
Superfluidity is a quantum state of matter where a fluid flows without viscosity, as observed in helium and superconductors.Superfluidity is a macroscopic quantum effect where a fluid moves without dissipation, has zero viscosity, and can flow through capillaries without resistance. It is observed in liquid helium-4 (bosons) at 2.17 K and in helium-3 (fermions) at about 2.6 mK.
In 1937, Pyotr Kapitsa in Cambridge discovered almost complete disappearance of viscosity in helium-4 below 2.17 K. Simultaneously, John Allen and Don Misener observed the fountain effect. In 1941, Lev Landau built a theoretical model, introducing the concepts of superfluid and normal components. The idea of connection with Bose-Einstein condensation, predicted by Satyendra Nath Bose and Albert Einstein, was proposed by Fritz London (not in the list). Superfluidity of He-3 was discovered in 1972 by Douglas Osheroff, Robert Richardson, and David Lee, and explained via Cooper pairing with anisotropy.
Superfluidity of helium-4 is due to the bosonic nature of atoms. At low temperatures, a macroscopic fraction of atoms occupies a single quantum state — a Bose-Einstein condensate forms. Elementary excitations — phonons and rotons — define the spectrum. According to Nöther's theorem, spontaneous breaking of gauge symmetry leads to a gapless mode of oscillations, providing superfluidity. The superfluid component flows without viscosity until the velocity exceeds a critical value determined by Landau's criterion. Superfluidity in helium-3 is more complex: atoms are fermions, they form Cooper pairs, turning into bosons, which then condense. This is analogous to superconductivity but with p-wave pairing, leading to anisotropic properties.
Superfluidity helps study quantum effects in the macroscopic world and cool superconducting magnets.
Superfluid helium-4 creates a fountain up to 40 cm high at the slightest thermal disturbance — this thermomechanical effect looks like a sudden geyser in a laboratory vessel.
| J_0 | variable | Bare superfluid stiffness (phase stiffness) — superfluid stiffness joule |
| ρ_s | variable | Superfluid mass density — superfluid density kilogram per cubic metre |
| m | variable | Effective mass of the superfluid particles (e.g., helium atom mass) — mass kilogram |























