arXiv subjects

K. Maki

Publications and source records attributed to K. Maki.

At least 19 recordsLinked to original sources

arXiv2006

Upper critical field H_c2 in Bechgaard salts (TMTSF)_2PF_6

The symmetry of the superconducting order parameter in Bechgaard salts is still unknown, though the triplet pairing is well stablished by NMR data and large upper critical field. Here we examine the upper critical field of a few candidate superconductors within the standard formalism. The present analysis suggests strongly chiral f-wave superconductor somewhat similar to the one in Sr_2RuO_4 is the most likely candidate.

cond-mat.supr-con↗

arXiv2005

Upper critical field H_c2 in PrOs4Sb12

We study the upper critical field of the A and B phases in the triplet superconductor PrOs_{4}Sb_{12} within the p+h-wave superconductivity proposed recently for this material. The present result is compared with H_{c2}(t) and H*(t), the boundary between the A and B phase in PrOs_{4}Sb_{12}, reported earlier and with more recent data of H$_{c2}(t)$ for the single phase crystal. We find H_{c2}(t)'s for both the two phase crystal and the single phase crystal are described by the model for the A phase. From this fitting one can deduce the Fermi velocity as v=2.5 x 10^6 cm/s. On the other hand H_{c2}(t) for the B phase is found to be somewhat smaller than H*(t), which is rather puzzling.

cond-mat.supr-con↗

arXiv2005

New World of Gossamer Superconductivity

Since the discovery of the high-T$_{c}$ cuprate superconductor La$_{2-x}$BaCuO$_{4}$ in 1986 by Bednorz and Müller, controversy regarding the nature or origin of this remarkable superconductivity has continued. However, d-wave superconductivity in the hole-doped cuprates, arising due to the anti-paramagnon exchange, was established around 1994. More recently we have shown that the mean field theory, like the BCS theory of superconductivity and Landau's Fermi liquid theory are adequate to describe the cuprates. The keys for this development are the facts that a)the pseudogap phase is d-wave density wave (dDW) and that the high-T$_{c}$ cuprate superconductivity is gossamer (i.e. it exists in the presence of dDW).

cond-mat.supr-con↗

arXiv2005

Scaling Relations in the Vortex State of Nodal Superconductors

In contrast to multigap superconductors (e.g. MgB$_{2}$), the low-temperature properties of nodal superconductors are dominated by nodal excitations. Here we extend for a variety of nodal superocnductors the earlier work by Simon and Lee and Kübert and Hirschfeld. The scaling relations seen in the thermodynamics and the thermal conductivity will provide an unequivocal test of nodal superconductivity.

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arXiv2005

Gossamer Superconductivity, New Paradigm?

We shall review our recent works on d-wave density wave (dDW) and gossamer superconductivity (i.e. d-wave superconductivity in the presence of dDW) in high-T$_{c}$ cuprates and CeCoIn$_{5}$. a) We show that both the giant Nernst effect and the angle dependent magnetoresistance (ADMR) in the pseudogap phases of the cuprates and CeCoIn$_{5}$ are manifestations of dDW. b) The phase diagram of high-T$_{c}$ cuprates is understood in terms of mean field theory, which includes two order parameters $Δ_{1}$ and $Δ_{2}$, where one order parameter is from dDW and the other from d-wave superconductivity. c) In the optimally to the overdoped region we find the spatially periodic dDW, an analogue of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, becomes more stable. d) In the underdoped region where $Δ_{2}/Δ_{1} \ll 1$ the Uemera relation is obtained within the present model. We speculate that the gossamer superconductivity is at the heart of high-T$_{c}$ cuprate superconductors, the heavy-fermion superconductor CeCoIn$_{5}$ and the organic superconductors $κ$- (ET)$_{2}$Cu(NCS)$_{2}$ and (TMTSF)$_2$PF$_{6}$.

cond-mat.supr-con↗

arXiv2005

Topological defects in triplet superconductors UPt$_{3}$, Sr$_{2}$RuO$_{4}$, etc

After a brief introduction on nodal superconductors, we review the topological defects in triplet superconductors such as UPt$_{3}$, Sr$_{2}$RuO$_{4}$, etc. This is in part motivated by the surprising discovery of Ana Celia Mota and her colleagues that in some triplet superconductors the flux motion is completely impeded (the ideal pinning). Among topological defects the most prominent is Abrikosov's vortex with quantum flux $ϕ_{0}= \frac{hc}{2e}$. Abrikosov's vortex is universal and ubiquitous and seen in both conventional and unconventional superconductors by the Bitter decoration technique, small angle neutron scattering (SANS), scanning tunneling microscopy (STM), micromagnetometer and more recently by Lorentz electron micrograph. In order to interpret the experiment by Mota et al a variety of textures are proposed. In particular, in analogy to superfluid $^{3}$He-A the $\hat{\ell}$-soliton and $\hat{d}$-soliton play the prominent role. We review these notions and point out possible detection of these domain walls and half-quantum vortices in some triplet superconductors.

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arXiv2005

Scaling Relations in the Triplet Superconductor PrOs4Sb12

Scaling relations are one of the hallmarks of nodal superconductivity since they contain information characteristic for gapless order parameters. In this paper we derive the scaling relations for the thermodynamics and the thermal conductivity in the vortex state of the A and B phases of the skutterudite PrOs4Sb12. Experimental confirmation of these scaling relations can provide further support for anisotropic gap functions which were previously considered for this material.

cond-mat.supr-con↗

arXiv2005

BCS theory of nodal superconductors

This course has a dual purpose. First we review the successes of the weak-coupling BCS theory in describing new classes of superconductors discovered since 1979. They include the heavy-fermion superconductors, high-Tc cuprate superconductors, organic superconductors, Sr2RuO4, etc. Second, we present the quasiclassical approximation introduced by Volovik, which we extend to describe the thermodynamics and the thermal conductivity of the vortex state in nodal superconductors. This approach provides the most powerful tool to identify the symmetry of the energy gap function Delta(k) in these new superconductors.

cond-mat.supr-con↗

arXiv2004

Gap Symmetry of Superconductivity in UPd2Al3

The angle dependent thermal conductivity of the heavy-fermion superconductor UPd$_2$Al$_3$ in the vortex state was recently measured by Watanabe et al. Here we analyze this data from two perspectives: universal heat conduction and the angle-dependence. We conclude that the superconducting gap function $Δ({\bf k})$ in UPd$_2$Al$_3$ has horizontal nodes and is given by $Δ({\bf k}) =Δ\cos(2χ)$, with $χ= ck_{z}$.

cond-mat.supr-con↗

arXiv2004

Gap Symmetry and Thermal Conductivity in Nodal Superconductors

Here we consider the universal heat conduction and the angular dependent thermal conductivity in the vortex state for a few nodal superconductors. We present the thermal conductivity as a function of impurity concentration and the angular dependent thermal conductivity in a few nodal superconductors. This provides further insight in the gap symmetry of superconductivity in Sr$_2$RuO$_4$ and UPd$_2$Al$_3$.

cond-mat.supr-con↗

arXiv2004

Superconducting Gap Function in Antiferromagnetic Heavy-Fermion UPd_2Al_3 Probed by Angle Resolved Magnetothermal Transport Measurements

The superconducting gap structure of heavy fermion UPd_2Al_3, in which unconventional superconductivity coexists with antiferromagnetic (AF) order with atomic size local moments, was investigated by the thermal conductivity measurements in a magnetic field rotating in various directions relative to the crystal axes. The results provide strong evidence that the gap function Δ(k) has a single line node orthogonal to the c-axis located at the AF Brillouin zone boundary, while Δ(k) is isotropic within the basal plane. The determined nodal structure is compatible with the resonance peak in the dynamical susceptibility observed in neutron inelastic scattering experiments. Based on these results, we conclude that the superconducting pairing function of UPd_2Al_3 is most likely to be d-wave with a form Δ(k)=Δ_0 cos(k_zc)

cond-mat.supr-con↗

arXiv2004

Panorama of Nodal Superconductors

Since 1979, many new classes of superconductors have been discovered, including heavy-fermion compounds, organic conductors, high-Tc cuprates, and Sr2RuO4. Most of these superconductors are unconventional and/or nodal. Therefore it is of central importance to determine the symmetry of the order parameter in each of these superconductors. In particular, the angular-controlled thermal conductivity in the vortex state provides a unique means of investigating the nodal structure of the superconducting energy gap when high-quality single crystals in the extremely clean limit are available. Using this method, Izawa et al have recently succeeded in identifying the energy gap symmetry of superconductivity in Sr2RuO4, CeCoIn5, kappa-(ET)2Cu(NCS)2, YNi2B2C, and PrOs4Sb12.

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arXiv2003

Critical Current of the Spin-Triplet Superconducting Phase in Sr$_2$RuO$_4$

There have been two different proposals for the spin-triplet order parameter of the superconducting phase in Sr$_2$RuO$_4$; an $f$-wave order parameter and the multigap model where some of the bands have the line node. In an effort to propose an experiment that can distinguish two cases, we study the behavior of the supercurrent and compute the critical current for these order parameters when the sample is a thin film with the thickness $d \ll ξ$ where $ξ$ is the coherence length. It is found that the supercurrent behaves very differently in two models. This will serve as a sharp test for the identification of the correct order parameter.

cond-mat.supr-con↗

arXiv2003

Hall resistivity in unconventional spin density wave in (TMTSF)2PF6 below T=4.2K

It is well documented that SDW in (TMTSF)2PF6 undergoes another phase transition at T*\approx 4K, though the nature of the new low temperature phase is controversial. We have shown recently that the new phase is well described in terms of unconventional SDW (USDW) which modifies the quasiparticle spectrum dramatically. In this paper we show that the same model describes consistently the Hall resistivity observed in (TMTSF)2PF6.

cond-mat.str-el↗

arXiv2003

Multiphase Superconductivity in Skutterudite PrOs_4Sb_12

We propose a model of nodal order parameters for the superconducting A and B - phase of skutterudite PrOs_4Sb_{12} and discuss the associated angular dependent magnetothermal conductivity at low temperatures. The model for the hybrid gap functions \De(k) containing an s- and g- wave parts is consistent with recent thermal conductivity experiments in PrOs_4Sb_12. In particular the model accounts for the data on polar an azimuthal field angle dependence of κ_zz(θ,ϕ). The low temperature behaviour of thermodynamic properties in zero field is also presented. We show that the effect of impurity scattering on a nodal hybrid gap function immediately leads the opening of a gap and related exponential behaviour of low temperature specific heat and thermal conductivity which is very different from d- wave superconductors.

cond-mat.supr-con↗

arXiv2003

Impurity effects on s+g-wave superconductivity in borocarbides Y(Lu)Ni_2B_2C

Recently a hybrid s+g-wave pairing is proposed to describe the experimental observation for a nodal structure of the superconducting gap in borocarbide YNi$_2$B$_2$C and possibly LuNi$_2$B$_2$C. In this paper the impurity effects on the s+g-wave superconductivity are studied in both Born and unitarity limit. The quasiparticle density of states and thermodynamics are calculated. It is found that the nodal excitations in the clean system are immediately prohibited by impurity scattering and a finite energy gap increases quickly with the impurity scattering rate. This leads to an activated behavior in the temperature dependence of the specific heat. Qualitative agreement with the experimental results is shown. Comparison with d-wave and some anisotropic s-wave studied previously is also made.

cond-mat.supr-con↗

arXiv2003

Electronic Raman Spectra of Superconducting Borocarbides

Recently we have proposed a s+g-wave model for the superconductivity in borocarbides, YNi2B2C and LuNi2B2C. In the present paper we first summarize thermodynamic properties of s+g-wave model. Then we shall analyse the recent Raman spectra data of RNi2B2C (with R=Lu and Y) by Yang et al. The present model appears to describe salient features of the Raman spectra.

cond-mat.supr-con↗

arXiv2003

Thermal Conductivity in Vortex State of Nodal Superconductors

How to determine the symmetry of the superconducting order parameter is one of the important issues in novel superconductors, which include charge conjugated organic superconductors. We have proposed that the angular dependence of the thermal conductivity in a planar magnetic field provides a new window to look at the symmetry of the order parameter. After a brief summary of the quasiclassical approach we describe how the symmetry of the superconducting order parameter in Sr$_2$RuO$_4$, CeCoIn$_5$ and $κ$-(ET)$_2$Cu(NCS)$_2$ is determined. Also in some of experiments the phononic thermal conductivity plays the crucial role.

cond-mat.supr-con↗