nextnano³ - Tutorial

next generation 3D nano device simulator

1D Tutorial

Local density of states

Note: This tutorial's copyright is owned by Stefan Birner, www.nextnano.de.

Authors: Stefan Birner

If you want to obtain the input files that are used within this tutorial, please contact stefan.birner@nextnano.de.
-> 1D_LDOS_GaAs.in
 

Local density of states

-> 1D_LDOS_GaAs.in

Here, we calculate the local density of states LDOS(z,E) for a one-dimensional system of GaAs which is restricted to z > 0 nm.
At z <= 0 nm, there is an infinite barrier.

This LDOS can be derived analytically and reads

LDOS_1D(z,E) = 2 / (pi h_bar) (2m*/E)^1/2 sin²(kz)

where k = (2m*E)^1/2 / h_bar.

The following figure shows the calculated LDOS_1D(z,E) for z = [0 nm, 20 nm] and E = [0 eV, 0.3 eV].
The GaAs conduction band edge is set to 0 eV.
The units are [nm-1 eV-1].

The local density of states output LDOS(z,E) is contained in these files:
   sg_1band1/LocalDOS_cb001_qc001_sg001_deg001_dir_Kz001.dat / *.coord / *.fld

Local density of states for a 3D system restricted to z > 0 nm

The following plot is based on Fig. 1.11 (p. 30) of
     The Physics of Low-Dimensional Semiconductors - An Introduction
     John H. Davies
     Cambridge University Press (1998)

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