# 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!](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5380/RevModPhys.56.99.pdf)  Vollhard

Normal  3He: an almost localized Fermi liquid 

- [New microscopic description of liquid 3He](https://scholar.google.com/citations?view_op=view_citation&hl=en&user=58amEmwAAAAJ&cstart=600&pagesize=100&sortby=pubdate&citation_for_view=58amEmwAAAAJ:XiSMed-E-HIC) 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](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5388/PU1958v001n01ABEH003086.pdf)

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

$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
 

# Parents

* Helium-three