Effects of disorder on superconductivity of systems with coexisting itinerant electrons and local pairs

Abstract

We study the influence of diagonal disorder (random site energy) of local pair (LP) site energies on the superconducting properties of a system of coexisting local pairs and itinerant electrons described by the (hard-core) boson-fermion model.Our analysis shows that the properties of such a model with s-wave pairing can be very strongly affected by the diagonal disorder in LP subsystem (the randomness of the LP site energies). This is in contrast with the conventional s-wave BCS superconductors, which according to the Anderson's theorem are rather insensitive to the diagonal disorder (i.e. to nonmagnetic impurities). It has been found that the disorder effects depend in a crucial way on the total particle concentration n and the LP level position o Δ and depending on the parameters the system can exhibit various types of superconducting behaviour, including the LP-like, intermediate (MIXED) and the "BCS"-like.In the extended range of { n , o Δ } the superconducting ordering is suppressed by the randomness of the LP site energies and the increasing disorder induces a changeover from the MIXEDlike behaviour to the BCS-like one, connected with abrupt reduction of c T and energy gap to zero. However, there also exist a definite range of { n , o Δ } in which the increasing disorder has a quite different effect: namely it can substantially enhance c T or even lead to the phenomenon which can be called disorder induced superconductivity. Another interesting effect is a possibility of a disorder induced bound pair formation of itinerant electrons, connected with the change-over to the LP-like regime.Running title: "Effects of disorder on superconductivity"

Spin gauge theory, duality and fermion pairing

“…As we will see below, the nonlocal interaction appears naturally if we consider Abrikosov-Nielsen-Olesen (ANO) vortex strings in the Abelian Higgs model interacting with charged fermions. Such a system, called a bosonfermion model, was originally proposed as a model of high-T c superconductivity [11][12][13][14][15][16][17][18][19][20][21], but also appear in models of superconductor-insulator transitions [22][23][24], of BCS-BEC crossover [25,26], and of charged Bose liquids [27]. The system we consider has certain differences with the boson-fermion model, in particular we do not consider the φ ψψ Yukawa interaction of the fermions with the scalar Higgs field.…”

Spin gauge theory, duality and fermion pairing

“…As we will see below, the nonlocal interaction appears naturally if we consider Abrikosov-Nielsen-Olesen (ANO) vortex strings in the Abelian Higgs model interacting with charged fermions. Such a system, called a boson-fermion model, was originally proposed as a model of high-T c superconductivity [15][16][17][18][19][20][21][22][23], but also appear in models of superconductor-insulator transitions [24][25][26], of BCS-BEC crossover [27,28], and of charged Bose liquids [29]. The system we consider has certain differences with the bosonfermion model, in particular we do not consider the φ ψψ Yukawa interaction of the fermions with the scalar Higgs field.…”

On the Boson–Fermion resonant model on a lattice

“…[18]. Also, disorder and inhomogeneity effects have been recently inves-tigated in the (hard core) boson-fermion model for non-conventional superconductors [26,27].…”