| ... | @@ -92,5 +92,9 @@ The BdG functional is equivalent to Bogoliubov de-Gennes mean-field approximati |
... | @@ -92,5 +92,9 @@ The BdG functional is equivalent to Bogoliubov de-Gennes mean-field approximati |
|
|
\frac{\tau_{\downarrow}}{2}
|
|
\frac{\tau_{\downarrow}}{2}
|
|
|
+ g\nu^{\dagger}\nu
|
|
+ g\nu^{\dagger}\nu
|
|
|
```
|
|
```
|
|
|
The (bare) coupling constant $`g`$ is related to scattering length by the formula $`g=4\pi\hbar^2a/m`$.
|
|
The (bare) coupling constant $`g`$ is related to scattering length by the formula $`g=4\pi\hbar^2a/m`$.
|
|
|
|
|
|
|
\ No newline at end of file |
|
Below we provide predictions of BdG functional for total energy and paring gap as a function of coupling constant $`-ak_F`$ computed for uniform and spin-symmetric system. Results are compared with predictions of BCS theory, and as expected the agreement is observed for $`-ak_F`<1$.
|
|
|
|
|
|
|
|
|
|
|
|
|
