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Background Process steps up to ‘creating the transistors’ in the manufacturing Line==> Front End Of Line ==> FEOL Connecting the Transistors, capacitors etc ==> BEOL Semiconductor Band Structure, current carriers, mobility, bias MOS device basics structure, Operation, depletion, inversion, pinch off Issues Steps in manufacturing 5/25/2017 2 FEOL: Device BiPolar Device- Schematic N Emitter P - - + + N N Base Collector P N Forward Bias + - - + N P N Reverse Bias FEOL: FET Device - Simplified Schematic Gate (Base) Source (Emitter) P P P N-Well Electric Field of gate Gate Dielectric (oxide) Drain (Collector) PMOS NMOS is similar (swap P and N) Background: Electron Bands Electrons in an atom can hold only certain energy levels (allowed levels, quantized energy levels) Solution of Schroedinger’s equation When two identical atoms come close (eg. Silicon and silicon), electron levels split Pauli’s exclusion principle for fermions almost always valid (*neutron stars, black holes) When many atoms come together, allowed energy levels form “bands” Electrons temporal/spatial position given by wave function (uncertainity principle) Background: Bands 1 Atom Allowed Energy Levels N Atom Allowed Energy Levels When many atoms come together, the energy bands form Background: Bands Energy bands and gaps depend on space between the atoms Energy Space between atoms Background: Solid groups Solids: Ionic bond, covalent bond, metallic bond insulator, metal, semiconductor Resistivity insulator: > 1Mohm-cm conductor: < 10 uohm-cm at room temperature Background: Band gap Energy bands and gaps depend on space between the atoms METAL INSULATOR Filled levels Empty levels Energy BAND GAP Space between atoms Space between atoms Background: Bandgap Semi conductors similar to insulators with small band gap ( 1eV) (Insulators > 3eV) Valence band : Top most occupied band Conduction band: lowest empty band Valence and conduction bands overlap: Metal Band gap: DE between top of valence band and bottom of conduction band Metals: Band overlap Background: Resistance vs Temp Indirect and Direct Band Gap Silicon - indirect, GaAs- Direct band gap phonon assisted jump (momentum, energy) Resistance vs Temp phonon scattering: metal: electron in conduction bands/ holes in valence bands: semiconductor Background: Semiconductors Silicon is “intrinsic” semiconductor Addition of other ‘contaminant’ (Dopant) to alter its conductivity : Extrinsic N Type (negative) or P Type (positive) Donor electron, Acceptor hole (larger effective mass) Phosphorous for N Type, Boron for P Type (for Overall neutrality is maintained (number IIIA IVA VA VIA example) 5 6 7 8 of protons = number of electrons) B C N O 13 Counter doping (when some P and some N type materials are added) (junction is where N = P) Al 14 Si 31 15 P 32 16 S 33 34 Ga Ge As Se 49 In 50 51 Sn Sb Te 52 Background: Conduction For intrinsic semiconductors (based on calculations) EC EF n N c exp kT EF EV p NV exp kT EF - Fermi level. Energy where the prob(electron) = 0.5 = half way between EC and EV for semiconductor Eg EC EV kT np N c NV exp N C NV e kT For intrinsic case, n = p Background: Doping N Atom Allowed Energy Levels Conduction N Doping P Doping EF Valence Doping shifts Fermi level, smaller “band gap” Extrinsic Semiconductor : “n” not equal to “p” Dopant Valence Band Background: Doping Majority carrier, Minority carrier Carrier Mobility hole has heavier (effective) mass less mobile P-N junction depletion region PN junction EC EF EV N Type P Type EF EF N P Background: Bias Reverse Bias and Forward Bias N connected with -ve, P with +ve : Forward Bias Opposite polarity : Reverse Bias increase in depletion region I-V curve I Reverse Forward MOS CAPACITOR N Oxide +- +- +- +P + Accumulation + + + N+ + - - - P Depletion + + + N+ + - - - P - Inversion Mobile electrons at the oxide Oxide + depletion Simple Capacitor interface. two capacitors in series Immobile -ve ions in the solid Similar results if the ‘top’ N is replaced by metal Originally metal was used Metal-Oxide-Semiconductor structure or MOS structure MOS FET Transistor using Electric Field to control Field Effect Transistor or FET Made with MOS ==> MOSFET Other types: JFET (Junction FET), MESFET etc Drain (Collector) N-MOSFET (NMOS in short) Gate (Base) + - N+ N+ P N+ Source (Emitter) MOS FET: Structure NMOS: By definition, Source is at lower voltage than drain PMOS: By definition, Source is at higher voltage than drain NMOS: IDS (Drain to Source current) is positive PMOS: IDS is negative NMOS Drain (Collector) Gate (Base) + - N+ N+ P N+ Source (Emitter) NMOS: Operation Negative gate voltage: Accumulation of holes in P region, near oxide No formation of Channel NMOS Drain (Collector) Gate (Base) + N+ - -N+ -++++ P N+ Source (Emitter) NMOS: Operation Positive gate voltage: Depletion of holes near the oxide No channel formation NMOS Drain (Collector) Gate (Base) + N+ N+ + P N+ Source (Emitter) NMOS: Operation MORE positive gate voltage Inversion: Accumulation of electrons in P region (minority carrier is more than the majority carrier) near oxide Formation of Channel NMOS Drain (Collector) Gate (Base) + N+ N+ ++++ ---P Trapped charges in gate ==> Flash memory N+ Source (Emitter) NMOS: Operation Threshold Voltage VT, Gate Voltage VG , Source Voltage VS and Drain Voltage VD. If Source is grounded, then VDS is same as VD NMOS inversion Drain (Collector) Gate (Base) + N+ N+ ++++ ---P N+ Source (Emitter) NFET Behavior For VG > VT , Channel forms (VG - VT ) is the overdrive Small shifts in VG causes large changes in IDS VT depends on Doping in P and oxide thickness IDS depends on VG and VDS Analogy: Water flow (from MIT EE web site) Source and Drains are two tanks, Channel is pipe connecting two tanks and Gate is the valve VDS is the height difference between source and drain tanks VG indicates the position of valve Opening the valve more increases flow (electron concentration) Increasing the height difference increases the flow (field) NFET Behavior Beyond a limit, increase in height VDS changes the behavior No more increase in current flow (for a given VG) NFET I-V curve When VDS is very large (> VG-VT) VG-VT=0.6 V LINEAR IDS Saturation current SATURATION VG-VT=0.4 V IDS VG - VT = 0.2V VT VG = VT VG V CUT OFF DS IDSAT depends on VG and on the gate length (channel length) NMOS: Operation NMOS Drain (Collector) Gate (Base) + N+ N+ ++++ ---P - Source (Emitter) N+ NOTE: Inversion layer will be thicker near source and thinner near drain NMOS: Pinch Off NMOS Drain (Collector) Gate (Base) + N+ N+ ++++ ---P - Source (Emitter) N+ When VDS is very high (= VG-VT), Inversion layer thickness becomes zero near drain Pinch off However, no barrier to current flow NMOS: Beyond Pinch Off NMOS Drain (Collector) Gate (Base) + N+ N+ ++++ ---P - Source (Emitter) N+ Beyond pinch off, increasing VDS does not cause increase in ID However, channel length becomes shorter and there is slight increase in ID MOSFET: Some issues Above conclusions based on VS=0 (grounded) Otherwise, VG refers to VGS When the field is high, electrons have high energy can damage the silicon/ oxide (gate) interface near drain Hot Carrier Effect Gate (Base) Drain Source (Collector) + - (Emitter) N+ ++++ ---N+ N+ P Reduce the doping concentration near Drain Lightly Doped Drain (LDD) MOSFET: Some issues When channel is very short (gate length is short), depletion regions in source and drain may merge short channel effect increase doping to keep VT non zero Refer to Device books for details of the above and other issues MOSFET: Speed The time it takes to switch a transistor ON / OFF decides the speed of a digital circuit shorter Gate length ==> Faster switching ON/OFF Drain (Collector) Gate (Base) + N+ N+ ++++ ---- P N+ Source (Emitter) MOSFET: Device If the base is also lightly doped N, it is depletion mode device (ON by default). Current schematic is Enhancement mode device (OFF by default). Most devices are Enhancement mode devices Depletion devices in imperfect crystals (historical) Drain (Collector) Gate (Base) + N+ N+ ++++ ---- P N+ Source (Emitter) FEOL: MOSFET Combination of PMOS and NMOS is called “Complementary MOS” or CMOS When a voltage is applied to the gates, one transistor is on and the other is off CMOS - Advantages Scalable Power consumption is low Any any point of time, one of the devices is “off”