hyperfine.superconductivity.pippard.j_0_t_wc

hyperfine.superconductivity.pippard.j_0_t_wc(T: Sequence[float], T_c: Annotated[float, slice(0, None, None)]) → Sequence[float]

Bardeen-Cooper-Schrieffer (BCS) range function \(J(0,T)\) (i.e., at \(R = 0\)).

This implementation assumes weak electron-phonon coupling.

Parameters:

• T – Absolute temperature (K).

• T_c – Superconducting transition temperature (K).

Returns:

The BCS range function at temperature \(T\).

Example

import numpy as np
import matplotlib.pyplot as plt
from hyperfine.superconductivity import pippard

T = np.linspace(0.0, 1.0, 100)
T_c = 1.0
plt.plot(T, pippard.j_0_t_wc(T, T_c), "-")
plt.xlabel("$T / T_{c}$")
plt.ylabel("$J(0,T)$")
plt.show()

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