Superconductivity in Transition Metals

Vonsovsky, Serghey V.; Izyumov, Yu. A.; Kurmaev, E.Z.

doi:10.1007/978-3-642-61819-2_4

Cited by 45 publications

(67 citation statements)

References 127 publications

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“…This is the lowest order term which satisfies gauge and parity symmetry requirements. A similar G-L theory was analysed by Liu and Fisher [54], Imry [55], Yurkevich, Rolov and Stanley [56], and is discussed in texts such as that by Vonsovsky, Izyumov, and Kurmaev [57]. A rich phase diagram can result, depending on the relative magnitudes and signs of the coefficients of quadratic , quartic, and biquadratic terms .A case of particular interest to us, will occur for "antagonistic" order parameters for which κ is positive.…”

Section: Interaction Terms; Double Mean Field Approximation A) Imentioning

confidence: 77%

Theory of coexistence of superconductivity and ferroelectricity: A dynamical symmetry model

Birman

Weger

2001

Phys. Rev. B

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We propose and investigate a model for the coexistence of Superconductivity (SC) and Ferroelectricity (FE) based on the dynamical symmetries su(2) for the (pseudo-spin) SC sector , h(4) for the (displaced oscillator) FE sector and su(2) ⊗ h(4) for the composite system. We assume a minimal symmetryallowed coupling ,and simplify the hamiltonian using a double mean-field approximation (DMFA). A variational coherent-state (VCS) trial wave-function is used for the ground state : the energy, and the relevant order parameters for SC and FE are obtained . For positive sign of the SC-FE coupling coefficient, a non-zero value of either order parameter can suppress the other one (FE polarization suppresses SC , and vice versa). This gives some support to "Matthias' Conjecture" [1964] , that SC and FE tend to be mutually exclusive. For such a Ferroelectric Superconductor we predict: a) the SC gap ∆ (and T c ) will increase with increasing applied pressure when pressure 1

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Section: Interaction Terms; Double Mean Field Approximation A) Imentioning

confidence: 77%

Theory of coexistence of superconductivity and ferroelectricity: A dynamical symmetry model

Birman

Weger

2001

Phys. Rev. B

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“…The reason is that the existence of superconductivity in such itinerant ferromagnets is a highly nontrivial phenomenon. As noted in [42] the superconductivity in these materials seems difficult to be explained in terms of previous theories [32,33,35] and requires new concepts for the interpretation of experimental data.…”

mentioning

confidence: 93%

“…In contrast to other superconducting materials, for example, ternary and Chevrel phase compounds, where the effects of magnetic order on superconductivity are also substantial (see, e. g., [32][33][34][35]), in these ferromagnetic compounds the phase transition temperature (T f ) to the ferromagnetic state is much higher than the phase transition temperature (T FS ) from ferromagnetic to a (mixed) state of coexistence of ferromagnetizm and superconductivity. For example, in UGe 2 T FS is 0.8 K whereas the critical temperature of the phase transition from paramagnetic to ferromagnetic state in the same material is T f = 35 K [26,27].…”

mentioning

confidence: 99%

“…Furthermore, let us emphasize that the conditions for the coexistence of nonuniform ("vertex", "spiral", "spin-sinosoidal" or "helical") superconducting and ferromagnetic states are less restrictive than those for the coexistence of uniform superconducting and ferromagnetic orders. Coexistence of nonuniform phases has been discussed in detail, in particular, in the experiment and theory of ternary and Chevrel-phase compounds, where such coexistence seems quite likely; for a comprehensive review, see, for example, [32][33][34][35]40].…”

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confidence: 99%

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Phenomenological study of spin-triplet ferromagnetic superconductors

Shopova¹,

Tsvetkov²,

Uzunov³

2005

Condens. Matter Phys.

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Unconventional superconductivity with spin-triplet Cooper pairing is reviewed based on the quasi-phenomenological Ginzburg-Landau theory. The superconductivity, in particular, the mixed phase of coexistence of ferromagnetizm and unconventional superconductivity is triggered by the spontaneous magnetization. The mixed phase is stable whereas the other superconducting phases that usually exist in unconventional superconductors are either unstable, or, for particular values of the parameters of the theory, some of these phases are metastable at relatively low temperatures in a quite narrow domain of the phase diagram. The phase transitions from the normal phase to the phase of coexistence is of first order while the phase transition from the ferromagnetic phase to the coexistence phase can be either of first or second order depending on the concrete substance. The Cooper pair and crystal anisotropy are relevant to a more precise outline of the phase diagram shape and reduce the degeneration of the ground states of the system but they do not drastically effect the phase stability domains and the thermodynamic properties of the respective phases.

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“…An example is how the superconducting transition temperature, for pure elements and for compounds with the A15 structure, strongly depends on the number of valence electrons 2 . An analogy to this universal rule also works in the uranium "3-4-3" family.…”

Section: Introductionmentioning

confidence: 99%

Physical properties of the uranium ternary compoundsU3Bi4M3(M

et al. 2008

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We report the properties of two new isostructural compounds, U 3 Bi 4 Ni 3 and U 3 Bi 4 Rh 3 . The first of these compounds is non-metallic, and the second is a nearly ferromagnetic metal, both as anticipated from their electron count relative to other U-based members of the larger '3-4-3' family. For U 3 Bi 4 Rh 3 , a logarithmic increase of C/T below 3 K, a resistivity proportional to T 4/3 , and the recovery of Fermi-liquid behavior in both properties with applied fields greater than 3T, suggest that U 3 Bi 4 Rh 3 may be a new example of a material displaying ferromagnetic quantum criticality.2

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Superconductivity in Transition Metals

Cited by 45 publications

References 127 publications

Theory of coexistence of superconductivity and ferroelectricity: A dynamical symmetry model

Theory of coexistence of superconductivity and ferroelectricity: A dynamical symmetry model

Phenomenological study of spin-triplet ferromagnetic superconductors

Physical properties of the uranium ternary compoundsU3Bi4M3(M

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