Contact
How Metal Meets the Semiconductor
Every active semiconductor device must connect its internal regions to the outside world through metal pads, and the quality of those connections sets a hard floor on performance. When a metal touches a semiconductor, the difference between the metal work function and the semiconductor electron affinity creates an energy barrier at the interface, called the Schottky barrier height, φB. The way carriers cross that barrier decides whether the junction is ohmic or rectifying. If the barrier is high and the semiconductor is lightly doped, carriers must climb over it by thermionic emission, giving a diode-like rectifying characteristic. If the surface is doped very heavily, the depletion region becomes so thin that electrons tunnel straight through, collapsing the rectification into a near-linear, low-resistance ohmic response.
For RF and millimeter-wave transistors the source and drain require ohmic contacts, while the gate of a MESFET or HEMT deliberately uses a Schottky contact to modulate the channel. Achieving a good ohmic contact on a wide-bandgap material such as GaN is harder than on silicon because the barrier height is large; designers thin the barrier with a heavily doped cap layer or by alloying, where a high-temperature anneal drives metal and dopant into the surface to form a low-resistivity interfacial layer. A Ti/Al/Ni/Au stack annealed at 800 to 870 °C is a common GaN HEMT recipe, while AuGeNi alloyed near 420 °C is the classic GaAs ohmic.
The figure of merit is specific contact resistivity ρc, the resistance normalized to contact area in Ω·cm2. Because source contact resistance adds in series with the channel, even tenths of an ohm-millimeter degrade the effective transconductance and raise the minimum sheet resistance seen between terminals, directly limiting fT and noise figure.
Contact Resistance and Transfer Length
Rc = (Rsh × LT) / W coth(d / LT) ≈ (Rsh × LT) / W (d > 1.5·LT)
Transfer length:
LT = √(ρc / Rsh)
Specific contact resistivity from TLM:
ρc = Rsh × LT2 (Ω·cm2)
Effective transconductance with source resistance:
gm,eff = gm / (1 + gm × Rs)
Where Rsh = sheet resistance (Ω/sq), LT = transfer length, W = contact width, d = contact length, ρc = specific contact resistivity, Rs = series source resistance. Example: Rsh = 300 Ω/sq and ρc = 3×10-6 Ω·cm2 give LT = √(3×10-6/300) = 1 μm.
Ohmic vs. Schottky Contact Systems
| Contact Type | Semiconductor | Typical Metal Stack | Anneal | Specific Resistivity / Barrier | Used For |
|---|---|---|---|---|---|
| Ohmic | n-GaAs | AuGeNi / Au | ~420 °C | 1 to 5 × 10-6 Ω·cm2 | FET source / drain |
| Ohmic | n-GaN (HEMT) | Ti/Al/Ni/Au | 800 to 870 °C | 1 to 5 × 10-6 Ω·cm2 | HEMT source / drain |
| Ohmic | n+ Si | TiSi2 / W | 600 to 700 °C | 10-7 to 10-6 Ω·cm2 | CMOS S/D |
| Schottky | n-GaAs | Ti/Pt/Au | None | φB ≈ 0.8 eV | MESFET / diode gate |
| Schottky | n-GaN | Ni/Au | None | φB ≈ 1.0 eV | HEMT gate, mixer diode |
Frequently Asked Questions
What is the difference between an ohmic contact and a Schottky contact?
An ohmic contact conducts symmetrically with low, linear resistance and is used for source, drain, and emitter terminals. A Schottky contact is rectifying, forming a metal-semiconductor barrier used for diode and MESFET/HEMT gates. The same metal system can be either: heavy surface doping (above 1019 cm-3) thins the barrier so electrons tunnel through, giving ohmic behavior, while light doping preserves the rectifying Schottky barrier. Alloying an ohmic stack, such as AuGeNi on GaAs near 420 °C, forms a low-resistivity interfacial layer.
How is specific contact resistivity measured with the TLM method?
The transfer length method places identical pads at increasing gaps and plots total resistance versus spacing. The slope gives sheet resistance Rsh, the y-intercept equals 2Rc, and the x-intercept equals twice the transfer length LT. Then ρc = Rsh × LT2. Good RF ohmic contacts on GaAs or GaN reach 10-6 to 10-7 Ω·cm2. Lower ρc reduces parasitic source resistance, improving transconductance, gain, and noise figure.
Why does contact resistance matter for RF transistor noise figure and gain?
Source and drain contact resistance adds in series with the channel. The extra source resistance Rs degenerates transconductance to gm,eff = gm / (1 + gmRs), cutting gain and fT; in an LNA it is also a thermal-noise source that raises Fmin. For a millimeter-wave GaN HEMT, even 0.2 to 0.3 Ω·mm of source contact can add tenths of a dB to noise figure. Targeting ρc below 10-6 Ω·cm2 with refractory or alloyed stacks keeps the contact stable at high channel temperature.