USA As Represented by Secretary of the Navy

Jeffrey R Lindenmuth

Jerry R Meyer

Igor Vurgaftman

Lorenzo Faraone

Jaroslav Antoszewski

David Redfern

The present invention is a method for determining a carrier conductivity-rier mobility spectrum for a semiconductor sample, having the steps of: exposing the semiconductor sample to a range K of discrete magnetic fields k=1,2, . . . K; for each field obtaining a Hall coefficient R.sub.H and a resistivity .rho., and calculating from R.sub.H (B.sub.k) and .sigma.(B.sub.k) experimental conductivity tensor components .sigma..sub.xx.sup.k (exp) and .sigma..sub.xy.sup.k (exp), and slopes of these conductivity tensor components .sigma.'.sub.xx.sup.k (exp) and .sigma.'.sub.xy.sup.k (exp); selecting a trial carrier conductivity-carrier mobility spectrum s.sub.i corresponding to a plurality I of carrier mobilities .mu..sub.i, i=1,2, . . . I; for each B.sub.j, using this trial carrier conductivity-carrier mobility spectrum to calculate conductivity tensor components .sigma..sub.xx.sup.j and .sigma..sub.xy.sup.j, and slopes of the conductivity tensor components .sigma.'.sub.xx.sup.j and .sigma.'.sub.xy.sup.j ; for each B.sub.j, calculating errors .DELTA..sub.xx.sup.j .ident..sigma..sub.xx.sup.j (exp)-.sigma..sub.xx.sup.j, .DELTA..sub.xy.sup.j .ident..sigma..sub.xy.sup.j (exp)-.sigma..sub.xy.sup.j, .DELTA.'.sub.xx.sup.j (exp)-.sigma.'.sub.xx.sup.j, and .DELTA.'.sub.xy.sup.j .ident..sigma.'.sub.xy.sup.j (exp)-.sigma.'.sub.xy.sup.j, and calculating therefrom a total weighted squared error .chi..sub.j.sup.2 ; for each B.sub.j and at least a subset of .mu..sub.i, calculating an optimum change to said trial carrier conductivity-carrier mobility spectrum .delta.s.sub.ij, and calculating therefrom a modified total weighted squared error .chi..sub.ij.sup.2 ; for each B.sub.j, determining a minimum carrier mobility point .mu..sub.iminj whose corresponding change .delta.s.sub.ij that yields the lowest weighted squared error .chi..sub.ij.sup.2 ; for each B.sub.j and at least a subset of .mu..sub.i, changing the carrier conductivity-carrier mobility spectrum by not more than .delta.s.sub.ij.

Growing community of inventors

Galena, OH, United States of America

Jeffrey R Lindenmuth