Semiconductors and Switching
How a Semiconductor Junction Works
See what doping, depletion and forward bias change inside a diode.
You are connecting the subsystems described in “How a Semiconductor Junction Works” and need their mechanical, electrical and control interfaces to work together.
Build a physical picture of electrons, holes, donors and acceptors; follow diffusion as a PN junction creates a depletion-region field; then connect forward bias to the diode's strongly nonlinear current.
- Select or check first
- Doping changes carrier concentration, not bulk charge neutrality. An N-type region has electrons as majority mobile carriers; a P-type region has holes as majority mobile carriers.
- Controlling assumption
- Circuit state, waveform, source impedance, ratings, temperature and protection topology match the equipment being analysed.
- Top risk
- Always provide a current-limiting mechanism. A voltage source applied directly across a forward junction can drive destructive current because current rises steeply and forward voltage changes relatively little.
- Proof
- Check the exact manufacturer data, units and limits, then verify the result by calculation, measurement or a controlled acceptance test.
Start with the basics Optional foundation before “How a Semiconductor Junction Works”
Electrical-engineering basics
Electrical behaviour becomes easier to reason about when every voltage has a reference and every current has a complete return path.
- Voltage
- Voltage is potential difference between two points. A voltage statement is incomplete unless both points or its reference are known.
- Current
- Current is charge flow through a path. It does not disappear after a component; in a complete circuit it returns to the source.
- Resistance and impedance
- Resistance opposes steady current. Impedance extends that idea to changing signals and can depend on frequency through capacitance and inductance.
- Power and heat
- Electrical power is the rate of energy transfer. Some becomes useful output and some becomes heat that must stay within component and enclosure limits.
- Rating versus operating point
- A rating is a limit or qualified condition, not a target. The operating point must remain inside all relevant voltage, current, power, temperature and timing limits.
How to use this article: Draw the source, load, reference and return path before calculating. Treat exposed or stored electrical energy as hazardous until isolation is proved.
On this page
A diode does not contain a tiny mechanical one-way valve. Its behavior comes from mobile charge carriers, fixed ionized dopants and the electric field that develops where differently doped semiconductor regions meet. The useful circuit rule—forward current rises strongly while reverse current is usually small—emerges from that microscopic structure.
Doping creates controlled majority carriers
Diagram description
Two simplified silicon bond diagrams compare a phosphorus donor and a boron acceptor. Mobile negative and positive carrier symbols are paired with the corresponding fixed ionized dopant charge.
| Material | Majority mobile carrier | Minority mobile carrier | Fixed dopant after ionization |
|---|---|---|---|
| N-type silicon | Electrons | Holes | Positively charged donor ions |
| P-type silicon | Holes | Electrons | Negatively charged acceptor ions |
| Intrinsic silicon | Equal equilibrium electron and hole concentrations | Neither type is a dopant-created majority | No intentional donor/acceptor population |
A hole is a useful description of an unoccupied valence-band state. Neighboring valence electrons can move into that state, so the vacancy behaves as a positive mobile carrier moving in the opposite direction. It is not a free positive particle inserted between silicon atoms. Likewise, an electron's microscopic motion and conventional current direction are opposite descriptions of the same charge transport.
Joining P and N regions creates a depletion-region field
Diagram description
A horizontal N-to-P junction contains a shaded depletion region with positive fixed ions on the N side and negative fixed ions on the P side. Arrows show diffusion, drift and the built-in field.
| Stage | Physical change |
|---|---|
| 1. Concentration gradient | Electrons are abundant on N side and holes abundant on P side |
| 2. Diffusion | Carriers cross the junction and recombine with opposite carriers |
| 3. Space charge | Mobile carriers leave behind uncovered ionized donors and acceptors |
| 4. Built-in field | Fixed positive charge on the N side and fixed negative charge on the P side establish an electric field |
| 5. Equilibrium | Field-driven drift balances concentration-driven diffusion, so net current is zero even though thermal motion continues |
Forward bias lowers the barrier and injects carriers
Diagram description
Two simplified P-to-N bars compare a wider yellow depletion zone at zero external bias with a narrower zone when P is connected positive and N negative.
Applying the positive terminal to P and the negative terminal to N reduces the electrostatic barrier from its equilibrium value. Majority carriers reach the junction more readily and are injected as minority carriers into the opposite quasineutral region. They diffuse, recombine and produce a terminal current that grows strongly with applied voltage.
Ideal junction-diode model
I = I_S[e^(V_D/(nV_T)) − 1]; V_T = kT/q
This compact model captures exponential forward behavior over a useful region. I_S depends strongly on device area, semiconductor, doping and temperature; n is an empirical ideality factor. Series resistance, high-level injection, leakage, generation-recombination, self-heating and breakdown require additional models.
- I
- junction current under the selected sign convention, A
- I_S
- reverse saturation-current model parameter, A
- V_D
- junction voltage, positive for forward bias, V
- n
- ideality factor in the selected operating region
- V_T
- thermal voltage, about 25.9 mV at 300 K
- k
- Boltzmann constant
- T
- absolute junction temperature, K
- q
- magnitude of electron charge, C
The equation explains why a small change in forward voltage can produce a large current ratio. It does not establish a universal 0.7 V turn-on threshold.
| Bias condition | Barrier/depletion trend | Terminal behavior in the normal region |
|---|---|---|
| No external bias | Built-in field at equilibrium | No net terminal current |
| Forward bias: P positive to N | Barrier and depletion width reduce | Carrier injection and forward current rise nonlinearly |
| Reverse bias: P negative to N | Barrier and depletion width increase | Small leakage until breakdown mechanisms become important |
| Excess reverse voltage | Very high field | Avalanche or Zener breakdown; current must be limited and the device must be rated for it |
Translate the material picture into a circuit model carefully
| Shortcut | What it is useful for | What it hides |
|---|---|---|
| Ideal diode: open or short | First topology check | Forward drop, leakage, capacitance, reverse recovery and breakdown |
| Constant forward drop | Hand calculation around one current range | Exponential law, temperature shift and series resistance |
| Piecewise-linear model | Approximate threshold plus slope resistance | Dynamic behavior and parameter spread |
| Exponential model | Junction current over a useful low/moderate-current range | Series resistance, self-heating, high injection and many real-device parasitics |
| Manufacturer SPICE model | Detailed simulation in its documented range | Layout, thermal construction and unmodeled fault behavior |
Keep four different directions straight
| Quantity | Typical direction in the article's N-to-P drawing |
|---|---|
| Built-in electric field | From positive donor ions on N side toward negative acceptor ions on P side |
| Electron diffusion near formation | From high electron concentration in N toward P |
| Electron drift from built-in field | Opposite the electric field, from P toward N |
| Conventional forward current | From P/anode toward N/cathode through the external circuit convention |
| Electron flow in external conductors | Opposite conventional current |
The distinction between conventional current and electron motion is introduced in Voltage, Current, Power and Energy Are Different. The junction's nonlinear I–V curve is an application of the model boundaries discussed in Resistance, Nonlinear Loads and Heat.
One-minute questions
Questions to answer before you apply this lesson
What should I select or check first for How a Semiconductor Junction Works?
Doping changes carrier concentration, not bulk charge neutrality. An N-type region has electrons as majority mobile carriers; a P-type region has holes as majority mobile carriers.
Which assumption can change the conclusion?
Circuit state, waveform, source impedance, ratings, temperature and protection topology match the equipment being analysed.
What can go wrong if I copy the example directly?
Always provide a current-limiting mechanism. A voltage source applied directly across a forward junction can drive destructive current because current rises steeply and forward voltage changes relatively little.
How do I verify the result in the real system?
Check the exact manufacturer data, units and limits, then verify the result by calculation, measurement or a controlled acceptance test.
Sources and further reading
- Lecture Notes — Microelectronic Devices and CircuitsMIT OpenCourseWare · 2026-10-13University course sequence reviewed for intrinsic semiconductors, donor/acceptor doping, carrier concentrations, PN junctions and device models.
- Lecture 4 — p-n Junctions: ElectrostaticsMIT OpenCourseWare · 2026-10-13University lecture reviewed for depletion approximation, space charge, built-in potential and bias-dependent depletion width.
- Lecture 5 — p-n Junction Injection and FlowMIT OpenCourseWare · 2026-10-13University lecture reviewed for diffusion and drift, forward-bias minority-carrier injection and junction current.
- Inhomogeneous SemiconductorsMIT OpenCourseWare · 2026-10-13Independent materials-science lecture reviewed for impurity levels, equilibrium carrier density, depletion charge, built-in voltage and rectification.