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Solution of 1D Schrodinger equation in Coupled Quantum Wells

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CQWS CODES

In this repository, we share the codes used to calculate Coupled Quantum Wells (CQWs) as implemented in the PhD project of O. Ruiz-Cigarrillo leadear by Dr. Raul E.Balderas-Navarro and L.F. Lastras-Martinez, in collaboration with C.A. Bravo-Velazquez and G.A. Martinez-Zepeda. These codes are continuously being developed by the group of Prof. Dr. A. Lastras-Martinez and Dra. L.E. Guevara-Macias through student C. Hernández-Juache. The first version refers to the initial implementation, while the second version was developed with the incorporation of AESTIMO code and SOLCORE. The objective of this repository is to enhance the codes used for numerical calculations in CQW structures and Quantum Wells with arbitrary potential.

Installation

We recommend creating a virtual environment, for example, a conda environment (see environment.yml) and installing through pip:

pip install .

To run the code in developed mode, we recommend installing in editable mode (-e) to help us improve our code:

pip install -e .

Example

The module needs to declare like a structure as a next example (like a AESTIMO): (see examples/numerical-results.ipynb)

class Structure(object): pass
s = Structure() # this will be our datastructure
s.structure_name="name"
# TEMPERATURE
s.T = 30 # in Kelvin
# Binding Energy
s.HHBinding =6.1e-3 #meV
s.LHBinding =6.8e-3 #meV
# Band Offset ratios
s.Qc = 0.65
s.Qv = 0.35
# Total subband number to be calculated for electrons
s.subbands = 2
# APPLIED ELECTRIC FIELD
s.Fapp = 0e4 # (V/m)
# For 1D, z-axis is choosen
s.gridfactor = 0.05#nm
# REGIONS
# Region input is a two-dimensional list input like AESTIMO(https://www.aestimosolver.org/) .
#         | Thickness (nm) | Material | Alloy fraction | Doping(cm^-3) | n or p type |
s.material =[

            [ 30.0, 'AlGaAs',   0.15,   0, 'n','Barrier'],
            [ 11.87,'GaAs'  ,      0,   0, 'n','Well'],
            [ 1.98, 'AlGaAs',   0.15,   0, 'n','Barrier'],
            [ 13.85,'GaAs'  ,      0,   0, 'n','Well'],
            [ 30.0, 'AlGaAs',   0.15,   0, 'n','Barrier'],
            ]

structure = s
nm = 1e-9
# RUN SIMULATION
model = solver.StructureFrom(structure) #
xaxis=model.xaxis/nm
cb=model.cb
vb=model.vb
results=solver.Solver(model).QuantumSolutions(absolute =True,Print=True)
solver.Solver(model).plotting(results,amp=10,axmin=30,axmax=30,eymin =-0.01,eymax=0.01,hymin=-0.2,hymax=-2,save=False)

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