nextnano.NEGF - Software for
Quantum Transport

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===== Absorption Spectrum =====

With the optics features of **nextnano++**, the optical absorption spectrum can be calculated for various polarization directions.

==== Physics Model ====

The absorption rate in a semiconductor can be written as

\[
 R_{ba} = \frac{2}{V} \sum_{k_a} \sum_{k_b} \frac{2 \pi}{ \hbar} |H_{ba}| ^2 \delta(E_b - E_a -\hbar \omega)(1-f_a) \cdot f_b,
\]

where the matrix element $|H_{ba}|$ depends on the polarization of light and the $k$ vector. 

==== Input File ====


===== Results =====
==== Transition Matrix Element ====
The transition matrix element $H_{ab}(k)$ is plotted as a function of ${\bf k}=(k_x,k_y)$ for a 1D structure in figure {{ref>absk}}


<figure absk>
;#;
<dataplot dimension=2 xlabel="k_x" ylabel="k_y" ylegends="" 600x400>

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-2.86253070831	-3.68039679527	18.976135565
-2.45359778404	-3.68039679527	18.4911005099
-2.04466485977	-3.68039679527	18.0333368486
-1.63573181629	-3.68039679527	17.6144846146
-1.22679889202	-3.68039679527	17.2548403603
-0.817865908146	-3.68039679527	16.9850741343
-0.408932954073	-3.68039679527	16.841855251
0	-3.68039679527	16.8558909691
0.408932954073	-3.68039679527	17.037907206
0.817865908146	-3.68039679527	17.3726879008
1.22679889202	-3.68039679527	17.8261951506
1.63573181629	-3.68039679527	18.3601265917
2.04466485977	-3.68039679527	18.9437165002
2.45359778404	-3.68039679527	19.5576073311
2.86253070831	-3.68039679527	20.191634068
3.27146363258	-3.68039679527	20.8407740786
3.68039679527	-3.68039679527	21.5019767277
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0.817865908146	-3.27146363258	16.0469973586
1.22679889202	-3.27146363258	16.6606119554
1.63573181629	-3.27146363258	17.3515055582
2.04466485977	-3.27146363258	18.0666272813
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2.86253070831	-3.27146363258	19.4939192449
3.27146363258	-3.27146363258	20.2039827734
3.68039679527	-3.27146363258	20.9156999599
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1.22679889202	-2.86253070831	15.2452676019
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1.22679889202	-2.45359778404	13.5016049253
1.63573181629	-2.45359778404	14.9362099967
2.04466485977	-2.45359778404	16.1935862755
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3.27146363258	-1.63573181629	18.1349577527
3.68039679527	-1.63573181629	19.0278341885
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1.22679889202	1.63573181629	10.3276509375
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2.45359778404	1.63573181629	16.0323800722
2.86253070831	1.63573181629	17.1729167317
3.27146363258	1.63573181629	18.1401026617
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1.22679889202	2.45359778404	13.5089056849
1.63573181629	2.45359778404	14.94382248
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2.45359778404	2.45359778404	17.2649099107
2.86253070831	2.45359778404	18.1922447224
3.27146363258	2.45359778404	19.0440647097
3.68039679527	2.45359778404	19.8598947221
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1.22679889202	2.86253070831	15.25430823
1.63573181629	2.86253070831	16.2275260241
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3.27146363258	2.86253070831	19.6056571009
3.68039679527	2.86253070831	20.3696998496
-3.68039679527	3.27146363258	19.4875113007
-3.27146363258	3.27146363258	18.9134164495
-2.86253070831	3.27146363258	18.3432973558
-2.45359778404	3.27146363258	17.7755101662
-2.04466485977	3.27146363258	17.2091021082
-1.63573181629	3.27146363258	16.6504853456
-1.22679889202	3.27146363258	16.1247833018
-0.817865908146	3.27146363258	15.6857955982
-0.408932954073	3.27146363258	15.4110130965
0	3.27146363258	15.372789226
0.408932954073	3.27146363258	15.5994199761
0.817865908146	3.27146363258	16.0573711169
1.22679889202	3.27146363258	16.670961484
1.63573181629	3.27146363258	17.36177361
2.04466485977	3.27146363258	18.076743605
2.45359778404	3.27146363258	18.7922353531
2.86253070831	3.27146363258	19.5035381431
3.27146363258	3.27146363258	20.2132833873
3.68039679527	3.27146363258	20.924656024
-3.68039679527	3.68039679527	20.0126966093
-3.27146363258	3.68039679527	19.4915134835
-2.86253070831	3.68039679527	18.986241495
-2.45359778404	3.68039679527	18.5015372813
-2.04466485977	3.68039679527	18.0440668233
-1.63573181629	3.68039679527	17.625460498
-1.22679889202	3.68039679527	17.2660088169
-0.817865908146	3.68039679527	16.9963812999
-0.408932954073	3.68039679527	16.8532518043
0	3.68039679527	16.8673336386
0.408932954073	3.68039679527	17.0493553952
0.817865908146	3.68039679527	17.3840977491
1.22679889202	3.68039679527	17.8375155243
1.63573181629	3.68039679527	18.3712999775
2.04466485977	3.68039679527	18.95468408
2.45359778404	3.68039679527	19.5683151298
2.86253070831	3.68039679527	20.2020374442
3.27146363258	3.68039679527	20.8508396147
3.68039679527	3.68039679527	21.5116819931 
</dataplot>
;#;
<caption>Transition matrix element in ${\bf k}$ space</caption>
</figure>

==== Eigenvalues ====

The first eigenfunction's energy in the kp-space is plotted in figure {{ref>edisp}} for electrons, and in figure {{ref>hdisp}} for holes.


<figure edisp>
;#;
<dataplot dimension=2 xlabel="k_x" ylabel="k_y" ylegends="" 600x400>
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1.63573181629	-3.68039679527	-0.996999522479
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2.86253070831	-3.68039679527	-1.08997156397
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3.68039679527	-3.68039679527	-1.17996002526
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-1.63573181629	2.04466485977	-0.837626387718
-1.22679889202	2.04466485977	-0.817144790278
-0.817865908146	2.04466485977	-0.802347737925
-0.408932954073	2.04466485977	-0.793395750269
0	2.04466485977	-0.790399214046
0.408932954073	2.04466485977	-0.793395748035
0.817865908146	2.04466485977	-0.802347758722
1.22679889202	2.04466485977	-0.81714483008
1.63573181629	2.04466485977	-0.837626391556
2.04466485977	2.04466485977	-0.863643600896
2.45359778404	2.04466485977	-0.895118519529
2.86253070831	2.04466485977	-0.93204644267
3.27146363258	2.04466485977	-0.974456918553
3.68039679527	2.04466485977	-1.02238336854
-3.68039679527	2.45359778404	-1.0533761389
-3.27146363258	2.45359778404	-1.005500138
-2.86253070831	2.45359778404	-0.963174568799
-2.45359778404	2.45359778404	-0.926384270444
-2.04466485977	2.45359778404	-0.895118562864
-1.63573181629	2.45359778404	-0.869383335929
-1.22679889202	2.45359778404	-0.849218766808
-0.817865908146	2.45359778404	-0.834704917395
-0.408932954073	2.45359778404	-0.825941578854
0	2.45359778404	-0.823009170594
0.408932954073	2.45359778404	-0.825941572758
0.817865908146	2.45359778404	-0.834704965601
1.22679889202	2.45359778404	-0.849218758802
1.63573181629	2.45359778404	-0.869383359206
2.04466485977	2.45359778404	-0.895118573942
2.45359778404	2.45359778404	-0.926384338881
2.86253070831	2.45359778404	-0.963174547883
3.27146363258	2.45359778404	-1.00550010485
3.68039679527	2.45359778404	-1.05337611205
-3.68039679527	2.86253070831	-1.08997160372
-3.27146363258	2.86253070831	-1.04213393817
-2.86253070831	2.86253070831	-0.999869943392
-2.45359778404	2.86253070831	-0.963174568121
-2.04466485977	2.86253070831	-0.932046446674
-1.63573181629	2.86253070831	-0.906493973273
-1.22679889202	2.86253070831	-0.886541105137
-0.817865908146	2.86253070831	-0.872229650711
-0.408932954073	2.86253070831	-0.863611317462
0	2.86253070831	-0.860729808351
0.408932954073	2.86253070831	-0.863611362708
0.817865908146	2.86253070831	-0.872229622308
1.22679889202	2.86253070831	-0.886541128763
1.63573181629	2.86253070831	-0.906493956099
2.04466485977	2.86253070831	-0.932046436556
2.45359778404	2.86253070831	-0.963174552576
2.86253070831	2.86253070831	-0.999869959015
3.27146363258	2.86253070831	-1.04213390125
3.68039679527	2.86253070831	-1.08997163419
-3.68039679527	3.27146363258	-1.13216657926
-3.27146363258	3.27146363258	-1.0843558735
-2.86253070831	3.27146363258	-1.0421338984
-2.45359778404	3.27146363258	-1.00550012244
-2.04466485977	3.27146363258	-0.974456849719
-1.63573181629	3.27146363258	-0.949011942158
-1.22679889202	3.27146363258	-0.929180464912
-0.817865908146	3.27146363258	-0.914984813342
-0.408932954073	3.27146363258	-0.906450384099
0	3.27146363258	-0.903598376688
0.408932954073	3.27146363258	-0.906450417517
0.817865908146	3.27146363258	-0.914984811351
1.22679889202	3.27146363258	-0.929180458738
1.63573181629	3.27146363258	-0.949012009122
2.04466485977	3.27146363258	-0.974456867107
2.45359778404	3.27146363258	-1.00550011937
2.86253070831	3.27146363258	-1.04213388878
3.27146363258	3.27146363258	-1.08435584787
3.68039679527	3.27146363258	-1.13216664005
-3.68039679527	3.68039679527	-1.17996002526
-3.27146363258	3.68039679527	-1.13216659196
-2.86253070831	3.68039679527	-1.08997156397
-2.45359778404	3.68039679527	-1.05337606782
-2.04466485977	3.68039679527	-1.02238335793
-1.63573181629	3.68039679527	-0.996999522479
-1.22679889202	3.68039679527	-0.977233995321
-0.817865908146	3.68039679527	-0.963099269308
-0.408932954073	3.68039679527	-0.954608275125
0	3.68039679527	-0.951771197426
0.408932954073	3.68039679527	-0.954608246015
0.817865908146	3.68039679527	-0.963099333448
1.22679889202	3.68039679527	-0.97723403565
1.63573181629	3.68039679527	-0.996999511551
2.04466485977	3.68039679527	-1.02238333506
2.45359778404	3.68039679527	-1.05337612503
2.86253070831	3.68039679527	-1.08997159884
3.27146363258	3.68039679527	-1.13216656366
3.68039679527	3.68039679527	-1.17995996739 
</dataplot>
;#;
<caption>Energy dispersion relation in the $\vec{k}$ space for electrons</caption>
</figure>


<figure hdisp>
;#;
<dataplot dimension=2 xlabel="k_x" ylabel="k_y" ylegends="" 600x400>
-3.68039679527	-3.68039679527	5.32195115805
-3.27146363258	-3.68039679527	5.14027884292
-2.86253070831	-3.68039679527	4.97289872625
-2.45359778404	-3.68039679527	4.82150057848
-2.04466485977	-3.68039679527	4.68802902715
-1.63573181629	-3.68039679527	4.57461229112
-1.22679889202	-3.68039679527	4.48343380365
-0.817865908146	-3.68039679527	4.41654819403
-0.408932954073	-3.68039679527	4.37565907366
0	-3.68039679527	4.3618992577
0.408932954073	-3.68039679527	4.3756590303
0.817865908146	-3.68039679527	4.41654822468
1.22679889202	-3.68039679527	4.4834338311
1.63573181629	-3.68039679527	4.57461234221
2.04466485977	-3.68039679527	4.68802903982
2.45359778404	-3.68039679527	4.82150056386
2.86253070831	-3.68039679527	4.97289872152
3.27146363258	-3.68039679527	5.14027886168
3.68039679527	-3.68039679527	5.32195113308
-3.68039679527	-3.27146363258	5.1402788242
-3.27146363258	-3.27146363258	4.95002862907
-2.86253070831	-3.27146363258	4.77360208181
-2.45359778404	-3.27146363258	4.61291020168
-2.04466485977	-3.27146363258	4.47022607936
-1.63573181629	-3.27146363258	4.34811768349
-1.22679889202	-3.27146363258	4.24930149758
-0.817865908146	-3.27146363258	4.17640482466
-0.408932954073	-3.27146363258	4.13165697153
0	-3.27146363258	4.11656537092
0.408932954073	-3.27146363258	4.13165697486
0.817865908146	-3.27146363258	4.17640481493
1.22679889202	-3.27146363258	4.24930147615
1.63573181629	-3.27146363258	4.34811768765
2.04466485977	-3.27146363258	4.47022606074
2.45359778404	-3.27146363258	4.61291022306
2.86253070831	-3.27146363258	4.77360208073
3.27146363258	-3.27146363258	4.95002866071
3.68039679527	-3.27146363258	5.14027881135
-3.68039679527	-2.86253070831	4.97289875816
-3.27146363258	-2.86253070831	4.77360211484
-2.86253070831	-2.86253070831	4.58746914725
-2.45359778404	-2.86253070831	4.41662003406
-2.04466485977	-2.86253070831	4.2636719
-1.63573181629	-2.86253070831	4.13169214932
-1.22679889202	-2.86253070831	4.02404304875
-0.817865908146	-2.86253070831	3.94408567842
-0.408932954073	-2.86253070831	3.89475285163
0	-2.86253070831	3.87806893214
0.408932954073	-2.86253070831	3.89475282867
0.817865908146	-2.86253070831	3.94408567659
1.22679889202	-2.86253070831	4.02404307988
1.63573181629	-2.86253070831	4.13169211593
2.04466485977	-2.86253070831	4.26367189888
2.45359778404	-2.86253070831	4.416620012
2.86253070831	-2.86253070831	4.58746917358
3.27146363258	-2.86253070831	4.77360214124
3.68039679527	-2.86253070831	4.97289871743
-3.68039679527	-2.45359778404	4.82150059574
-3.27146363258	-2.45359778404	4.61291023153
-2.86253070831	-2.45359778404	4.41662001445
-2.45359778404	-2.45359778404	4.23492446809
-2.04466485977	-2.45359778404	4.0707758082
-1.63573181629	-2.45359778404	3.92778175488
-1.22679889202	-2.45359778404	3.81006273034
-0.817865908146	-2.45359778404	3.72190172715
-0.408932954073	-2.45359778404	3.66716493833
0	-2.45359778404	3.64858981456
0.408932954073	-2.45359778404	3.6671649589
0.817865908146	-2.45359778404	3.72190173976
1.22679889202	-2.45359778404	3.81006273843
1.63573181629	-2.45359778404	3.92778176229
2.04466485977	-2.45359778404	4.07077586784
2.45359778404	-2.45359778404	4.23492443539
2.86253070831	-2.45359778404	4.41662000735
3.27146363258	-2.45359778404	4.61291021878
3.68039679527	-2.45359778404	4.82150057518
-3.68039679527	-2.04466485977	4.68802906722
-3.27146363258	-2.04466485977	4.47022602655
-2.86253070831	-2.04466485977	4.26367184953
-2.45359778404	-2.04466485977	4.07077584514
-2.04466485977	-2.04466485977	3.89478225296
-1.63573181629	-2.04466485977	3.7398423514
-1.22679889202	-2.04466485977	3.61092352187
-0.817865908146	-2.04466485977	3.51342774863
-0.408932954073	-2.04466485977	3.45243254544
0	-2.04466485977	3.43164569442
0.408932954073	-2.04466485977	3.45243250478
0.817865908146	-2.04466485977	3.51342771103
1.22679889202	-2.04466485977	3.61092354989
1.63573181629	-2.04466485977	3.73984236044
2.04466485977	-2.04466485977	3.894782275
2.45359778404	-2.04466485977	4.07077585784
2.86253070831	-2.04466485977	4.26367189768
3.27146363258	-2.04466485977	4.47022604735
3.68039679527	-2.04466485977	4.68802907299
-3.68039679527	-1.63573181629	4.57461233686
-3.27146363258	-1.63573181629	4.3481177132
-2.86253070831	-1.63573181629	4.13169212828
-2.45359778404	-1.63573181629	3.92778173958
-2.04466485977	-1.63573181629	3.73984237907
-1.63573181629	-1.63573181629	3.57251749274
-1.22679889202	-1.63573181629	3.43165119906
-0.817865908146	-1.63573181629	3.3239276393
-0.408932954073	-1.63573181629	3.25592788016
0	-1.63573181629	3.23263615961
0.408932954073	-1.63573181629	3.25592790402
0.817865908146	-1.63573181629	3.32392762667
1.22679889202	-1.63573181629	3.43165119761
1.63573181629	-1.63573181629	3.57251750549
2.04466485977	-1.63573181629	3.7398423795
2.45359778404	-1.63573181629	3.92778175095
2.86253070831	-1.63573181629	4.13169214428
3.27146363258	-1.63573181629	4.34811773134
3.68039679527	-1.63573181629	4.57461231897
-3.68039679527	-1.22679889202	4.48343380803
-3.27146363258	-1.22679889202	4.24930149758
-2.86253070831	-1.22679889202	4.02404304149
-2.45359778404	-1.22679889202	3.81006272919
-2.04466485977	-1.22679889202	3.61092351641
-1.63573181629	-1.22679889202	3.43165120061
-1.22679889202	-1.22679889202	3.27890195817
-0.817865908146	-1.22679889202	3.16069886045
-0.408932954073	-1.22679889202	3.08534486519
0	-1.22679889202	3.05938600272
0.408932954073	-1.22679889202	3.08534484889
0.817865908146	-1.22679889202	3.16069883522
1.22679889202	-1.22679889202	3.27890196006
1.63573181629	-1.22679889202	3.43165118841
2.04466485977	-1.22679889202	3.61092356056
2.45359778404	-1.22679889202	3.81006272677
2.86253070831	-1.22679889202	4.02404306176
3.27146363258	-1.22679889202	4.24930146154
3.68039679527	-1.22679889202	4.48343381062
-3.68039679527	-0.817865908146	4.41654819403
-3.27146363258	-0.817865908146	4.17640481108
-2.86253070831	-0.817865908146	3.94408565546
-2.45359778404	-0.817865908146	3.72190171366
-2.04466485977	-0.817865908146	3.51342769674
-1.63573181629	-0.817865908146	3.32392764285
-1.22679889202	-0.817865908146	3.16069886045
-0.817865908146	-0.817865908146	3.03297203742
-0.408932954073	-0.817865908146	2.95076172742
0	-0.817865908146	2.92227889516
0.408932954073	-0.817865908146	2.95076176227
0.817865908146	-0.817865908146	3.03297207263
1.22679889202	-0.817865908146	3.16069883522
1.63573181629	-0.817865908146	3.3239275849
2.04466485977	-0.817865908146	3.51342775781
2.45359778404	-0.817865908146	3.7219016958
2.86253070831	-0.817865908146	3.94408568251
3.27146363258	-0.817865908146	4.17640480232
3.68039679527	-0.817865908146	4.41654817268
-3.68039679527	-0.408932954073	4.37565907366
-3.27146363258	-0.408932954073	4.13165696313
-2.86253070831	-0.408932954073	3.89475283183
-2.45359778404	-0.408932954073	3.66716498152
-2.04466485977	-0.408932954073	3.45243256257
-1.63573181629	-0.408932954073	3.25592789062
-1.22679889202	-0.408932954073	3.08534486519
-0.817865908146	-0.408932954073	2.95076172742
-0.408932954073	-0.408932954073	2.86350371539
0	-0.408932954073	2.8331376035
0.408932954073	-0.408932954073	2.86350373777
0.817865908146	-0.408932954073	2.95076176227
1.22679889202	-0.408932954073	3.08534484889
1.63573181629	-0.408932954073	3.25592791219
2.04466485977	-0.408932954073	3.45243256131
2.45359778404	-0.408932954073	3.66716495683
2.86253070831	-0.408932954073	3.8947528626
3.27146363258	-0.408932954073	4.13165701038
3.68039679527	-0.408932954073	4.37565902447
-3.68039679527	0	4.3618992577
-3.27146363258	0	4.1165653562
-2.86253070831	0	3.87806889003
-2.45359778404	0	3.64858982357
-2.04466485977	0	3.43164571422
-1.63573181629	0	3.23263615515
-1.22679889202	0	3.05938600272
-0.817865908146	0	2.92227889516
-0.408932954073	0	2.83313763509
0	0	2.8020631268
0.408932954073	0	2.83313763509
0.817865908146	0	2.92227889516
1.22679889202	0	3.05938600272
1.63573181629	0	3.23263615515
2.04466485977	0	3.43164571422
2.45359778404	0	3.64858982357
2.86253070831	0	3.87806889003
3.27146363258	0	4.1165653562
3.68039679527	0	4.3618992577
-3.68039679527	0.408932954073	4.37565902447
-3.27146363258	0.408932954073	4.13165701038
-2.86253070831	0.408932954073	3.8947528626
-2.45359778404	0.408932954073	3.66716495683
-2.04466485977	0.408932954073	3.45243256131
-1.63573181629	0.408932954073	3.25592791219
-1.22679889202	0.408932954073	3.08534484889
-0.817865908146	0.408932954073	2.95076176227
-0.408932954073	0.408932954073	2.86350373777
0	0.408932954073	2.8331376035
0.408932954073	0.408932954073	2.86350371539
0.817865908146	0.408932954073	2.95076172742
1.22679889202	0.408932954073	3.08534486519
1.63573181629	0.408932954073	3.25592789062
2.04466485977	0.408932954073	3.45243256257
2.45359778404	0.408932954073	3.66716498152
2.86253070831	0.408932954073	3.89475283183
3.27146363258	0.408932954073	4.13165696313
3.68039679527	0.408932954073	4.37565907366
-3.68039679527	0.817865908146	4.41654817268
-3.27146363258	0.817865908146	4.17640480232
-2.86253070831	0.817865908146	3.94408568251
-2.45359778404	0.817865908146	3.7219016958
-2.04466485977	0.817865908146	3.51342775781
-1.63573181629	0.817865908146	3.3239275849
-1.22679889202	0.817865908146	3.16069883522
-0.817865908146	0.817865908146	3.03297207263
-0.408932954073	0.817865908146	2.95076176227
0	0.817865908146	2.92227889516
0.408932954073	0.817865908146	2.95076172742
0.817865908146	0.817865908146	3.03297203742
1.22679889202	0.817865908146	3.16069886045
1.63573181629	0.817865908146	3.32392764285
2.04466485977	0.817865908146	3.51342769674
2.45359778404	0.817865908146	3.72190171366
2.86253070831	0.817865908146	3.94408565546
3.27146363258	0.817865908146	4.17640481108
3.68039679527	0.817865908146	4.41654819403
-3.68039679527	1.22679889202	4.48343381062
-3.27146363258	1.22679889202	4.24930146154
-2.86253070831	1.22679889202	4.02404306176
-2.45359778404	1.22679889202	3.81006272677
-2.04466485977	1.22679889202	3.61092356056
-1.63573181629	1.22679889202	3.43165118841
-1.22679889202	1.22679889202	3.27890196006
-0.817865908146	1.22679889202	3.16069883522
-0.408932954073	1.22679889202	3.08534484889
0	1.22679889202	3.05938600272
0.408932954073	1.22679889202	3.08534486519
0.817865908146	1.22679889202	3.16069886045
1.22679889202	1.22679889202	3.27890195817
1.63573181629	1.22679889202	3.43165120061
2.04466485977	1.22679889202	3.61092351641
2.45359778404	1.22679889202	3.81006272919
2.86253070831	1.22679889202	4.02404304149
3.27146363258	1.22679889202	4.24930149758
3.68039679527	1.22679889202	4.48343380803
-3.68039679527	1.63573181629	4.57461231897
-3.27146363258	1.63573181629	4.34811773134
-2.86253070831	1.63573181629	4.13169214428
-2.45359778404	1.63573181629	3.92778175095
-2.04466485977	1.63573181629	3.7398423795
-1.63573181629	1.63573181629	3.57251750549
-1.22679889202	1.63573181629	3.43165119761
-0.817865908146	1.63573181629	3.32392762667
-0.408932954073	1.63573181629	3.25592790402
0	1.63573181629	3.23263615961
0.408932954073	1.63573181629	3.25592788016
0.817865908146	1.63573181629	3.3239276393
1.22679889202	1.63573181629	3.43165119906
1.63573181629	1.63573181629	3.57251749274
2.04466485977	1.63573181629	3.73984237907
2.45359778404	1.63573181629	3.92778173958
2.86253070831	1.63573181629	4.13169212828
3.27146363258	1.63573181629	4.3481177132
3.68039679527	1.63573181629	4.57461233686
-3.68039679527	2.04466485977	4.68802907299
-3.27146363258	2.04466485977	4.47022604735
-2.86253070831	2.04466485977	4.26367189768
-2.45359778404	2.04466485977	4.07077585784
-2.04466485977	2.04466485977	3.894782275
-1.63573181629	2.04466485977	3.73984236044
-1.22679889202	2.04466485977	3.61092354989
-0.817865908146	2.04466485977	3.51342771103
-0.408932954073	2.04466485977	3.45243250478
0	2.04466485977	3.43164569442
0.408932954073	2.04466485977	3.45243254544
0.817865908146	2.04466485977	3.51342774863
1.22679889202	2.04466485977	3.61092352187
1.63573181629	2.04466485977	3.7398423514
2.04466485977	2.04466485977	3.89478225296
2.45359778404	2.04466485977	4.07077584514
2.86253070831	2.04466485977	4.26367184953
3.27146363258	2.04466485977	4.47022602655
3.68039679527	2.04466485977	4.68802906722
-3.68039679527	2.45359778404	4.82150057518
-3.27146363258	2.45359778404	4.61291021878
-2.86253070831	2.45359778404	4.41662000735
-2.45359778404	2.45359778404	4.23492443539
-2.04466485977	2.45359778404	4.07077586784
-1.63573181629	2.45359778404	3.92778176229
-1.22679889202	2.45359778404	3.81006273843
-0.817865908146	2.45359778404	3.72190173976
-0.408932954073	2.45359778404	3.6671649589
0	2.45359778404	3.64858981456
0.408932954073	2.45359778404	3.66716493833
0.817865908146	2.45359778404	3.72190172715
1.22679889202	2.45359778404	3.81006273034
1.63573181629	2.45359778404	3.92778175488
2.04466485977	2.45359778404	4.0707758082
2.45359778404	2.45359778404	4.23492446809
2.86253070831	2.45359778404	4.41662001445
3.27146363258	2.45359778404	4.61291023153
3.68039679527	2.45359778404	4.82150059574
-3.68039679527	2.86253070831	4.97289871743
-3.27146363258	2.86253070831	4.77360214124
-2.86253070831	2.86253070831	4.58746917358
-2.45359778404	2.86253070831	4.416620012
-2.04466485977	2.86253070831	4.26367189888
-1.63573181629	2.86253070831	4.13169211593
-1.22679889202	2.86253070831	4.02404307988
-0.817865908146	2.86253070831	3.94408567659
-0.408932954073	2.86253070831	3.89475282867
0	2.86253070831	3.87806893214
0.408932954073	2.86253070831	3.89475285163
0.817865908146	2.86253070831	3.94408567842
1.22679889202	2.86253070831	4.02404304875
1.63573181629	2.86253070831	4.13169214932
2.04466485977	2.86253070831	4.2636719
2.45359778404	2.86253070831	4.41662003406
2.86253070831	2.86253070831	4.58746914725
3.27146363258	2.86253070831	4.77360211484
3.68039679527	2.86253070831	4.97289875816
-3.68039679527	3.27146363258	5.14027881135
-3.27146363258	3.27146363258	4.95002866071
-2.86253070831	3.27146363258	4.77360208073
-2.45359778404	3.27146363258	4.61291022306
-2.04466485977	3.27146363258	4.47022606074
-1.63573181629	3.27146363258	4.34811768765
-1.22679889202	3.27146363258	4.24930147615
-0.817865908146	3.27146363258	4.17640481493
-0.408932954073	3.27146363258	4.13165697486
0	3.27146363258	4.11656537092
0.408932954073	3.27146363258	4.13165697153
0.817865908146	3.27146363258	4.17640482466
1.22679889202	3.27146363258	4.24930149758
1.63573181629	3.27146363258	4.34811768349
2.04466485977	3.27146363258	4.47022607936
2.45359778404	3.27146363258	4.61291020168
2.86253070831	3.27146363258	4.77360208181
3.27146363258	3.27146363258	4.95002862907
3.68039679527	3.27146363258	5.1402788242
-3.68039679527	3.68039679527	5.32195113308
-3.27146363258	3.68039679527	5.14027886168
-2.86253070831	3.68039679527	4.97289872152
-2.45359778404	3.68039679527	4.82150056386
-2.04466485977	3.68039679527	4.68802903982
-1.63573181629	3.68039679527	4.57461234221
-1.22679889202	3.68039679527	4.4834338311
-0.817865908146	3.68039679527	4.41654822468
-0.408932954073	3.68039679527	4.3756590303
0	3.68039679527	4.3618992577
0.408932954073	3.68039679527	4.37565907366
0.817865908146	3.68039679527	4.41654819403
1.22679889202	3.68039679527	4.48343380365
1.63573181629	3.68039679527	4.57461229112
2.04466485977	3.68039679527	4.68802902715
2.45359778404	3.68039679527	4.82150057848
2.86253070831	3.68039679527	4.97289872625
3.27146363258	3.68039679527	5.14027884292
3.68039679527	3.68039679527	5.32195115805 
</dataplot>
;#;
<caption>Energy dispersion relation in the $\vec{k}$ space for holes</caption>
</figure>
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