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Transmission Coefficient of an Electron through a Heterostructure with Nanometer-Thick Trapezoidal Barrier Grown on an Anisotropic Material

Journal of Mathematical and Fundamental Sciences · Vol. 38 No. 1 (2013) · hlm. 41–50

DOI
10.5614/itbj.sci.2006.38.1.3
ISSN
2338-5510, 2337-5760
Terbit
2013-12-31
Penerbit
Directorate for Research and Innovation (DRI) ITB
Bahasa
eng

Abstrak

Transmission coefficient of an electron incident on a heterostructure potential with nanometer-thick trapezoidal barrier grown on anisotropic materials are derived by solving the effective-mass equation including off-diagonal effective-mass tensor elements. The boundary condition for an electron wave function (under the effective-mass approximation) at a heterostructure anisotropic junction is suggested and included in the calculation. The analytic expressions are applied to the Si(110)/Si0.5Ge0.5/Si(110) heterostructure, in which the SiGe barrier thickness is several nanometers. It is assumed that the direction of propagation of the electrons makes an arbitrary angle with respect to the interfaces of the heterostructure and the effective mass of the electron is position dependent. The transmission coefficient is calculated for energy below the barrier height, varying the applied voltage to the barrier. The transmission coefficient depends on the valley where the electron belongs and it is not symmetric with respect to the incidence angle.

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39 penulis · 115 tautan kepenulisan bersama · 49 lintas organisasi

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  • Indonesia University of Education
  • Universitas Gadjah Mada
  • Bandung Institute of Technology
  • Universitas Halu Oleo
  • Universitas Syiah Kuala
  • University of Indonesia
  • Kangwon National University
  • Organisasi lain
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Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Ida UsmanUniversitas Halu Oleo3
Mursal MursalUniversitas Syiah Kuala3
Irma Rahma SuwarmaIndonesia University of Education2
Winny LiliawatiIndonesia University of Education2
Satria Zulkarnaen BisriTohoku University2
Rasih Yulia SariBandung Institute of Technology2
Darsikin DarsikinBandung Institute of Technology2
Hanindyo Adi PrabowoUniversitas Gadjah Mada1
Andriwibowo AndriwibowoUniversity of Indonesia1
Cornelius Devito AtmajaUniversitas Gadjah Mada1
Hari Eko PurwantoUniversitas Gadjah Mada1
Febrina Aspyan TariIndonesia University of Education1
Dian PurnamaIndonesia University of Education1
Sri HartatiUniversitas Gadjah Mada1
Fuji Hernawati KusumahAfiliasi tidak diketahui1
Aramel AramelAfiliasi tidak diketahui1
Alvian NoviyantoAfiliasi tidak diketahui1
Akmal ZulfiAfiliasi tidak diketahui1
Nurul Taufiqu RochmanAfiliasi tidak diketahui1
Achmad SamsudinIndonesia University of Education1
Yasiva Dortiana LimaIndonesia University of Education1
Duden SaepuzamanIndonesia University of Education1
Roslina RoslinaIndonesia University of Education1
Laurentius Hartanto NugrohoUniversitas Gadjah Mada1
Hastini Ma'rufahUniversitas Gadjah Mada1
Ida HamidahIndonesia University of Education1
Mimin IryantiIndonesia University of Education1
Suci RamayantiIndonesia University of Education1
Chang-Wook LeeKangwon National University1
Widyaningrum IndrasariState University of Jakarta1
S. AmiruddinUniversity of Nusa Cendana1
Sukirno SukirnoUniversitas Gadjah Mada1
L. UsmanUniversitas Halu Oleo1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journals.itb.ac.id/index.php/jmfs/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Transmission Coefficient of an Electron through a Heterostructure with Nanometer-Thick Trapezoidal Barrier Grown on an Anisotropic Material</dc:title>
	<dc:creator>Hasanah, Lilik</dc:creator>
	<dc:creator>Noor, Fatimah A.</dc:creator>
	<dc:creator>Khairurrijal, Khairurrijal</dc:creator>
	<dc:creator>Abdullah, Mikrajuddin</dc:creator>
	<dc:creator>Winata, Toto</dc:creator>
	<dc:creator>Sukirno, Sukirno</dc:creator>
	<dc:description xml:lang="en-US">Transmission coefficient of an electron incident on a heterostructure potential with nanometer-thick trapezoidal barrier grown on anisotropic materials are derived by solving the effective-mass equation including off-diagonal effective-mass tensor elements. The boundary condition for an electron wave function (under the effective-mass approximation) at a heterostructure anisotropic junction is suggested and included in the calculation. The analytic expressions are applied to the Si(110)/Si0.5Ge0.5/Si(110) heterostructure, in which the SiGe barrier thickness is several nanometers. It is assumed that the direction of propagation of the electrons makes an arbitrary angle with respect to the interfaces of the heterostructure and the effective mass of the electron is position dependent. The transmission coefficient is calculated for energy below the barrier height, varying the applied voltage to the barrier. The transmission coefficient depends on the valley where the electron belongs and it is not symmetric with respect to the incidence angle.</dc:description>
	<dc:publisher xml:lang="en-US">Directorate for Research and Innovation (DRI) ITB</dc:publisher>
	<dc:date>2013-12-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journals.itb.ac.id/index.php/jmfs/article/view/294</dc:identifier>
	<dc:identifier>10.5614/itbj.sci.2006.38.1.3</dc:identifier>
	<dc:source xml:lang="en-US">Journal of Mathematical and Fundamental Sciences; Vol. 38 No. 1 (2006); 41-50</dc:source>
	<dc:source>2338-5510</dc:source>
	<dc:source>2337-5760</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/jmfs/article/view/294/277</dc:relation>
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