Vertical transport in InAs/GaSb superlattices: model results and relation to in-plane transport

Operation of InAs/GaSb superlattice-based devices requires efficient transport of carriers perpendicular to superlattice layers by drift and/or diffusion. While transverse mobility measurements are performed routinely, vertical transport measurements are difficult and nonstandard, so that very little is known about their value and dependence on material quality, which is important in device modeling. In such a situation, model calculations can help fill the void. In this work, both the horizontal and vertical electron transport in InAs/GaSb superlattices qua superlattices, not quantum wells, as in Gold's model or its extensions, are modeled. The respective Boltzmann equations in the relaxation time approximation are solved, using the interface roughness scattering as the dominant mobility-limiting mechanism. In absence of screening, a universal relation that the vertical relaxation rates are always smaller than horizontal relaxation rates is derived; hence vertical mobilities are generally smaller than horizontal mobilities. We calculate vertical and horizontal mobilities as a function of such superlattice parameters as layer widths and the correlation length of interface roughness. The calculated ratios of the vertical to horizontal mobilities can be used to estimate vertical mobilities from measurements of horizontal mobilities.

[1]  T. Ando Self-Consistent Results for a GaAs/AlxGa1-xAs Heterojunciton. II. Low Temperature Mobility , 1982 .

[2]  A. Chomette,et al.  Phonon-limited near equilibrium transport in a semiconductor superlattice , 1982 .

[3]  T. L. Reinecke,et al.  Theory of thermoelectric power factor in quantum well and quantum wire superlattices , 2001 .

[4]  Gail J. Brown,et al.  Demonstration of interface-scattering-limited electron mobilities in InAs∕GaSb superlattices , 2007 .

[5]  B. Nag,et al.  Electron transport in compound semiconductors , 1980 .

[6]  A. Rogalski,et al.  Third-generation infrared photodetector arrays , 2009 .

[7]  F. Madarasz,et al.  Optimization of absorption in InAs/InxGa1-xSb superlattices for long-wavelength infrared detection , 1995 .

[8]  Jerry R. Meyer,et al.  Interface roughness scattering in semiconducting and semimetallic InAs‐Ga1−xInxSb superlattices , 1993 .

[9]  F. Mollot,et al.  Probing the interface fluctuations in semiconductor superlattices using a magneto-transport technique , 1994 .

[10]  Joel N. Schulman,et al.  Wave Mechanics Applied to Semiconductor Heterostructures , 1991 .

[11]  B. Nag Theory of electrical transport in semiconductors , 1972 .

[12]  William C. Mitchel,et al.  Carrier mobility as a function of carrier density in type-II InAs/GaSb superlattices , 2009 .

[13]  I. Akasaki,et al.  Interface-Roughness Scattering in GaAs/AlxGa1-xAs Superlattices , 1989 .

[14]  J. Palmier,et al.  Effect of interface roughness on non-linear vertical transport in GaAs/AlAs superlattices , 1993 .

[15]  J. Harmand,et al.  Shubnikov-de Haas - like oscillations in the vertical transport of semiconductor superlattices , 1999 .

[16]  Gold Electronic transport properties of a two-dimensional electron gas in a silicon quantum-well structure at low temperature. , 1987, Physical review. B, Condensed matter.

[17]  T. Ando,et al.  Electronic Properties of a Semiconductor Superlattice II. Low Temperature Mobility Perpendicular to the Superlattice , 1980 .

[18]  P. N. Butcher,et al.  Interface roughness scattering in a superlattice , 1990 .

[19]  F. Stern,et al.  Electronic properties of two-dimensional systems , 1982 .

[20]  D. Arnold,et al.  Interface roughness limited electron mobility in HgTe‐CdTe superlattices , 1991 .

[21]  Y. Cuminal,et al.  Design of mid-infrared InAs/GaSb superlattice detectors for room temperature operation , 2008 .