Pressure-Induced Heavy-Fermion Superconductivity in Antiferromagnet CeIrSi<sub>3</sub>without Inversion Symmetry

Sugitani, I.; Okuda, Y.; Shishido, Hiroaki; Yamada, Tsutomu; Thamizhavel, A.; Yamamoto, Etsuji; Matsuda, Tatsuma D.; Haga, Yoshinori; Takeuchi, Tetsuya; Settai, Rikio; Ōnuki, Yoshichika

doi:10.1143/jpsj.75.043703

Cited by 366 publications

(282 citation statements)

References 15 publications

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“…Compared to T c , H c2 peaks much more strongly towards the QCP. This is in remarkable qualitative agreement with the recent results by Levy et al on the behavior of the orbital limiting field in URhGe exhibiting a ferromagnetic QCP [59], where the highest T c is about 0.5 K [97], while the upper critical field exceeds 28 T. It has also been observed in noncentrosymmetric heavy fermion superconductors CeRhSi 3 [98,99] and CeIrSi 3 [100,101], where the Pauli limiting effect is suppressed due to lack of inversion center of the crystal structures and the orbital limiting effect plays the main role of pair breaking. Near the quantum critical points, H c2 can be as high as about 30 K, although the zero field T c is of order 1K [102,103].…”

Section: Spatial Dependence Of the Pair Susceptibility: Upper Criticasupporting

confidence: 92%

BCS superconductivity in quantum critical metals

She

Zaanen

2009

Phys. Rev. B

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[file: qcbcs-arxiv2])We present a simple phenomenological scaling theory for the pairing instability of a quantum critical metal. It can be viewed as a minimal generalization of the classical Bardeen-Cooper-Schrieffer theory of superconductivity for normal Fermi-liquid metals. We assume that attractive interactions are induced in the fermion system by an external 'bosonic glue' that is strongly retarded. Resting on the small Migdal parameter, all the required information from the fermion system needed to address the superconductivity enters through the pairing susceptibility. Asserting that the normal state is a strongly interacting quantum critical state of fermions, the form of this susceptibility is governed by conformal invariance and one only has the scaling dimension of the pair operator as free parameter. Within this scaling framework, conventional BCS theory appears as the 'marginal' case but it is now easily generalized to the (ir)relevant scaling regimes. In the relevant regime an algebraic singularity takes over from the BCS logarithm with the obvious effect that the pairing instability becomes stronger. However, it is more surprising that this effect is strongest for small couplings and small Migdal parameters, highlighting an unanticipated important role of retardation. Using exact forms for the finite temperature pair susceptibility from 1+1D conformal field theory as models, we study the transition temperatures, finding that the gap to transition temperature ratio's are generically large compared to the BCS case, showing however an opposite trend as function of the coupling strength compared to conventional Migdal-Eliashberg theory. We show that our scaling theory naturally produces the superconducting 'domes' surrounding the quantum critical points, even when the coupling to the glue itself is not changing at all. We argue that hidden relations will exist between the location of the cross-over lines to the Fermi-liquids away from the quantum critical points , and the detailed form of the dome when the glue strength is independent of the zero temperature control parameter. Finally, we discuss the behavior of the orbital limited upper critical magnetic field as function of the zero temperature coupling constant. Compared to the variation of the transition temperature, the critical field might show a much stronger variation pending the value of the dynamical critical exponent.

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Section: Spatial Dependence Of the Pair Susceptibility: Upper Criticasupporting

confidence: 92%

BCS superconductivity in quantum critical metals

She

Zaanen

2009

Phys. Rev. B

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“…Studies on NCS have been initially stimulated by the discovery of the coexistence of antiferromagnetic order (T N = 2.2 K) and superconductivity (T c = 0.75 K) for CePt 3 Si [1]. Following this discovery, pressure-induced superconductivity has been reported for the noncentrosymmetric antiferromagnets CeRhSi 3 [3][4][5][6], CeIrSi 3 [5,[7][8][9], CeCoGe 3 [10,11], and CeIrGe 3 [12]. These four cerium-based NCS adopt the body-centred tetragonal BaNiSn 3 -type structure in which the lack of a mirror plane perpendicular to [001] gives rise to the Rashba-type antisymmetric coupling [1,2].…”

Section: Introductionmentioning

confidence: 99%

The effect of spin orbit interaction for superconductivity in the noncentrosymmetric superconductor CaIrSi3

Uzunok

İpsara

Tütüncü

et al. 2016

Journal of Alloys and Compounds

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We have carried out an ab initio study of the electronic, vibrational and electronphonon interaction properties of the body-centred tetragonal CaIrSi 3 by employing the density functional theory, a linear-response formalism, and the plane-wave pseudopotential method. The electronic structure and phonon dispersion relations of this material have been analyzed with and without the inclusion of spin-orbit interaction (SOI). Our electron-phonon interaction results reveal that Si-related phonon modes are more involved in the process of scattering of electrons than the remaining phonon modes due to considerable existence of the Si 3p states near the Fermi level. By integrating the Eliashberg spectral function, the average electron-phonon coupling parameter is found to be 0.58 which compares very well with its experimental value of 0.56. Using the calculated value of λ, the superconducting critical temperature (T c ) for CaIrSi 3 is found to be 3.20 K which is in good accordance with its experimental value of 3.55 K. Furthermore, we have shown that the effect of SOI on the values of λ and T c is very small.

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“…The tetragonal point group 4 = v C G , relevant for CePt 3 Si [18], CeRhSi 3 [19] and CeIrSi 3 [20], yields the antisymmetric spin-orbit coupling…”

Section: Electronic States In Non-centrosymmetric Metalsmentioning

confidence: 99%

Magnetoelectric effect and the upper critical field in superconductors without inversion center

Минеев

2011

Low Temperature Physics

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Pressure-Induced Heavy-Fermion Superconductivity in Antiferromagnet CeIrSi₃without Inversion Symmetry

Cited by 366 publications

References 15 publications

BCS superconductivity in quantum critical metals

BCS superconductivity in quantum critical metals

The effect of spin orbit interaction for superconductivity in the noncentrosymmetric superconductor CaIrSi3

Magnetoelectric effect and the upper critical field in superconductors without inversion center

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Pressure-Induced Heavy-Fermion Superconductivity in Antiferromagnet CeIrSi3without Inversion Symmetry

Cited by 366 publications

References 15 publications

BCS superconductivity in quantum critical metals

BCS superconductivity in quantum critical metals

The effect of spin orbit interaction for superconductivity in the noncentrosymmetric superconductor CaIrSi3

Magnetoelectric effect and the upper critical field in superconductors without inversion center

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Product

Resources

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Pressure-Induced Heavy-Fermion Superconductivity in Antiferromagnet CeIrSi₃without Inversion Symmetry