gftool.lattice.rectangular.dos

gftool.lattice.rectangular.dos(eps, half_bandwidth, scale)

DOS of non-interacting 2D rectangular lattice.

Parameters

epsfloat np.ndarray or float

DOS is evaluated at points eps.

half_bandwidthfloat

Half-bandwidth of the DOS, DOS(| eps | > half_bandwidth) = 0. The half_bandwidth corresponds to the nearest neighbor hopping \(t=D/2/(scale+1)\).

scalefloat

Relative scale of the different hoppings \(t_1=scale*t_2\). scale=1 corresponds to the square lattice.

Returns

dosfloat np.ndarray or float

The value of the DOS.

Examples

>>> eps = np.linspace(-1.1, 1.1, num=500)
>>> dos = gt.lattice.rectangular.dos(eps, half_bandwidth=1, scale=2)

>>> import matplotlib.pyplot as plt
>>> _ = plt.plot(eps, dos)
>>> _ = plt.xlabel(r"$\epsilon/D$")
>>> _ = plt.ylabel(r"DOS * $D$")
>>> _ = plt.axvline(0, color='black', linewidth=0.8)
>>> _ = plt.ylim(bottom=0)
>>> _ = plt.xlim(left=eps.min(), right=eps.max())
>>> plt.show()

(png, pdf)