Landau-Fermi liquid of helium-three

general

• What happens to Liquid Helium 3 very low Temperatures? By E. R. Dobbs, London ++++++

https://onlinelibrary.wiley.com/doi/pdf/10.1002/phbl.19760321214

• ”localised Fermi liquid” of helium-3 and small/large Fermi surface - microscopic theory! Vollhard

Normal 3He: an almost localized Fermi liquid

• New microscopic description of liquid 3He Authors JP Bouchaud, C Lhuillier

• Landau’s theory of Fermi liquids
  Florian Deman, Danil Platonov, Mobin Shakeri

https://phas.ubc.ca/~berciu/TEACHING/PHYS502/PROJECTS/FeLi.pdf

• Abrikosov-Khalatnikov Fermi liquid for Helium-3

$k_{He3} = 0.76 * 10^8 cm^{-1}$

$m_{eff} = 1.43 * m_{He_3}$

..... Fermi liquid parameters

• $\rho_{He^3} = m_{He^3} \frac{k_F^3}{3 \pi^3}$

$m_{He^3} = 6.64*10^{-24} g$, then $k_F \simeq 0.7*10^8 cm^{-1}$

• effective mass $m^\star_{He^3}$

specific heat slope $\frac{C}{T} \equiv \gamma \simeq 3 cal/(mole*deg^2)$ experimentally

as well as $\gamma = \frac{k_F m_F^\star}{3 \hbar^2}$

Therefore $m^\star_F = ?* m_{He^3}$

SNSs

• can we calculate the mass density of Glassons? what fraction of the total density is it?

from $k_F$ and $m_F$ we should be able to calculate the mass density of glassons.
Then compare with the density of $He^3$ as well as the density of amorphous solid!

fermion-glasson mass seems to be 1-2 order of magnitude LIGHTER THAN a light atom like helium-3

• density of fermions and their effective size

  $k_F \sim 1/a$ where $a$ is the interparticle distance