Table 2

The formulas of major scattering mechanisms used in 2DEG mobility calculations
Scattering mechanism Formula Definition of variables
Acoustic phonon: piezoelectric [15-17] <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M38','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M38">View MathML</a> K, electromagnetic coupling coefficient; JPE(k), electron wave vector dependent integral.
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M39','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M39">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M40','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M40">View MathML</a>
Acoustic phonon: deformation [11,18] potential <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M41','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M41">View MathML</a> ρ, crystal density; vs, longitudinal acoustic phonon velocity; Ξ, deformation potential constant; m*, electron effective mass; JDP(k), electron wave vector dependent integral. b, Fang-Howard expression; qs, reciprocal screening length; f(0), occupation probability; F11(q), ground-state Fang-Howard wave function.
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M42','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M42">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M43','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M43">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M44','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M44">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M45','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M45">View MathML</a>
Polar optical phonon [17-19] <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M46','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M46">View MathML</a> <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M47','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M47">View MathML</a>, polar optical phonon energy; <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M48','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M48">View MathML</a> and <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M49','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M49">View MathML</a>, high- and low-frequency dielectric constant; Z0, effective width of triangular well formed at the GaxIn1-xN/GaN interface and is given in terms of Fermi wave vector.
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M50','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M50">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M51','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M51">View MathML</a>
Interface roughness [11,15,20] <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M52','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M52">View MathML</a> Δ, lateral size of the roughness; Λ, correlation length between fluctuations; JIFR(k), correlation length and the lateral size-dependent integral; n2D, 2D electron density.
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M53','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M53">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M54','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M54">View MathML</a>
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M55','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M55">View MathML</a>
Alloy disorder [20] <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M56','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M56">View MathML</a> x, Ga fraction; Ω0, the volume occupied by one atom; UA, alloy potential.
Dislocation [21-23] <a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M57','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M57">View MathML</a> NDis, dislocation density per unit area which is taken as a fitting parameter; λD, Debye screening length; c, lattice constant of GaxIn1-xN. f, the fraction of filled traps that are assumed fully occupied.
<a onClick="popup('http://www.nanoscalereslett.com/content/7/1/490/mathml/M58','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/7/1/490/mathml/M58">View MathML</a>

Donmez et al.

Donmez et al. Nanoscale Research Letters 2012 7:490   doi:10.1186/1556-276X-7-490

Open Data