Abstract

A variety of superconducting materials exhibit multi-band behavior in a form of multicomponent Fermi surfaces. By using a two-band model with a pair hopping, we explain how the interband coupling affects the physical properties of multi-band superconductors. We determine the temperature dependence of the superconducting gap and the specific heat, which strongly diverge from the BCS-type behavior. The anisotropic gap for the system with the mixed gap symmetry is found. Additionally, the spectral function and density of states are significantly modified by the inter-orbital interactions. The results obtained for different symmetries of the order parameter are in a good agreement with the experimental findings for the iron-based superconductors and other multi-band systems.

Highlights

  • The discovery of superconductivity in multi-band materials opened a period of intensive studies of these systems [1, 2]

  • The calculations have been performed in the momentum space using a square lattice grid kx × ky = 300 × 300 and periodic boundary conditions, with the help of the graphic processor unit (GPU) acceleration described in [45]

  • We present and discuss the temperature dependence of the gaps and specific heat. In these sections we chose the s±-wave gap symmetry in both bands, what corresponds to the standard assumption for the iron-based superconductors

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Summary

INTRODUCTION

The discovery of superconductivity in multi-band materials opened a period of intensive studies of these systems [1, 2]. As a consequence of multi-band properties one can observe several order parameters of different magnitude [5, 6]. The Fermi surfaces and characteristic band structure of the iron-based superconductors are the consequences of the layered structure of these compounds. The conventional multi-band BCS-type and iron-based superconductors differ in their symmetry of the order parameter. In nearly magnetic Fe-based layered systems mediated by antiferromagnetic spin fluctuations, the s± symmetry with a sign reversal of the order parameter between different Fermi surface sheets can be favored [13, 30]. The unconventional properties are observed experimentally [31], e.g., in the measurements of energy gap or specific heat These observations can provide the information about the effective interactions in each band and the symmetry of the order parameter.

MODEL AND METHOD
Superconducting State
NUMERICAL RESULTS AND DISCUSSION
The Temperature Dependence of the Effective Superconducting Gaps
Specific Heat
Spectral Functions in the Case of
Additional Remarks and Comments
SUMMARY
DATA AVAILABILITY STATEMENT
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