Method of simulating hot carrier deterioration of an MOS transistor
AssigneeMitsubishi Denki Kabushiki Kaisha
InventorsSatoshi Shimizu, Motoaki Tanizawa
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Abstract
In a method of simulating hot carrier deterioration of an MOS transistor, .DELTA.I.sub.D /I.sub.D =(.DELTA.I.sub.D /I.sub.D).sub.f .multidot.(W.multidot.B).sup.-n .multidot.I.sub.SUB.sup.mn .multidot.I.sub.D.sup.(1-m)n .multidot.t.sup.n .DELTA.I.sub.D /I.sub.D =(.DELTA.I.sub.D /I.sub.D).sub.f .multidot.B.sup.-n .multidot.W.sup.-mn .multidot.I.sub.G.sup.mn .multidot.t.sup.n is used in the simulation for a P-MOS transistor, where B is a constant, W is a gate width, I.sub.SUB is a substrate current, I.sub.D is a drain current, t is a time, I.sub.G is a gate current, n is represented by a function g=(V.sub.G, V.sub.D), and V.sub.G and V.sub.D represent a gate voltage and a drain voltage, respectively.
Claims14
A method of analyzing an integrated circuit of a semiconductor device comprising a plurality of components including an N-MOS transistor, which method comprises:
- operating said semiconductor device;
- predicting deterioration of the N-MOS transistor by simulating hot carrier deterioration;
- and
- taking corrective action in response to simulating hot carrier deterioration by isolating areas of the integrated circuit susceptible to hot carrier degradation effects;
- wherein said simulating hot carrier deterioration of an N-MOS transistor comprises formulas (6) and (7):
- F.sub.N (t)=(W.multidot.B).sup.-n .multidot.I.sub.SUB.sup.mn .multidot.I.sub.D.sup.(1-m)n .multidot.t.sup.n ( 6)
- .DELTA.I.sub.D /I.sub.D =(.DELTA.I.sub.D /I.sub.D).sub.f .multidot.F.sub.N (t) (7)
- where F.sub.N (t) represents a quantity of a hot carrier stress applied until a time t, W represents a width of a gate of said transistor, B represents a coefficient depending on a manufacturing condition of said transistor, I.sub.SUB represents a substrate current, I.sub.D represents a drain current, m represents an index which is deemed to be correlated to impact ionization and generation of interface energy levels, and (.DELTA.I.sub.D /I.sub.D) represents a rate of a variation .DELTA.I.sub.D of said drain current at the time of expiration of a lifetime of said transistor to an initial value of said drain current I.sub.D, wherein
- n is not a constant but is expressed as a function n=g(V.sub.G, V.sub.D) of a gate voltage V.sub.G and a drain voltage V.sub.D which are applied at the time of said hot carrier stress, and said function is determined by a preliminary experiment.
A method of analyzing an integrated circuit of a semiconductor device comprising a plurality of components including an P-MOS transistor, which method comprises:
- operating said semiconductor device;
- predicting deterioration of the P-MOS transistor by simulating hot carrier deterioration;
- and
- taking corrective action in response to simulating hot carrier deterioration by isolating areas of the integrated circuit susceptible to hot carrier degradation effects;
- wherein said simulating hot carrier deterioration of a P-MOS transistor comprises formulas (20) and (21):
- F.sub.p (t)=B.sup.-n .multidot.W.sup.-mn .multidot.I.sub.G.sup.mn .multidot.t.sup.n ( 20)
- .DELTA.I.sub.D /I.sub.D =(.DELTA.I.sub.D /I.sub.D).sub.f .multidot.F.sub.p (t) (21)
- where F.sub.p (t) represents a quantity of a hot carrier stress applied until a time t, B represents a coefficient depending on a manufacturing condition of said transistor, W represents a width of a gate of said transistor, I.sub.G represents a gate current, m represents an index which is deemed to be correlated to impact ionization and generation of interface energy levels, and (.DELTA.I.sub.D /I.sub.D) represents a rate of a variation .DELTA.I.sub.D of said drain current at the time of expiration of a lifetime of said transistor to an initial value of said drain current I.sub.D, wherein
- n is not a constant but is expressed as a function n=g(V.sub.G, V.sub.D) of a gate voltage V.sub.G and a drain voltage V.sub.D which are applied at said time of said hot carrier stress, and said function is determined by a preliminary experiment.
Dependencies are inferred from the claim text.