This application is based upon and claims the benefit of priority from Japanese Patent Application No. 2021-149934, filed on Sep. 15, 2021; the entire contents of which are incorporated herein by reference.
Embodiments described herein relate generally to a simulation method of a semiconductor device, a simulation device of a semiconductor device, a simulation program of a semiconductor device, and a data structure.
In recent years, a FP-MOSFET that includes a gate electrode located inside a trench and a field plate electrode (FP) located below the gate electrode has been developed as a MOSFET (Metal-Oxide-Semiconductor Field-Effect Transistor) for power control. It is common to develop a FP-MOSFET while using a simulation to estimate the electrical characteristics. It is therefore desirable to increase the simulation accuracy.
In general, a simulation method according to one embodiment is a simulation method of a semiconductor device. The semiconductor device includes a first electrode, a second electrode, a semiconductor part located between the first electrode and the second electrode, an insulating member located inside the semiconductor part, a third electrode located inside the insulating member, and a fourth electrode located between the first electrode and the third electrode and located inside the insulating member. The semiconductor part includes a first semiconductor layer connected to the first electrode, a second semiconductor layer connected to the second electrode, and a third semiconductor layer contacting the first and second semiconductor layers. The first semiconductor layer is of a first conductivity type. The second semiconductor layer is of the first conductivity type. The third semiconductor layer is of a second conductivity type. The method includes causing a value of a first resistance to change according to a value of a first voltage between the first electrode and the second electrode. The first resistance is connected between the second electrode and the fourth electrode.
The embodiment is a simulation device, a simulation method, a simulation program, and a data structure used in a simulation that estimate an operation of a semiconductor device.
As shown in
A semiconductor device that is the object of the simulation according to the embodiment will now be described.
According to the embodiment as shown in
In
The semiconductor part 110 is located between the drain electrode 101 and the source electrode 102. The insulating member 120 is located inside the semiconductor part 110. The insulating member 120 reaches the surface of the semiconductor part 110 at the source electrode 102 side (the upper surface) but does not reach the surface of the semiconductor part 110 at the drain electrode 101 side (the lower surface). The gate electrode 103 is located inside the insulating member 120. The FP electrode 104 is located between the drain electrode 101 and the gate electrode 103 inside the insulating member 120.
The insulating member 120, the gate electrode 103, and the FP electrode 104 extend linearly in a direction (hereinbelow, also called the “trench direction”) perpendicular to the page surface of
The semiconductor part 110 includes a drift layer 111 (a first semiconductor layer), a source layer 112 (a second semiconductor layer), and a base layer 113 (a third semiconductor layer). The drift layer 111 is connected to the drain electrode 101; and the conductivity type of the drift layer 111 is the n−-type. The source layer 112 is connected to the source electrode 102; and the conductivity type of the source layer 112 is the n+-type. The carrier concentration of the source layer 112 is greater than the carrier concentration of the drift layer 111. The base layer 113 is located between the drift layer 111 and the source layer 112 and contacts the drift layer 111, the source layer 112, and the source electrode 102. The conductivity type of the base layer 113 is the p−-type. The drift layer 111 and the source layer 112 are separated from each other with the base layer 113 interposed. When the semiconductor device 100 is a pMOS, the n-type and the p-type described above are reversed.
A basic operation of the semiconductor device 100 will now be described.
In the semiconductor device 100, a drain-source voltage VDS is applied with the drain electrode 101 as the positive pole and the source electrode 102 as the negative pole. Thereby, a depletion layer is caused to spread with the p-n interface between the drift layer 111 and the base layer 113 as a starting point. When a potential that is greater than a threshold is applied to the gate electrode 103 in this state, an n-type inversion layer is formed in the part of the base layer 113 contacting the insulating member 120. Thereby, the semiconductor device 100 is switched to the “on-state”; and a current flows between the drain electrode 101 and the source electrode 102. On the other hand, the inversion layer disappears when a potential that is less than the threshold is applied to the gate electrode 103. Thereby, the semiconductor device 100 is switched to the “off-state”; and the current between the drain electrode 101 and the source electrode 102 is blocked.
As shown in
An equivalent circuit of the semiconductor device 100 assumed in the simulation of the embodiment will now be described.
According to the embodiment as shown in
The capacitance between the drain electrode 101 and the source electrode 102 is a capacitance CDS1 (a first capacitance). The capacitance between the drain electrode 101 and the gate electrode 103 is a capacitance CGD (a second capacitance). The capacitance between the source electrode 102 and the gate electrode 103 is a capacitance CGS1 (a third capacitance). The resistance of the gate electrode 103 itself in the trench direction is a resistance RG (a second resistance). The capacitance between the drain electrode 101 and the FP electrode 104 is a capacitance CDS2 (a fourth capacitance). The capacitance between the gate electrode 103 and the FP electrode 104 is a capacitance CGS2 (a fifth capacitance).
When the voltage between the source electrode 102 and the FP electrode 104 oscillates, that is, when the voltage includes an AC component, a current flows not only in the interconnect that connects the FP electrode 104 to the source electrode 102 but also in a current path I1 from the FP electrode 104 to the source electrode 102 via the insulating member 120, the drift layer 111, and the base layer 113. The current path I1 appears when the semiconductor device 100 is in the off-state; and the current path I1 does not pass through the inversion layer.
When the semiconductor device 100 is in the off-state, the resistance of a current path I0 (not illustrated) from the drain electrode 101 to the source electrode 102 is a resistance RDS(OFF). The resistance RDS(OFF) includes a combined resistance component of the resistance Rfp and the impedance of the capacitances CDS1 and CDS2 that are parasitic capacitances at the periphery of the resistance Rfp. The current path I0 includes the current path I1. The current path I1 passes through the depletion layer formed between the drift layer 111 and the base layer 113. The resistance RDS(OFF) is dependent on the voltage VDS (the first voltage) between the drain electrode 101 and the source electrode 102 because the thickness of the depletion layer is dependent on the voltage VDS. Specifically, as the voltage VDS increases, the thickness of the depletion layer increases and the resistance RDS(OFF) increases. Because the capacitance CDS1 also is dependent on the thickness of the depletion layer, the capacitance CDS1 is dependent on the voltage VDS. Specifically, as the voltage VDS increases, the thickness of the depletion layer increases and the capacitance CDS1 decreases.
As shown in
The capacitance CDS1 (the first capacitance) is connected between the drain terminal and the source terminal. The capacitance CGD (the second capacitance) is connected between the drain terminal and the gate terminal. The capacitance CGS1 (the third capacitance) is connected between the source terminal and the gate terminal. The resistance RG (the second resistance) connected between the gate terminal and a connection point N1 between the capacitance CGD and the capacitance CGS1. The capacitance CDS2 (the fourth capacitance) is connected to the drain terminal. The capacitance CGS2 (the fifth capacitance) is connected to the connection point N1. The resistance Rfp (the first resistance) is connected between the source terminal and a connection point N2 between the capacitance CDS2 and the capacitance CGS2. The connection point N2 corresponds to the FP electrode 104.
Inductances L1, L2, and L3 are components included in the equivalent circuit of the package in which the semiconductor device 100 is mounted. The inductances L1, L2, and L3 each are outside the equivalent circuit 200.
As described above, the resistance Rfp is dependent on the voltage VDS; and the resistance Rfp increases as the voltage VDS increases.
In
Formula 1 below is used as the approximation formula of
R
DS(OFF)
=a×V
DS
2
+b×V
DS
+c [Formula 1]
In Formula 1 above, “a”, “b”, and “c” are coefficients. For example, the coefficient a is −9×10−5, the coefficient b is 0.0128, and the coefficient c is −0.0135. Substituting these coefficients in Formula 1 above gives the following Formula 2.
R
DS(OFF)=−9×10−5×VDS2+0.0128×VDS−0.0135 [Formula 2]
Operations of the simulation device according to the embodiment, i.e., the simulation method according to the embodiment, will now be described.
As shown in
In the simulation, an AC power supply 201, a DC power supply 202, and an ammeter 203 are assumed outside the equivalent circuit 200 and are connected in series between the source electrode 102 and the drain electrode 101. Also, a voltmeter 204 that is connected in parallel with a circuit made of the AC power supply 201 and the DC power supply 202 is assumed.
In the simulation method according to the embodiment, instead of the drain-source resistance RDS(OFF), the resistance Rfp is caused to change according to the voltage VDS. As described above, although the resistance Rfp is normally constant, for convenience in the simulation, the resistance Rfp is caused to change according to the voltage VDS so that the simulation reflects the fluctuation of the resistance RDS(OFF) according to the voltage VDS. The capacitance CDS1 also changes because the capacitance CDS1 fluctuates according to the voltage VDS.
For example, the relationship between the voltage VDS and the resistance Rfp is stored in the form of the function Rfp=f(VDS). For example, the relationship between the voltage VDS and the capacitance CDS1 is stored in the form of the function CDS1=g(VDS). The function Rfp=f(VDS) is, for example, the formula in which RDS(OFF) is replaced with Rfp in Formula 1 above, and, for example, the formula in which RDS(OFF) is replaced with Rfp in Formula 2 above.
As shown in
The calculation part 10 reads the simulation program from the storage 20 and executes the simulation program. For example, the simulation program according to the embodiment is a program based on SPICE (Simulation Program with Integrated Circuit Emphasis) and simulates the operation of the equivalent circuit 200. In the simulation program, the voltage VDS is set as the output of the DC power supply 202. The simulation program calculates the value of the resistance Rfp based on the value of the voltage VDS using the function Rfp=f(VDS), and calculates the value of the capacitance CDS1 based on the value of the voltage VDS using the function CDS1=g(VDS). The operation of the semiconductor device 100 is simulated by repeating these calculations.
Effects of the embodiment will now be described.
According to the embodiment, the resistance Rfp between the source electrode 102 and the FP electrode 104 is calculated based on the drain-source voltage VDS. The change of the resistance RDS(OFF) caused by the change of the voltage VDS can be calculated thereby, and the oscillation of the voltage VDS shown in
According to the embodiment, the capacitance CDS1 is calculated based on the voltage VDS. The change of the capacitance CDS1 caused by the change of the voltage VDS can be calculated thereby, and the oscillation of the voltage VDS shown in
The formula of the relationship between the voltage VDS and the resistance RDS(OFF) according to the embodiment is different from that of the first embodiment.
In
The following Formula 3 is used as the approximation formula of
“VdsMAX” shown in
Otherwise, the configuration, operations, and effects according to the embodiment are similar to those of the first embodiment.
The embodiment differs from the first and second embodiments in that the relationship between the voltage VDS and the resistance Rfp and the relationship between the voltage VDS and the capacitance CDS1 are realized as a data structure.
According to the embodiment as shown in
When the calculation part 10 of the simulation device 1 (see
According to the embodiment, using the data structure 300 enable a faster simulation of the semiconductor device 100. Otherwise, the configuration, operations, and effects according to the embodiment are similar to those of the first embodiment.
A test example that shows the effects of the first embodiment will now be described.
In the test example as shown in
As shown in
According to embodiments described above, a simulation method of a semiconductor device, a simulation device of a semiconductor device, a simulation program of a semiconductor device, and a data structure can be realized in which the accuracy can be increased.
Although the calculation part 10 of the simulation device 1 executes a simulation program stored in the storage 20 in the example according to the embodiments described above, the execution is not limited thereto. For example, the calculation part 10 may execute a simulation program existing in a cloud, or the execution of the program itself may be performed in a cloud.
While certain embodiments have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the inventions. Indeed, the novel embodiments described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the embodiments described herein may be made without departing from the spirit of the inventions. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the inventions.
Number | Date | Country | Kind |
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2021-149934 | Sep 2021 | JP | national |