Landau-Bogolubov Energy Spectrum of Superconductors

TL;DR

This paper reveals that the energy spectrum of superconductors mirrors that of superfluid helium, suggesting superconductivity is fundamentally similar to superfluidity but involving charged particles.

Contribution

It demonstrates the equivalence of the elementary excitation spectrum in superconductors and superfluid helium, linking superconductivity to superfluidity for charged particles.

Findings

Dispersion relation in superconductors matches that in superfluid helium.

Superconductivity is analogous to superfluidity for charged particles.

Energy spectrum of elementary excitations is identical in both systems.

Abstract

We demonstrate that a dispersion relation of elementary excitations in the Fermi liquid as a superconductor is identical to the one in a quantum liquid HeII. Hence, we show that the superconductivity is, in fact, the same as superfluidity, but for charged particles.