Semiconductor Device Simulation

Silicon | 300K
Physics:
E-field: None
Electrons: -
Holes: -
-
+
0V
0V
Concentration Gradient: Low
Electrons (e⁻)
Holes (h⁺)
Electric Field
0.0
Electron Drift (mA/cm²)
0.0
Electron Diffusion (mA/cm²)
0.0
Hole Drift (mA/cm²)
0.0
Hole Diffusion (mA/cm²)

Current Equations

J = Jdrift + Jdiffusion
Jdrift = qμnE + qμpE
Jdiffusion = qDn∇n + qDp∇p

Control Parameters

300 K
0.0 V
10¹⁶ cm⁻³
10¹⁵ cm⁻³
Medium
0
Total Score
0
Challenges Solved
0
Hints Used

Rapid Fire MCQ

Test your quick thinking with these mobility and transport questions!

Fill in the Blanks

Complete the key equations and concepts related to carrier transport.

Calculation Challenge

Solve numerical problems involving mobility, diffusion, and current calculations.

Advanced Concepts

Deep dive into advanced mobility and transport phenomena.

Concept Matching

Match physics concepts with their descriptions and applications.

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Theory

Carrier Transport Mechanisms

Drift Current: Movement of carriers due to applied electric field.

Diffusion Current: Movement due to concentration gradients.

Key Physics

• Electric field points from + to - terminal

• Electrons move opposite to E-field

• Holes move with E-field direction

Einstein Relation

D/μ = kT/q

Continuity Equation

∂n/∂t = (1/q)∇·Jn + G - R

Where G is generation rate and R is recombination rate.

Help

How to Use

1. Select semiconductor material

2. Adjust temperature and voltage

3. Set doping concentrations

4. Observe carrier movement and currents

Visual Elements

• Blue dots (e⁻): Electrons - move opposite to E-field

• Red dots (h⁺): Holes - move with E-field

• Green arrows: Electric field direction

• Gold terminals: Voltage electrodes

Physics Notes

• Positive voltage: + terminal on right, - on left

• Electric field flows from + to -

• Electrons flow against E-field (+ to -)

• Holes flow with E-field (- to +)

Expected Current Ranges (mA/cm²)

Electron Drift: 1-50 mA/cm²

Electron Diffusion: 0.1-10 mA/cm²

Hole Drift: 0.1-10 mA/cm²

Hole Diffusion: 0.05-5 mA/cm²

Temperature Effects

• Higher T: ↓ drift (mobility), ↑ diffusion (thermal energy)

Tips

• Apply voltage to see drift currents

• Increase gradient slider for diffusion currents

• Try p-type doping (P > N) to see more hole current

• Different materials have different mobilities