Temperature-Related Electronic Low-Lying States in Different Shapes In.1Ga.9N/GaN Double Quantum Wells under Size Effects
DOI:
https://doi.org/10.48048/tis.2022.5777Keywords:
Binding energy, Double quantum wells, Coupling, (In,Ga)N, TemperatureAbstract
In this paper, we report the electronic states of hydrogenic impurity in InGaN/GaN double quantum wells (DQWs) with different shapes using a numerical procedure within the effective mass approximation. The effects of temperature, impurity position and size on the 1S-, 2S- and 2P-low-lying states are investigated for rectangular, parabolic and triangular finite potential confinements. Our results reveal that the binding energy versus the well width displays a maximum value around the effective Bohr radius and a larger value is obtained for rectangular compared to parabolic and triangular profiles. Moreover, regardless the size and impurity’s position, it is found that the main impact of the temperature is to shrink the binding energy. It is obtained that the binding energy drop is about 3.48 meV for rectangular and 4.26 meV for both parabolic and triangular profiles. Moreover, as the impurity is moved from the right barrier center to the structure center, the 1S-binding energy improvement is about 77.6 % in rectangular whereas it exceeds 91.4 % for other profiles. It is established that the binding energy can be easily modulated by adjusting the temperature, structure size and impurity's position. The results we obtained agree quite well with the findings.
HIGHLIGHTS
- The maximum binding energy is obtained around the effective Bohr radius
- The binding energy is higher for rectangular shape compared to parabolic and triangular ones
- The main impact of the temperature is to shrink the binding energy
- The binding energy is improved with displacing the impurity toward the structure center
Downloads
References
JY Chang, SH Yen, YA Chang and YK Kuo. Simulation of high efficiency GaN/InGaN p-i-n solar cell with suppressed polarization and barrier effects. IEEE J. Quant. Electron. 2013; 49, 17-23.
J Wu, W Walukiewicz, KM Yu, W Shan and JW Ager. Superior radiation resistance of In1−xGaxN alloys: Full solar-spectrum photovoltaic material system. J. Appl. Phys. 2013; 94, 6477-82.
JJ Wierer, AJ Fischer and DD Koleske. The impact of piezoelectric polarization and nonradiative recombination on the performance of (0001) face GaN/InGaN photovoltaic devices. Appl. Phys. Lett. 2010; 96, 051107.
A Mesrane, A Mahrane, F Rahmoune and A Oulebsir. Temperature dependence of InGaN dual-junction solar cell. J. Electron. Mater. 2017; 46, 2451-9.
H Li, W Zhao, Y Liu, Y Liang, L Ma, M Zhu, C Yi, L Xiong and Y Gao. High-level-Fe-doped P-type ZnO nanowire array/n-GaN film for ultravioletfree white light-emitting diodes. Mater. Lett. 2019; 239, 45-7.
MD Brubaker, KL Genter, A Roshko, PT Blanchard, BT Spann, TE Harvey and KA Bertness. UV LEDs based on p-i-n core-shell AlGaN/GaN nanowire heterostructures grown by N-polar selective area epitaxy. Nanotechnology 2019; 30, 234001.
I Vurgaftman and JR Meyer. Band parameters for nitrogen-containing semiconductors. J. Appl. Phys. 2003; 94, 3675-96.
H El Ghazi and A Jorio. Temperature dependence of interband recombination energy in symmetric (In,Ga)N spherical quantum dot-quantum well. Phys. B Condens. Matter 2014; 432, 64-6.
AM Elabsy. Effect of the Gamma-X crossover on the binding energies of confined donors in single GaAs/AlxGa1xAs quantum-well microstructures. J. Phys. Condens. Matter 1994; 6, 10025.
P Nithiananthi and K Jayakumar. Diamagnetic susceptibility of hydrogenic donor impurity in low-dimensional semiconducting systems. Solid State Comm. 2006; 137, 427-30.
R Khordad. Effect of temperature on the binding energy of excited states in a ridge quantum wire. Phys. E Low Dimens. Syst. Nanostruct. 2009; 41, 543-7.
E Iqraoun, A Sali, A Rezzouk, E Feddi, F Dujardin, ME Mora-Ramos and CA Duque. Donor impurity-related photoionization cross section in GaAs cone-like quantum dots under applied electric field. Phil. Mag. 2017; 97, 1445-63.
L Aderras, A Bah, E Feddi, F Dujardin and CA Duque. Stark-shift of impurity fundamental state in a lens shaped quantum dot. Phys. E Low Dimens. Syst. Nanostruct. 2017; 89, 119-23.
H El Ghazi, R En-nadir, H Abboudi, F Jabbouti, A Jorio and I Zorkani. Two-dimensional electron gas modeling in strained InN/GaN hetero-interface under pressure and impurity effects. Phys. B Condens. Matter 2020; 582, 411951.
H El Ghazi, A Jorio and I Zorkani. Pressure-dependent shallow donor binding energy in InGaN/GaN square QWWs. Phys. B Condens. Matter. 2013; 410, 49-52.
A Sali and H Satori. The combined effect of pressure and temperature on the impurity binding energy in a cubic quantum dot using the FEM simulation. Superlattice. Microst. 2014; 69, 38-52.
R En-nadir, H El Ghazi, A Jorio and I Zorkani. Ground-state shallow-donor binding energy in (In,Ga)N/GaN double QWs under temperature, size and the impurity position effects. J. Model. Simulat. Mater. 2021; 4, 1-6.
K Batra and V Prasad. Finite difference calculation of optical properties of hydrogenic impurity in spherical quantum dot with parabolic confinement. Revista Mexicana de Física E 2018; 64, 7-15.
A Boda. Magnetic moment and susceptibility of an impurity in a parabolic quantum dot. J. Magn. Magn. Mater. 2019; 483, 83-8.
M Şahin and M Tomak. Electronic structure of a many-electron spherical quantum dot with an impurity. Phys. Rev. B 2005; 72, 125323.
S Wei and Q Chang. Hydrogenic impurity states in zinc-blende symmetric InGaN/GaN multiple quantum dots. Phys. E Low Dimens. Syst. Nanostruct. 2010; 43, 354-8.
E Sadeghi and E Naghdi. Effect of electric and magnetic fields on impurity binding energy in zinc-blend symmetric InGaN/GaN multiple quantum dots. Nano Convergence 2014; 1, 25.
JJ Liu, M Shen and SW Wang. The influence of compressive stress on shallow-donor impurity states in symmetric GaAs-Ga1−xAlxAs double quantum dots. J. Appl. Phys. 2007; 101, 073703.
J Zheng. Binding energy of hydrogenic impurity in GaAs/Ga1-xAlxAs multi-quantum-dot structure. Phys. E Low Dimens. Syst. Nanostruct. 2008; 40, 2879-83.
CP Liu, YL Lai and ZQ Chen. Interface characterization and indium content of indium-rich quantum dots in InGaN/GaN multiple quantum wells. Appl. Surf. Sci. 2006; 252, 3922-7.
E Kasapoglu. Binding energy of donor impurities in double inverse parabolic quantum wells under electric field. Phys. E Low Dimens. Syst. Nanostruct. 2009; 41, 1222-5.
H Akbas, C Dane, I Erdogan and O Akankan. Hydrogenic donor in asymmetric AlxLGa1− xLAs/GaAs/AlxRGa1−xRAs quantum wells. Phys. E Low Dimens. Syst. Nanostruct. 2014; 60, 196-9.
J Zhu, SL Ban and SH Ha. Built-in electric field effect on donor impurities in strained Wurtzite GaN/AlGaN asymmetric double quantum wells. Mod. Phys. Lett. B 2012; 26, 1250172.
YP Varshni. Temperature dependence of the energy gap in semiconductors. Physica 1967; 34, 149-54.
H El Ghazi, A Jorio and I Zorkani. Pressure-dependent of linear and nonlinear optical properties of (In,Ga)N/GaN spherical QD. Superlattic. Microst. 2014; 71, 211-6.
MH Gazzah, B Chouchen, A Fargi and H Belmabrouk. Electro-thermal modeling for InxGa1−xN/GaN based quantum well heterostructures. Mater. Sci. Semicond. Process. 2019; 93, 231-7.
W Belaid, H El Ghazi, I Zorkani and A Jorio. Pressure-related binding energy in (In,Ga)N/GaN double quantum wells under internal composition effects. Solid State Comm. 2021; 327, 114193.
M Barati, G Rezaei and MRK Vahdani. Binding energy of a hydrogenic donor impurity in an ellipsoidal finite‐potential quantum dot. Phys. Status Solidi 2007; 244, 2605-10.
RD Bella and K Navaneethakrishnan. Donor binding energies and spin - orbit coupling in a spherical quantum dot. Solid State Comm. 2004; 130, 773-6.
G Rezaei, N Doostimotlagh and B Vaseghi. Simultaneous effects of hydrostatic pressure and conduction band non-parabolicity on binding energies and diamagnetic susceptibility of a hydrogenic impurity in spherical quantum dots. Comm. Theor. Phys. 2011; 56, 377.
E Kasapoglu. The hydrostatic pressure and temperature effects on donor impurities in GaAs/Ga1−xAlxAs double quantum well under the external fields. Phys. Lett. A 2008; 373, 140-3.
W Belaid, H El Ghazi, I Zorkani and A Jorio. Impact of QW coupling on the binding energy in InGaN/GaN under the effects of the size, the impurity and the internal composition. MATEC Web Conf. 2020; 330, 01012.
Downloads
Published
Issue
Section
License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.



