Patent Document ID: 6100704
Application ID: 09069945
Patent Flag: 1

Claim One:
1. A method for determining a carrier conductivity-carrier mobility spectrum for a semiconductor sample, comprising the steps: sequentially exposing said semiconductor sample to a plurality K of preselected magnetic fields B.sub.k, k=1, 2,. .. K; for each of a plurality J of values of magnetic fields B.sub.j, j=1, 2,. .. J, wherein the set of all B.sub.j includes at least all B.sub.k, obtaining a Hall coefficient R.sub.H (B.sub.j) and a resistivity .rho.(B.sub.j); for each said B.sub.j, calculating from said R.sub.H (B.sub.j) and .rho.(B.sub.j) experimental conductivity tensor components .sigma..sub.xx.sup.j (exp) and .sigma..sub.xy.sup.j (exp), and slopes of said conductivity tensor components .sigma.'.sub.xx.sup.j (exp) and .sigma.'.sub.xy.sup.j (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 said B.sub.j, using said 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 said conductivity tensor components .sigma.'.sub.xx.sup.j and .sigma.'.sub.xy.sup.j ; for each said B.sub.j, calculating errors .DELTA..sub.xx.sup.j .ident..sigma..sub.xx.sup.j (exp)-.sigma..sub.xx.sup.j, .DELTA..sup.j.sub.xy .ident..sigma..sub.xy.sup.j (exp)-.sigma..sub.xy.sup.j, .DELTA.'.sub.xx.sup.j .ident..sigma.'.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 said B.sub.j and at least a subset of said .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 said B.sub.j, determining a minimum carrier mobility point .mu..sub.imin,j corresponding to a mobility point whose change .delta.s.sub.ij yields the lowest weighted squared error .chi..sub.ij.sup.2 ; and for each said B.sub.j and at least a subset of said .mu..sub.i, changing said carrier conductivity-carrier mobility spectrum point s.sub.i by not more than .delta.s.sub.ij.