The dc voltage dependence of semiconductor grain-boundary resistance

Journal of Applied Physics - Tập 50 Số 5 - Trang 3414-3422 - 1979
G. E. Pike1, C. H. Seager1
1Sandia Laboratories Albuquerque, New Mexico 87185

Tóm tắt

A model is developed to describe the potential barriers which often occur at grain boundaries in polycrystalline semiconductors. The resistance of such materials is determined by thermionic emission over these barriers. The dc grain-boundary current density as a function of applied voltage is calculated using several forms for the density of defect states within the boundary region. In all cases, the currents are Ohmic at low voltages; they can attain a quasisaturated level at intermediate voltages, and they display a sharp bias dependence at high voltages. The details of the intermediate and high-voltage characteristics are found to depend strongly on the grain-doping density and on the density and energy distribution of defect states at the grain boundary. Contrary to previous assertions, we find that the large current-voltage nonlinearities found in real materials are most likely associated with defect-state densities that decrease above the zero-bias Fermi level. The results of the model are compared with previous experimental data on Si and Ge bicrystals and on polycrystalline ZnO varistors. Finally, a detailed method for determining the energy density of grain-boundary defect states from current-voltage data is developed.

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Tài liệu tham khảo

1952, Phys. Rev., 88, 867, 10.1103/PhysRev.88.867

1956, Proc. Phys. Soc., London, B, 69, 513

1961, J. Appl. Phys., 32, 635, 10.1063/1.1736062

1975, Crit. Rev. Solid State Sci., 5, 597, 10.1080/10408437508243517

1977, J. Appl. Phys., 48, 4372, 10.1063/1.323391

1971, Jpn. J. Appl. Phys., 10, 736, 10.1143/JJAP.10.736

1975, J. Appl. Phys., 46, 1332, 10.1063/1.321701

1977, J. Appl. Phys., 48, 1621, 10.1063/1.323843

1973, Phys. Rev. Lett., 30, 856, 10.1103/PhysRevLett.30.856

1975, Solid State Commun., 17, 1431, 10.1016/0038-1098(75)90619-5

1978, J. Appl. Phys., 49, 3879, 10.1063/1.325394

1963, Jpn. J. Appl. Phys., 2, 91, 10.1143/JJAP.2.91

1976, J. Electron Mater., 5, 473, 10.1007/BF02654339