Plasmon Mechanism of Superconductivity in the Multivalley Electron Gas

Takada, Yogo

doi:10.1143/jpsj.61.238

Cited by 35 publications

(56 citation statements)

References 16 publications

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“…Different theories suggest different explanations. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] However, except for the fact that if a material becomes magnetic it is not likely to become superconducting, it has so far not been possible to predict the existence or nonexistence of superconductivity in a given material at low temperatures by observation of its properties at higher temperatures. Nor has it been possible in general to accurately predict the magnitude of the superconducting critical temperature T c of a material from measurements of its normal-state physical properties.…”

Section: Introductionmentioning

confidence: 99%

Correlations between normal-state properties and superconductivity

Hirsch

1997

Phys. Rev. B

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Despite many years of intense theoretical effort it is still not possible to predict whether a material will be superconducting or not at low temperatures by measurement of its physical properties at higher temperatures. Nor is it possible in general to estimate the magnitude of the superconducting critical temperature T c from measurements of normal-state properties. Here we address these questions from a statistical point of view. The metallic elements in the first six rows of the periodic table are assumed to be a ''representative sample'' drawn from a larger set of materials, and various statistical measures of correlations between the magnitude of T c and a normal-state property, as well as between a normal-state property and the fact whether the material is or is not a superconductor, are considered. Thirteen normal-state physical properties are studied, some of which are believed to be important to determine superconducting properties within conventional BCS theory and others not. It is found that properties assumed to be important within BCS theory rank lowest in predictive power regarding whether a material is or is not a superconductor. Instead, properties with highest predictive power in this respect are found to be bulk modulus, work function and Hall coefficient. With respect to the magnitude of T c , it is found to be positively correlated with electronic heat capacity, magnetic susceptibility, and atomic volume, and negatively correlated with electrical and thermal conductivity and Debye temperature. No significant correlations with ionic mass and ionization potential are found. Consequences of these findings for the theoretical understanding of superconductivity are discussed. ͓S0163-1829͑97͒01314-3͔

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Section: Introductionmentioning

confidence: 99%

Correlations between normal-state properties and superconductivity

Hirsch

1997

Phys. Rev. B

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“…However, we believe that the inclusion of vertex corrections would not change the conclusions, because for f waves the strength of the Coulomb attraction is not as much overestimated by the polaron exchange as for s waves. 41 Another interesting question would be whether it is possible that at some densities s waves are favorable for the superconducting state and at other densities the higher-l pairing would lead to lower energy. Such an s-wave to p-wave transition has been reported by Takada 41 at r s = 4.7 while for higher densities the energy of p waves was lower.…”

Section: Discussionmentioning

confidence: 99%

“…Whether it is an appropriate approach it depends also on the angular momentum of the pairing potential and on the physical property one is interested. 16,41 …”

Section: Condensation Energy Calculationsmentioning

confidence: 99%

Condensation energy of the homogeneous electron gas from density-functional theory for superconductors

Wierzbowska

Krogh

2005

Phys. Rev. B

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The condensation energy of homogeneous electron gas is calculated within the density-functional theory for superconductors. Purely electronic considerations include the exchange energy exactly and the correlation energy on a level of the random phase approximation. Singlet superconductivity is assumed, and the Coulomb interaction is studied with a model pairing potential at angular momentum up to l = 9 and densities 1 ഛ r s ഛ 10. The homogeneous gas remains nonsuperconducting up to r s Ӎ 9. A very weak negative value of the condensation energy has been found for f waves and higher-l pairing at r s = 10.

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“…Intrinsic pairing (i.e where the effective electron-electron interaction acquires no additional enhancements from, for example, phonon based fluctuations) has been studied in some detail for single-band systems as noted [9][10][11], but only modestly for multi-band situations. The pairing tendencies also seem very much enhanced when dimensionality is reduced [25,26].…”

Section: I1 Symmetry and Higher Superconductivity In The Lower Elementsmentioning

confidence: 99%

“…More formally, the kernel of the Eliashberg equation contains contributions (especially from ladder diagrams) that can very much favor formation of a paired state [9][10][11]. In fact this may even be seen as the second of two possible symmetry breakings actually 'detected' by the presence of a vector potential, A.…”

mentioning

confidence: 99%

Symmetry and Higher Superconductivity in the Lower Elements

Ashcroft

2006

Symmetry and Heterogeneity in High Temperature Superconductors

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Abstract:At one atmosphere 29 elements are classified as superconductors; at high pressures there are to date an additional 23, many of these being drawn from the lighter elements. The number of superconductors for the elements in combination appears to be illimitable. Observed symmetries in these systems generally include orderings in both nuclear and electronic degrees of freedom. The fluctuations impelling order in the electron sub-system include those originating with the nuclear degrees of freedom but also with the electrons themselves, both itinerant and localized. For the elements in combination coherent multipole fluctuations in localized states may arise, and the relative contributions of such excitations to electron-pairing is then of some especial interest. When the elements are placed in combination the effects of external pressure may be replicated in part by an equivalent internal pressure, this resulting from a form of chemical pre-compression.

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Plasmon Mechanism of Superconductivity in the Multivalley Electron Gas

Cited by 35 publications

References 16 publications

Correlations between normal-state properties and superconductivity

Correlations between normal-state properties and superconductivity

Condensation energy of the homogeneous electron gas from density-functional theory for superconductors

Symmetry and Higher Superconductivity in the Lower Elements

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