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Ikeda, Tôru; Miyazaki, Noriyuki

doi:10.2472/jsms.55.183

Cited by 6 publications

(20 citation statements)

References 22 publications

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“…As reported elsewhere [16], the second order transition on H FFLO (T ) occurs at lower temperatures than T 0 and decreases upon cooling, since, as mentioned at the end of sec.II, the paramagnetic depairing is stronger in higher fields and at lower temperatures. We note that, in the case of Fig.4 (a), the FFLO state modulating along H is overcome, in t < 0.25, by another FFLO-like vortex state with a modulation perpendicular to H and formed in the next (n = 1) LL [8,18]. However, this another FFLO-like state has no periodic modulation parallel to H, implying that no specific feature is expected in tilt deformations.…”

Section: Numerical Results and Discussionmentioning

confidence: 86%

“…Throughout this paper, we have focused on the case in which vortex lattices in equilibrium are described in the lowest LL. As shown elsewhere, [8,18] a higher LL vortex lattice tends to occur in "clean limit", which is defined as the case with infinitely long quasiparticle's (QP's) mean free path, and in the case with large α M . In fact, in Fig.3 (a), the n = 1 LL vortex lattice with additional nodal lines in the plane perpendicular to H occurs in much lower temperatures than the range shown there.…”

Section: Numerical Results and Discussionmentioning

confidence: 93%

“…3: (a) Example of the h-t mean field phase diagram in H x obtained numerically, where each thick (thin) solid curve is the discontinuous (2nd order) mean field transition curve. The low temperature region in t < 0.25 where another FFLO-like vortex lattice [8,18] described by the n = 1 LL modes of ∆e occurs is not shown here. (b) The corresponding numerical data of L44, defined in the text, in clean limit.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…For comparison, δC 44 in H ẑ was also examined by adding a small noncylindrical portion with large |w z /w x |, stabilizing [8,18] an FFLO in H ẑ, to the cylindrical FS. Although, as given in Fig.2, it shows the familiar type of softening behavior of δC 44 at H FFLO , this cusp-like feature is not visible on the scale of Fig.4 (see the dotted curve), and, as shown there, the temperature variations of δC 44 and L 2 are quite weak around H FFLO .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state

Ikeda

2007

Phys. Rev. B

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Vortex tilt response in Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) vortex lattice is theoretically examined as a probe reflecting the spatial structure of this state. In the FFLO state with nodal planes perpendicular to the magnetic field in a quasi 2D material under a parallel field, the tilt modulus E_{2} {\it of the nodal planes} decreases as the paramagnetic effect is effectively enhanced, and this reduction of E_{2} in turn reduces the vortex tilt modulus. This reduction of vortex tilt modulus, more remarkable in more anisotropic systems, accompanying the FFLO transition may be an origin of the monotonous reduction of sound velocity detected upon cooling in a ultrasound measurement for CeCoIn5.Comment: 14 pages, 5 figures. Accepted for publication in Phys. Rev.

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Section: Numerical Results and Discussionmentioning

confidence: 86%

Section: Numerical Results and Discussionmentioning

confidence: 93%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state

Ikeda

2007

Phys. Rev. B

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“…Recently, it has been proposed that the presence of a small sheet of 3D Fermi surface can stabilize the FFLO state in a perpendicular field. 122 In addition, the enhanced antiferromagnetic fluctuation in a perpendicular field compared with a parallel field may be important for the stability of the FFLO state.…”

Section: H-t Phase Diagrammentioning

confidence: 99%

Fulde–Ferrell–Larkin–Ovchinnikov State in Heavy Fermion Superconductors

2007

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The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is a novel superconducting state in a strong magnetic field characterized by the formation of Cooper pairs with nonzero total momentum (k ↑, −k + q ↓), instead of the ordinary BCS pairs (k ↑, −k ↓). A fascinating aspect of the FFLO state is that it exhibits inhomogeneous superconducting phases with a spatially oscillating order parameter and spin polarization. The FFLO state has been of interest in various research fields, not only in superconductors in solid state physics, but also in neutral Fermion superfluid of ultracold atomic gases and in color superconductivity in high energy physics. In spite of extensive studies of various superconductors, there has been no undisputed experimental verification of the FFLO state, mainly because of the very stringent conditions required of the superconducting materials. Among several classes of materials, certain heavy fermion and organic superconductors are believed to provide conditions that are favorable to the formation of the FFLO state. This review presents recent experimental and theoretical developments of the FFLO state mainly in heavy fermion superconductors. In particular we address the recently discovered quasi-two-dimensional superconductor CeCoIn5, which is a strong candidate for the formation of the FFLO state.

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Superconducting transition in disordered granular superconductors in magnetic fields

Ikeda

2006

Phys. Rev. B

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Motivated by a recent argument that the superconducting (SC) transition field of threedimensional (3D) disordered superconductors with granular structure in a nonzero magnetic field should lie above Hc2(0) in low T limit, the glass transition (or, in 2D, crossover) curve Hg(T ) of disordered quantum Josephson junction arrays is examined by incorporating SC fluctuations. It is found that the glass transition or crossover in the granular materials can be described on the same footing as the vortex-glass (VG) transition in amorphous-like (i.e., nongranular) materials. In most of 3D granular systems, the vanishing of resistivity upon cooling should occur even above Hc2(0), while the corresponding sharp drop of the resistivity in 2D case may appear only below Hc2 as a result of an enhanced quantum fluctuation.

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Untitled

Cited by 6 publications

References 22 publications

Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state

Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state

Fulde–Ferrell–Larkin–Ovchinnikov State in Heavy Fermion Superconductors

Superconducting transition in disordered granular superconductors in magnetic fields

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