Containment order: Difference between revisions

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{{For|scattering of light|Diffuse reflection}}
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'''Surface roughness scattering''' or '''interface roughness scattering''' is the [[elastic collision|elastic]] [[scattering]] of a charged particle by an imperfect interface between two different materials.  It is an important effect in electronic devices which contain narrow layers, such as [[field effect transistors]] and [[quantum cascade lasers]].<ref>
{{citation
  | last1=Valavanis
  | first1=A
  | last2=Ikonić
  | first2=Z
  | last3=Kelsall
  | first3=R. W.
  | date=2008-02-11
  | title=Intersubband carrier scattering in ''n''- and ''p''-Si/SiGe quantum wells with diffuse interfaces
  | journal=Phys. Rev. B
  | publisher=American Physical Society
  | volume = 77
  | issue = 7
  | pages = 075312
  | url = http://link.aps.org/abstract/PRB/v77/e075312
  | doi = 10.1103/PhysRevB.77.075312
  | accessdate = 2008-03-21
|bibcode = 2008PhRvB..77g5312V |arxiv = 0908.0552 }}
</ref>


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[[Image:Finite square well.svg|thumb|The energy of charged particles in a quantum well is strongly affected by its thickness]]
Interface roughness scattering is most noticeable in [[quantum confinement|confined]] systems, in which the energies for charge carriers are determined by the locations of interfaces. An example of such a system is a [[quantum well]], which may be constructed from a sandwich of different layers of semiconductor.  Variations in the thickness of these layers therefore causes the energy of particles to be dependent on their in-plane location in the layer.<ref>
{{citation
  | last1 = Prange
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  | last2 = Nee
  | first2 = Tsu-Wei
  | title = Quantum Spectroscopy of the Low-Field Oscillations in the Surface Impedance
  | journal = Phys. Rev.
  | volume = 168
  | issue = 3
  | pages = 779–786
  |date=April 1968
  | doi = 10.1103/PhysRev.168.779
  | publisher = American Physical Society
|bibcode = 1968PhRv..168..779P }}</ref> Although the roughness <math>\Delta_z(\mathbf{r})</math> varies in a complicated way on a microscopic scale, it can be considered to exhibit a [[Gaussian distribution]]<ref>
{{citation
  | first1 = H.
  | last1 = Sakaki
  | first2 = T.
  | last2 = Noda
  | first3 = K.
  | last3 = Hirakawa
  | first4 = M.
  | last4 = Tanaka
  | first5 = T.
  | last5 = Matsusue
  | title = Interface roughness scattering in GaAs/AlAs quantum wells
  | publisher = AIP
  | year = 1987
  | journal = Appl. Phys. Lett.
  | volume = 51
  | issue = 23
  | pages = 1934–1936
  | url = http://link.aip.org/link/?APL/51/1934/1
  | doi = 10.1063/1.98305
  | accessdate = 2008-03-21
|bibcode = 1987ApPhL..51.1934S }}</ref> characterised by a height <math>\Delta</math> and a correlation length <math>\Lambda</math> such that
:<math>\langle\Delta_z(\mathbf{r})\Delta_z(\mathbf{r'})\rangle = \Delta^2\exp\left(-\frac{|\mathbf{r}-\mathbf{r'}|^2}{\Lambda^2}\right)</math>


{{Expand section|date=June 2008}}
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==Notes==
{{reflist}}
 
{{DEFAULTSORT:Scattering From Rough Surfaces}}
[[Category:Scattering]]
 
 
{{condensedmatter-stub}}

Latest revision as of 08:12, 13 November 2014

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