Magnetic and Superconducting Properties of LaIrSi<sub>3</sub> and CeIrSi<sub>3</sub> with the Non-centrosymmetric Crystal Structure

Okuda, Y.; Miyauchi, Yuichiro; Ida, Yuki; Takeda, Yoshiro; Tonohiro, Chie; Oduchi, Yasuhiro; Yamada, Tsutomu; Dung, Nguyen Duc; Matsuda, Tatsuma D.; Haga, Yoshinori; Takeuchi, Tetsuya; Hagiwara, Masayuki; Kindo, Koichi; Harima, Hisatomo; Sugiyama, Kiyohiro; Settai, Rikio; Ōnuki, Yoshichika

doi:10.1143/jpsj.76.044708

Cited by 104 publications

(118 citation statements)

References 25 publications

Supporting

Mentioning

105

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

[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.

show abstract

Section: Spatial Dependence Of the Pair Susceptibility: Upper Criticasupporting

confidence: 92%

BCS superconductivity in quantum critical metals

She

Zaanen

2009

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…The entropy gain associated with the AFM transition is small, 0.2R ln 2, as in CeRhSi 3 ( Fig. 12(b)) [68]. The AFM state is robust against a magnetic field, as shown in the inset of Fig.…”

Section: Magnetic Propertiesmentioning

confidence: 81%

“…The temperature dependence of the magnetic susceptibility is anisotropic at low temperatures ( Fig. 11(g)) [40,68]. The entropy gain associated with the AFM transition is small, 0.2R ln 2, as in CeRhSi 3 ( Fig.…”

Section: Magnetic Propertiesmentioning

confidence: 93%

See 1 more Smart Citation

Non-centrosymmetric Heavy-Fermion Superconductors

Kimura

Bonalde

2012

Non-Centrosymmetric Superconductors

View full text Add to dashboard Cite

In this chapter we discuss the physical properties of a particular family of non-centrosymmetric superconductors belonging to the class heavy-fermion compounds. This group includes the ferromagnet UIr and the antiferromagnets CeRhSi 3 , CeIrSi 3 , CeCoGe 3 , CeIrGe 3 and CePt 3 Si, of which all but CePt 3 Si become superconducting only under pressure. Each of these superconductors has intriguing and interesting properties. We first analyze CePt 3 Si, then review CeRhSi 3 , CeIrSi 3 , CeCoGe 3 and CeIrGe 3 , which are very similar to each other in their magnetic and electrical properties, and finally discuss UIr. For each material we discuss the crystal structure, magnetic order, occurrence of superconductivity, phase diagram, characteristic parameters, superconducting properties and pairing states. We present an overview of the similarities and differences between all these six compounds at the end. CePt 3 SiThe enormous interest in superconductors without inversion symmetry started with the discovery of superconductivity in the heavy-fermion compound CePt 3 Si [1], which exhibits long-range antiferromagnetic (AFM) order below the Neel temperature T N = 2.2 K and becomes superconducting at the critical temperature T c = 0.75 K. CePt 3 Si is the only known heavy-fermion (HF) compound without inversion symmetry that superconducts at ambient pressure, as opposed to the cases of CeIrSi 3 , CeRhSi 3 , CeCoGe 3 , CeIrGe 3 and UIr. The heavy-fermion character has

show abstract

“…The main reason for these studies is to describe the role of the noncentrosymmetric crystal structure in the formation of unconventional Cooper pairing with nodes in the superconducting gap. Several Ce materials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] crystallizing in BaNiSn 3 -type structure have been found to be superconductors, and show interesting physical properties. The majority of Ce materials are antiferromagnetic and become superconducting only under pressure.…”

Section: Introductionmentioning

confidence: 99%

Theoretical investigation of superconductivity in SrAuSi3 and SrAu2Si2

Arslan

Karaca

Tütüncü

et al. 2016

Journal of Physics and Chemistry of Solids

View full text Add to dashboard Cite

The structural and electronic properties of BaNiSn 3 -type SrAuSi 3 and ThCr 2 Si 2 -type SrAu 2 Si 2 have been investigated by using the planewave pseudopotential method and the density functional theory. The electronic structures and phonon dispersion relations of these two materials have been analyzed with and without the inclusion of spin-orbit interaction, and similarities and differences highlighted. By integrating the Eliashberg spectral function α 2 F(ω), the average electron-phonon coupling parameter is determined to be λ = 0.47 for SrAuSi 3 and 0.42 for SrAu 2 Si 2 . The largest contribution to the electron-phonon coupling for SrAuSi 3 comes from the Si p electrons near the Fermi energy and Si-related vibrations. Using a reasonable value of µ * = 0.12 for the effective Coulomb repulsion parameter, the superconducting critical temperature T c for SrAuSi 3 is found to be 1.47 K which compares very well with its experimental value of 1.54 K.

show abstract

Magnetic and Superconducting Properties of LaIrSi₃ and CeIrSi₃ with the Non-centrosymmetric Crystal Structure

Cited by 104 publications

References 25 publications

BCS superconductivity in quantum critical metals

BCS superconductivity in quantum critical metals

Non-centrosymmetric Heavy-Fermion Superconductors

Theoretical investigation of superconductivity in SrAuSi3 and SrAu2Si2

Contact Info

Product

Resources

About

Magnetic and Superconducting Properties of LaIrSi3 and CeIrSi3 with the Non-centrosymmetric Crystal Structure

Cited by 104 publications

References 25 publications

BCS superconductivity in quantum critical metals

BCS superconductivity in quantum critical metals

Non-centrosymmetric Heavy-Fermion Superconductors

Theoretical investigation of superconductivity in SrAuSi3 and SrAu2Si2

Contact Info

Product

Resources

About

Magnetic and Superconducting Properties of LaIrSi₃ and CeIrSi₃ with the Non-centrosymmetric Crystal Structure