Influence of landau quantization on behaviour of low carrier singlet and triplet superconductors

Abstract

We have investigated the influence of Landau quantization both on the field and temperature dependence of some properties of singlet and triplet type4 superconductors. In particular, we consider a multichannel structure of the superconducting gap function, oscillations of the critical temperature with increasing magnetic field and a possible reentrance of superconductivity. In addition, de Haas-van Alphen-like oscillations of the specific heat and its jumps at the critical temperatures have also been analyzed.

Unconventional Superconductivity in Strong Magnetic Field

“…Thus, all the channels for triplet superconductors are equivalent with respect to Cooper pairing. The magnetic field dependence of the transition temperature Tc (B) displays characteristic magneto-quantum oscillations reflecting the Landau level structure [5].…”

“…[5]. The all possible gap amplitudes Δj, for a given Landau level n, vanish at the same temperature Tc.…”

“…The Landau quantization of charge carriers introduced into the BCS-type theory leads to quite new behaviour of the conventional type-II superconductors in a high magnetic field limit region [1][2][3][4][5]. In this paper we analyze the Landau quantization effects in superconductors with one of the simplest unconventional pairing neglecting both the Zeeman splitting and the spin-orbit interaction.…”

“…Here f(E) denotes the Fermi distribution function and Δ²k = |Δ|²+ |L"1 | 2 • For p-wave superconductors in a strong magnetic field we can define the superconducting order parameter in a way similar to that given in [6] (for details see [5])…”

“…The local, p-symmetry and spin independent interaction term Vkk'', which at zero magnetic field is proportional to the scalar product k. k', can be decomposed into the following sum of n -I-1 products whose form is analogous to that in [5]:…”