Concepts & Equations. Applications: Devices

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1 Concepts & Equations Applications: Devices

2 Concepts & Equations Applications: Devices Current = (charge) x (velocity) Ch1-4 Ch5-6

3 Concepts & Equations Applications: Devices

4 Concepts & Equations Ch1 Landscape around els How are atoms distributed? Ch2 Where are electronic levels in any given potential?

5 Concepts & Equations Ch1 Landscape around els How are atoms distributed? (Miller indices) Ch2 Where are electronic levels in any given potential?

6 Concepts & Equations Ch1 Landscape around els How are atoms distributed? (Miller indices) Ch2 Where are electronic levels in any given potential? Schrödinger equation Probabilities, Expectations Modes, eigenspectrum Particle in a box (Bound states) Step (Reflection and Transmission) Barrier (Resonance and Tunneling)

7 Ch1 Ch3 Where are electronic levels in atomic potentials (solid)? Ch2

8 Ch3 Where are electronic levels in atomic potentials (solid)? Electron Waves Bands GroupVelocity Effective Mass Real bandstructures Const Energy Ellipsoids

9 Ch4 How many states per energy? Ch3 How many els per state?

10 Ch4 How many states per energy? Density of States How many els per state? Fermi-Dirac distribution

11 Ch4 How many states per energy? Density of States How many els per state? Fermi-Dirac distribution np equation Intrinsic Doping Charge Cons.

12 Ch4 How many states per energy? Density of States How many els per state? Fermi-Dirac distribution np equation Intrinsic Doping Charge Cons.

13 Ch4 How many states per energy? Density of States How many els per state? Fermi-Dirac distribution np equation Intrinsic Doping Charge Cons.

14 Ch5 Injecting and removing Charge

15 Ch5 Injecting and removing Charge Various RG processes Indirect vs Direct RG equations Surface RG equations

16 Ch5 Injecting and removing Charge Various RG processes Indirect vs Direct RG equations Surface RG equations Rate equations Detailed Balance (Equilibrium) Low level injection Parameters (Capture CS, n 1, p 1 )

17 Ch5 Injecting and removing Charge Various RG processes Indirect vs Direct RG equations Surface RG equations Rate equations Detailed Balance (Equilibrium) Low level injection Parameters (Capture CS, n 1, p 1 ) RG

18 Ch6 Relocating charge within the system DRIFT DIFFUSION Ch5 RG

19 Mobility Ch6 Relocating charge within the system DRIFT DIFFUSION Ch5 RG

20 Mobility Depends on Ch6 Relocating charge within the system DRIFT Measured through DIFFUSION Ch5 RG

21 Mobility Depends on Doping Temperature Bandstructure (TED) Measured through Resistivity Hall Ch6 Relocating charge within the system DRIFT DIFFUSION Ch5 RG

22 Ch6 Relocating charge within the system Diffusion DRIFT DIFFUSION Ch5 RG

23 Ch6 Relocating charge within the system Diffusion Einstein Relation DRIFT DIFFUSION Ch5 RG

24 Final transport Equations Ch6 Relocating charge within the system DRIFT DIFFUSION Ch5 RG

25 Final transport Equations Drift-Diffusion (Quasi-Fermi Level) Continuity with RG Poisson Ch6 Relocating charge within the system DRIFT DIFFUSION

26 Final transport Equations Drift-Diffusion (Quasi-Fermi Level) Continuity with RG Poisson MCDE

27 Concepts & Equations Applications: Devices Current = (charge) x (velocity) Ch1-4 Ch5-6

28 Applications: Devices

29 Applications: Devices

30 Applications: Devices PN junction diodes BJTs HBTs Schottky Diodes MOSFETs HEMTs/MODFETs Solar Cells Photodetectors

31 Applications: Devices PN junction diodes

32 Applications: Devices PN junction diodes Depletion width Built-in potential Shockley Equation Non-idealities Small Signal RCs Transients

33 Applications: Devices PN junction diodes Depletion width Built-in potential Shockley Equation Non-idealities Small Signal RCs Transients

34 Applications: Devices Metal-Semic Diodes

35 Applications: Devices Metal-Semic Diodes Richardson Eqn Ohmic contacts

36 Applications: Devices BJTs

37 Applications: Devices BJTs Operation Common E Gain I-Vs, Ebers-Moll Non-idealities HBTs

38 I B I B V EB V EC I C V EC Applications: Devices BJTs Operation Common E Gain I-Vs, Ebers-Moll Non-idealities HBTs

39 Applications: Devices FETs

40 Applications: Devices FETs Inversion Sq-Law I-V Threshold shifts C-Vs Non-idealities CMOS

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