This library provide numerical results of s-wave Caroli-de Gennes-Matricon mode (CdGM mode) at
$T/T_c=0.3, 0.5, 0.8$.
You can get the eigenenergy, eigenfunction and pair potential at each temperature.
Description
It is known that there are low-energy excitation levels inside the s-wave vortex core in the superconductor.
These states are got by solving following Bogoliubov-de Gennes equation(BdG eq) self-consistently.
Here, BdG eq is rewritten in dimensionless form using Pippard length $\xi_{0} = \hbar v_{F}/\Delta_{0}$ and zero-temperature bulk gap $\Delta_{0}$.
$f(E_{q})$ is Fermi distribution function. Solutions in an isolated vortex, especially CdGM mode is given by following form.
Here, $n$ corresponds to angular momentum quantum number, i.e. CdGM mode is characterized by this number. In this library, the range of $n$ is integers of in $[-100, 99]$. Note that the part of $u_{n}(r), v_{n}(r)$ in the right side of above formula is one of the target of this library, not the left side of it.
"""Sample python code"""fromsc_vortex_2d.vorteximportVortexInstanceT03fromscipyimportinterpolateinstance: VortexInstanceT03=VortexInstanceT03()
delta: interpolate.CubicSpline=instance.get_pair_potential()
e0: float=instance.get_ith_eigen_energy(0) # lowest energy level in the region of e > 0.u0, v0=instance.get_ith_eigen_func(0) # get wave functionsparams=instance.Parameters# Parameters of the system. Enum.
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