Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field
An analytical model at low temperature and low field electron mobility of GaN has been developed. The electron mobility in GaN have been calculated using Relaxation Time Approximation method considering elastic process of acoustic phonon deformation potential scattering, acoustic piezoelectric scatt...
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| Format: | Article |
| Language: | English |
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Sumy State University
2011-01-01
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| Series: | Журнал нано- та електронної фізики |
| Subjects: | |
| Online Access: | http://jnep.sumdu.edu.ua/download/numbers/2011/1,%20Part%205/articles/jnep_2011_V3_N1(Part5)_1071-1080.pdf |
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| _version_ | 1850251992779194368 |
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| author | Souradeep Chakrabarti Shyamasree Gupta Chatterjee Somnath Chatterjee |
| author_facet | Souradeep Chakrabarti Shyamasree Gupta Chatterjee Somnath Chatterjee |
| author_sort | Souradeep Chakrabarti |
| collection | DOAJ |
| description | An analytical model at low temperature and low field electron mobility of GaN has been developed. The electron mobility in GaN have been calculated using Relaxation Time Approximation method considering elastic process of acoustic phonon deformation potential scattering, acoustic piezoelectric scattering and ionized impurity scattering, neutral impurity scattering, dislocation scattering. Ionized impurity scattering has been treated beyond the Born approximation using Dingle and Brooks- Herring analysis. The compensation ratio is used as a parameter with a realistic charge neutrality condition. Degeneracy is very important factor as it is used to imply different statistics (Maxwell – Boltzmann or Fermi – Dirac) at different temperature. Generalized M-B statistics are used throughout because the samples we have used to compare our results are highly Non-degenarate. The result shows that, the proposed model can accurately predict the electron mobility as a function of both the carrier concentration and the temperature upto 200 K. The discrepancy of this model above temperature 200 K presumably results from the following factors: ignoring the role of optical phonon, at low temperature consideration of parabolic band i.e. neglecting the effect of inter-velly scattering and ignoring the effect of very few interfacial charges in the degenerate layer at the GaN-substrate interface. |
| format | Article |
| id | doaj-art-82d784eeb59947f6bfb5ac5cdaa86d34 |
| institution | OA Journals |
| issn | 2077-6772 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Sumy State University |
| record_format | Article |
| series | Журнал нано- та електронної фізики |
| spelling | doaj-art-82d784eeb59947f6bfb5ac5cdaa86d342025-08-20T01:57:45ZengSumy State UniversityЖурнал нано- та електронної фізики2077-67722011-01-013110711080Modeling of Electron Mobility of GaN at Low Temperature and Low Electric FieldSouradeep ChakrabartiShyamasree Gupta ChatterjeeSomnath ChatterjeeAn analytical model at low temperature and low field electron mobility of GaN has been developed. The electron mobility in GaN have been calculated using Relaxation Time Approximation method considering elastic process of acoustic phonon deformation potential scattering, acoustic piezoelectric scattering and ionized impurity scattering, neutral impurity scattering, dislocation scattering. Ionized impurity scattering has been treated beyond the Born approximation using Dingle and Brooks- Herring analysis. The compensation ratio is used as a parameter with a realistic charge neutrality condition. Degeneracy is very important factor as it is used to imply different statistics (Maxwell – Boltzmann or Fermi – Dirac) at different temperature. Generalized M-B statistics are used throughout because the samples we have used to compare our results are highly Non-degenarate. The result shows that, the proposed model can accurately predict the electron mobility as a function of both the carrier concentration and the temperature upto 200 K. The discrepancy of this model above temperature 200 K presumably results from the following factors: ignoring the role of optical phonon, at low temperature consideration of parabolic band i.e. neglecting the effect of inter-velly scattering and ignoring the effect of very few interfacial charges in the degenerate layer at the GaN-substrate interface.http://jnep.sumdu.edu.ua/download/numbers/2011/1,%20Part%205/articles/jnep_2011_V3_N1(Part5)_1071-1080.pdfModeling of electron mobilityM-B statisticsDegeneracyLow temperature (2)Elastic scatteringsAcoustic phonon deformation potentialAcoustic phonon piezoelectricIonized impurityDislocation scatteringNeutral impurity. |
| spellingShingle | Souradeep Chakrabarti Shyamasree Gupta Chatterjee Somnath Chatterjee Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field Журнал нано- та електронної фізики Modeling of electron mobility M-B statistics Degeneracy Low temperature (2) Elastic scatterings Acoustic phonon deformation potential Acoustic phonon piezoelectric Ionized impurity Dislocation scattering Neutral impurity. |
| title | Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field |
| title_full | Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field |
| title_fullStr | Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field |
| title_full_unstemmed | Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field |
| title_short | Modeling of Electron Mobility of GaN at Low Temperature and Low Electric Field |
| title_sort | modeling of electron mobility of gan at low temperature and low electric field |
| topic | Modeling of electron mobility M-B statistics Degeneracy Low temperature (2) Elastic scatterings Acoustic phonon deformation potential Acoustic phonon piezoelectric Ionized impurity Dislocation scattering Neutral impurity. |
| url | http://jnep.sumdu.edu.ua/download/numbers/2011/1,%20Part%205/articles/jnep_2011_V3_N1(Part5)_1071-1080.pdf |
| work_keys_str_mv | AT souradeepchakrabarti modelingofelectronmobilityofganatlowtemperatureandlowelectricfield AT shyamasreeguptachatterjee modelingofelectronmobilityofganatlowtemperatureandlowelectricfield AT somnathchatterjee modelingofelectronmobilityofganatlowtemperatureandlowelectricfield |