Coexistence of superconductivity and magnetism theoretical predictions and experimental results

Bulaevskiǐ, L. N.; Buzdin, Alexandre I.; Kulić, Miodrag L.; Panjukov, S. V.

doi:10.1080/00018738500101741

Cited by 334 publications

(264 citation statements)

References 131 publications

(220 reference statements)

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“…In many of these compounds both ferromagnetic (F) and antiferromagnetic (AF) ordering coexist with superconductivity (S), see Refs. 5,6. It turned out that the coexistence of S and AF ordering was realized in many of these compounds 7 usually up to T = 0, while S and modified F ordering coexisted in ErRh 4 B 4 , HoMo 6 S 8 and HoMo 6 Se 8 only.…”

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confidence: 99%

“…(2) the wave vector Q is neither large nor small (ξ −1 In what follows the theory of magnetic superconductors -the MS theory 5,8 , is applied to TmNi 2 B 2 C and it will be shown that the competition between S and the oscillatory M order is predominantly due to the EX interaction, while the EM one is negligible, not only in this compound but also in the whole (RE)Ni 2 B 2 C family. An analysis of effects of the magnetic field allows us to discern between two possible scenarios for the origin of the oscillatory magnetic order.…”

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confidence: 99%

“…Q) components of S Q respectively, while F 0 {S Q } is the isotropic part (entropy term) of the functional for isolated ions. Θ 0 = Θ ex + Θ em /3 + Θ ′ ex + Θ ′ em characterizes the contribution of all mechanisms (long (Θ ex , Θ em ) -and short (Θ ′ ex , Θ ′ em )-range parts of the exchange and dipole energies) to the ground-state energy 5,8 . We assume that in the normal state the dipole-dipole interaction of LM moments leads to ferromagnetic ordering, but exchange interaction may result in ferromagnetic or oscillatory ordering depending on Fermi surface structure.…”

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confidence: 99%

“…A theory has been developed and the phase diagram was given in Refs. 5,8,9 where the possibility of the coexistence of S and spiral or domain-like magnetic order has been elaborated quantitatively by including the exchange (EX) and electromagnetic (EM) interaction of conduction electrons and localized magnetic moments (LM's). It has been also demonstrated that the theory based on the EM interaction only 10 can not describe the coexistence problem in real systems.…”

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confidence: 99%

“…The MS theory 5,8 considers all important interactions between LM ′ s and conduction electrons: (1) via the direct EX interaction; (2) via the induced magnetic field B(r) = curlA(r) -the EM interaction, which is due to the dipolar magnetic field B m (r) = 4πM(r).…”

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Magnetism and superconductivity in (RE) Ni2B2C: The case of TmNi2B2C

1997

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The recently reported 1,2 coexistence of an oscillatory magnetic order with the wave vector Q = 0.241Å −1 and superconductivity in TmNi 2 B 2 C is analyzed theoretically. It is shown that the oscillatory magnetic order and superconductivity interact predominantly via the exchange interaction between localized moments (LM's) and conduction electrons, while the electromagnetic interaction between them is negligible. In the coexistence phase of the clean TmNi 2 B 2 C the quasiparticle spectrum should have a line of zeros at the Fermi surface, giving rise to the power law behavior of thermodynamic and transport properties. Two scenarios of the origin of the oscillatory magnetic order in TmNi 2 B 2 C are analyzed: a) due to superconductivity and b) independently on superconductivity. Experiments in magnetic field are proposed in order to choose between them.

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Magnetism and superconductivity in (RE) Ni2B2C: The case of TmNi2B2C

1997

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Reentrant Superconductivity in HoMo6S8

Gosławska

Matlak

1998

Phys. Status Solidi B

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A simplified version of the s±f model, supplemented by the intersite Cooper pair interaction between conduction electrons with opposite spins, is used to investigate the competition between ferromagnetism and anisotropic superconductivity in a single-domain ferromagnet. The calculations of the temperature dependence of the magnetizations m f (localized 4f electrons), m d (conduction electrons) and the superconducting order parameter show the existence of three critical temperatures: T C (Curie temperature), T S1 and T S2 (lower and upper superconducting transition temperatures). The critical temperatures fulfil the relation T S1`TC`TS2 . For T P 0Y T S1 the system is ferromagnetic and normal, for T P T S1 Y T C ferromagnetic and superconducting, for T P T C Y T S2 paramagnetic and superconducting and for T b T S2 paramagnetic and normal. The superconducting order parameter possesses a distinct maximum between T S1 and T S2 and vanishes for T`T S1 and T b T S2 in agreement with the recent experimental results for HoMo 6 S 8 . The calculated temperature dependence of the dc resistivity shows a typical reentrant behaviour, characteristic for such ferromagnetic superconductors as ErRh 4 B 4 and HoMo 6 S 8 . Using a suitable choice of the model parameters we can obtain a reasonable fit of the recent experimental results for HoMo 6 S 8 , concerning the temperature dependence of the superconducting order parameter and dc resistivity.

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Phase Diagrams of the Reentrant Superconducting Re(1)1?xRe(2)xX (X = Rh4B4) Alloys.Application to Er1?xHoxX, Er1?xGdxX, Er1?xTmxX, HoxLu1?xX and Sm1?xErxX

awska¹,

Matlak²

1999

phys. stat. sol. (b)

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We consider a simplified version of the s–f model, supplemented by the intersite Cooper pair interaction between conduction electrons with opposite spins to investigate the ferromagnetic and superconducting properties of an alloy Re1‐x(1)Re(2)xX (Re(1), Re(2) rare earth elements, X = Rh4B4) using the virtual crystal approximation (VCA). For a suitable choice of the model parameters we can reproduce the phase boundaries of the experimentally measured phase diagrams for Er1—xHoxX, Er1—xGdxX, Er1—xTmxX, HoxLu1—xX and Sm1—xErxX alloys.

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Coexistence of superconductivity and magnetism theoretical predictions and experimental results

Cited by 334 publications

References 131 publications

Magnetism and superconductivity in (RE) Ni2B2C: The case of TmNi2B2C

Magnetism and superconductivity in (RE) Ni2B2C: The case of TmNi2B2C

Reentrant Superconductivity in HoMo6S8

Phase Diagrams of the Reentrant Superconducting Re(1)1?xRe(2)xX (X = Rh4B4) Alloys.Application to Er1?xHoxX, Er1?xGdxX, Er1?xTmxX, HoxLu1?xX and Sm1?xErxX

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