simmons¶
- Stoner.analysis.fitting.models.tunnelling.simmons(V, A, phi, d)[source]¶
Simmons model of electron tunnelling.
- Parameters:
V (array) – Bias voltage
A (float) – Area of barrier in micron^2
phi (float) – barrier height in eV
d (float) – barrier width in angstroms
- Returns:
Data for tunneling rate according to the Sommons model.
Note
Simmons model from Simmons J. App. Phys. 34 6 1963
Example
"""Example of nDimArrhenius Fit.""" from numpy import linspace, ones_like from numpy.random import normal from Stoner import Data from Stoner.analysis.fitting.models.tunnelling import simmons, Simmons # Make some data V = linspace(-4, 4, 101) I = simmons(V, 2500, 3.2, 15.0) + normal(size=len(V), scale=5e-7) dI = ones_like(V) * 500e-9 p0 = p0 = [2500, 3, 10.0] d = Data(V, I, dI, setas="xye", column_headers=["Bias", "Current", "Noise"]) d.curve_fit(simmons, p0=p0, result=True, header="curve_fit", maxfev=2000) d.setas = "xyey" d.plot(fmt=["r,", "b-"], capsize=1) d.annotate_fit( simmons, x=0.25, y=0.25, prefix="simmons", fontdict={"size": "x-small", "color": "blue"}, ) d.setas = "xye" fit = Simmons() d.lmfit(Simmons, p0=p0, result=True, header="lmfit", maxfev=2000) d.setas = "x...y" d.plot(fmt="g-", label="lmfit") d.annotate_fit( fit, x=0.65, y=0.25, prefix="Simmons", fontdict={"size": "x-small", "color": "green"}, ) d.ylabel = "Current (A)" d.xlabel = "Bias (V)" d.title = "Simmons Model test" d.yscale("symlog", linthresh=1e-5)