Electron-Phonon or Hole Superconductivity in $MgB_2$?

Details Electron-Phonon or Hole Superconductivity in $MgB_2$? Electron-Phonon or Hole Superconductivity in $MgB_2$?

2001-02-27

arxiv.org/abs/cond-mat/0102479v2

Phys. Rev. B 64, 144523 (2001)

Physics

Condensed Matter

Superconductivity

Minor changes in wording in view of referee's comments; one curve added to fig. 11; under consideration for publication in Phy

Scientific paper

10.1103/PhysRevB.64.144523

The BCS electron-phonon mechanism and the unconventional 'hole mechanism' have been proposed as explanations for the high temperature superconductivity observed in $MgB_2$. It is proposed that a critical test of which theory is correct is the dependence of $T_c$ on hole doping: the hole mechanism predicts that $T_c$ will drop rapidly to zero as holes are added, while the electron-phonon mechanism appears to predict increasing $T_c$ for a substantial range of hole doping. Furthermore, the hole mechanism and electron-phonon mechanism differ qualitatively in their predictions of the effect on $T_c$ of change in the $B-B$ distances. We discuss predictions of the hole mechanism for a variety of observables as a function of doping, emphasizing the expected differences and similarities with the electron-phonon explanation. The hole mechanism predicts coherence length and penetration depth to increase and decrease monotonically with hole doping respectively.

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