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Improved theoretical minimum of the specific on-resistance of a superjunction

MetadataDetails
Publication Date2020-11-10
JournalSemiconductor Science and Technology
AuthorsK. Akshay, Shreepad Karmalkar
Citations9

Abstract We derive simple closed-form solutions for the optimum pillar parameters—length L opt , width 2 W opt and doping N opt of a superjunction. The parameters yield the minimum specific on-resistance, R ONSP , for a target breakdown voltage, V BR,target , thereby solving a long standing design problem. The minimum R ONSP occurs for zero charge imbalance. Our estimates of N opt are higher and hence the R ONSP lower than in prior works by >30%. We show that, N opt depends on W opt alone, since for this doping, the p and n pillars are just fully depleted when the reverse bias equals the V BR of the one-dimensional p + n junction. Further, our derivation reveals that L opt depends on V BR,target alone since the field distribution associated with V BR,target is approximately uniform over L opt . In contrast, prior design solutions require numerical or iterative calculations, and are either physically opaque or give a distorted insight that L opt depends on W opt and N opt on L opt . Moreover, our solutions have a generic form that permits quick calculations across different materials. They are validated by technology computer-aided design simulation for low and wide band gap materials—Si and 4H-SiC. Their results for GaN and diamond are given to reveal the wide 100 V-30 kV application range of devices in these materials. The solutions are also used to reveal the scope for reducing the R ONSP of several fabricated devices reported in literature by process improvement.

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