superconductors

Gruenberg, Leonard; Gunther, Leon

doi:10.1103/physrevlett.16.996

Cited by 289 publications

(253 citation statements)

References 6 publications

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“…Through previous MF works on the vortex states of superconductors with paramagnetic depairing [10,11,12], however, one notices that even the H-T phase diagram in the MF approximation is an unsettled issue. For instance, a FOT induced by the spin depairing was expected through a calculation in dirty limit [12], to the best of our knowledge, contrary to the experimental facts.…”

Section: Introductionmentioning

confidence: 99%

Effects of Pauli paramagnetism on the superconducting vortex phase diagram in strong fields

2003

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The Ginzburg-Landau (GL) functional and the resultant phase diagram of quasi two-dimensional superconductors in strong fields perpendicular to the layers, where the Pauli paramagnetic depairing is not negligible, are examined in details by assuming the weak coupling BCS model with a d x 2 −y 2 -like pairing. It is found that the temperature at which the mean field (MF) transition at Hc2 changes into a discontinuous one lies much above another temperature at which a line HFFLO(T ) of transition to a helical FFLO-like vortex solid may begin to appear. In addition to MF results, details of a real phase diagram near Hc2(T )-line are examined based on a theoretical argument and Monte Carlo simulations, and it is found that the MF discontinuous transition is changed due to the fluctuation into a crossover which is nearly discontinuous in systems with weak enough fluctuation. These results are consistent both with the MF discontinuous behavior and a suggestion of HFFLO(T ) in the heavy fermion superconductor CeCoIn5 with weak fluctuation and with their absence in cuprate and organic superconductors with strong fluctuation.

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Section: Introductionmentioning

confidence: 99%

Effects of Pauli paramagnetism on the superconducting vortex phase diagram in strong fields

2003

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“…The high-field FFLO phase was originally suggested for superconductors with ferromagnetically aligned impurities, 1,2 but it was soon realized that a FFLO state should develop in superconductors in an external field if the Zeeman coupling dominates the orbital coupling. 3,4,5 A number of layered organic superconductors have been suggested as candidates for FFLO phases. 6,7,8,9,10,11 However, recent interest has focussed on the heavyfermion material CeCoIn 5 .…”

Section: Introductionmentioning

confidence: 99%

“…3,4,5 A number of layered organic superconductors have been suggested as candidates for FFLO phases. 6,7,8,9,10,11 However, recent interest has focussed on the heavyfermion material CeCoIn 5 . 12 This material has quasitwo-dimensional (2D) metallic planes, and shows evidence of unconventional, d-wave, superconductivity 13,14 with a transition temperature of T c = 2.3 K. The quasi-2D tetragonal crystal structure consists of alternating of CeIn 3 and CoIn 2 .…”

Section: Introductionmentioning

confidence: 99%

Phase diagram and spectroscopy of Fulde-Ferrell-Larkin-Ovchinnikov states of two-dimensionald-wave superconductors

2005

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Experimental evidence suggests that the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state may be realized in the unconventional, heavy-fermion superconductor CeCoIn5. We present a self-consistent calculation of the field versus temperature phase diagram and order parameter structures for the FFLO states of quasi-two-dimensional d-wave superconductors. We calculate the spatially nonuniform order parameter, free energy density, and local density of states for magnetic fields parallel to the superconducting planes. We predict that the lower critical magnetic field transition between the spatially uniform and nonuniform FFLO state is second order. We discuss the signatures of the nonuniform FFLO state which should be observable in scanning tunneling microscopy measurements of the local density of states.

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“…In the FFLO state, pair-breaking due to the Pauli paramagnetic effect is reduced by the formation of a new pairing state (k↑, −k + q↓) with |q| ∼ 2µ B H/ v F (v F is the Fermi velocity) between the Zeeman split parts of the Fermi surface, instead of (k↑, −k↓)-pairing in ordinary BCS superconductors. A fascinating aspect of the FFLO state is that an inhomogeneous superconducting phase with a spatially oscillating order parameter ∆(r)= ∆ 0 cos(q·r) and spin polarization shows up in the vicinity of the upper critical field H c2 [1,2,3,4,5,6,7,8,9,10,11]. It has been shown that in the presence of a substantial orbital effect, 2D planar nodes appear periodically perpendicular to the Abrikosov vortex lattice.…”

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confidence: 99%

Fulde-Ferrell-Larkin-Ovchinnikov State in a Perpendicular Field of Quasi-Two-DimensionalCeCoIn5

et al. 2006

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A Fulde-Ferrell-Larkin-Ovchinnkov (FFLO) state was previously reported in the quasi-2D heavy fermion CeCoIn5 when a magnetic field was applied parallel to the ab-plane. Here, we conduct 115 In NMR studies of this material in a perpendicular field, and provide strong evidence for FFLO in this case as well. Although the topology of the phase transition lines in the H-T phase diagram is identical for both configurations, there are several remarkable differences between them. Compared to H ab, the FFLO region for H ⊥ ab shows a sizable decrease, and the critical field separating the FFLO and non-FFLO superconducting states almost ceases to have a temperature dependence. Moreover, directing H ⊥ ab results in a notable change in the quasiparticle excitation spectrum within the planar node associated with the FFLO transition.

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Fulde-Ferrell Effect in Type-II Superconductors

Cited by 289 publications

References 6 publications

Effects of Pauli paramagnetism on the superconducting vortex phase diagram in strong fields

Effects of Pauli paramagnetism on the superconducting vortex phase diagram in strong fields

Phase diagram and spectroscopy of Fulde-Ferrell-Larkin-Ovchinnikov states of two-dimensionald-wave superconductors

Fulde-Ferrell-Larkin-Ovchinnikov State in a Perpendicular Field of Quasi-Two-DimensionalCeCoIn5

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