Depletion Region and Potential Barrier in a p-n Junction

Physics · Semiconductor Electronics : Materials, Devices And Simple Circuits · NEET

When a p-n junction forms, holes diffuse to the n-side and electrons to the p-side. Near the junction they meet and recombine, leaving behind fixed (immobile) charged ions: negative ions on the p-side and positive ions on the n-side. This thin layer with no free charge carriers is the depletion region, and the potential difference built across it (V0, about 0.3 V for Ge and 0.7 V for Si) is the potential barrier that stops further diffusion. Memory hook: "Diffuse, recombine, leave ions behind - the barrier is born."
p-siden-sideDepletion region(only fixed ions, no free carriers)---+++Built-in field (n to p)Barrier V0 = 0.3 V (Ge), 0.7 V (Si)
At the p-n junction, diffusion leaves fixed negative ions on the p-side and fixed positive ions on the n-side. This charge-free depletion region sets up a built-in field (n to p) and a potential barrier V0 (about 0.3 V for Ge, 0.7 V for Si) that opposes further diffusion of majority carriers.

Your doubts, answered

Why is it called the depletion region and does it have free carriers?

It is called depletion because it is depleted (emptied) of free (mobile) charge carriers. When holes from the p-side and electrons from the n-side diffuse across the junction, they recombine and cancel out. So this narrow zone has almost no free electrons or holes. What is left are only the fixed, immobile ion cores. Because it has no free carriers, its resistance is very high.

Which side of the depletion region is positive and which is negative?

The n-side of the depletion region is positive and the p-side is negative. On the n-side, electrons leave and expose fixed positive donor ions, so it becomes positive. On the p-side, holes are filled by arriving electrons, exposing fixed negative acceptor ions, so it becomes negative. So the built-in electric field points from n-side to p-side, which is why the n-material is at a higher potential than the p-material.

What actually causes the potential barrier?

The layer of fixed positive ions (n-side) and fixed negative ions (p-side) sets up an electric field across the junction. This charge separation creates a potential difference V0 across the depletion region, called the potential barrier or built-in potential. It opposes the further diffusion of majority carriers (holes from p, electrons from n). Diffusion stops when this barrier grows strong enough that the drift current exactly balances the diffusion current - that is equilibrium.

Is the potential barrier the same as V0 (built-in potential)?

Yes. The potential barrier, barrier potential and built-in potential V0 all mean the same thing for an unbiased junction: the voltage difference that appears across the depletion region at equilibrium. Its typical value is about 0.3 V for germanium and about 0.7 V for silicon. Important NEET point: you cannot measure V0 with a voltmeter across the diode terminals, because a matching contact potential appears at the metal-semiconductor contacts and cancels it in an external circuit.

Why does no net current flow at equilibrium if there is a potential difference?

Because two opposite currents cancel. The concentration gradient drives a diffusion current of majority carriers across the junction. The built-in field drives a drift current of minority carriers in the opposite direction. At equilibrium these two are equal and opposite, so the net current is zero even though a potential barrier V0 exists across the depletion region.

⚠️ The NEET trap
The depletion region is full of free electrons and holes and conducts easily.
The depletion region is depleted of free carriers - it contains only fixed (immobile) charged ions, so it has very high resistance.
🧠 Depletion means EMPTY of mobile charges. The charge that remains is fixed ion cores, not free electrons or holes.

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Frequently asked

What is the depletion region in a p-n junction?

It is a thin layer around the junction that is depleted of free charge carriers. It contains only fixed positive donor ions on the n-side and fixed negative acceptor ions on the p-side. Its typical width is a fraction of a micrometre.

What is the value of the potential barrier for Si and Ge?

The potential barrier V0 is about 0.7 V for a silicon junction and about 0.3 V for a germanium junction at room temperature. Silicon has a larger barrier because it has a larger energy gap.

Does the potential barrier increase in forward or reverse bias?

It decreases in forward bias (effective barrier becomes V0 minus V) and increases in reverse bias (effective barrier becomes V0 plus V). So the depletion width shrinks in forward bias and widens in reverse bias.

Can you measure the barrier potential V0 with a voltmeter?

No. When you connect a voltmeter, contact potentials appear at the metal-semiconductor junctions that exactly cancel V0. So no current flows and the voltmeter reads zero. V0 exists across the depletion region but is not available in the external circuit.

What is the direction of the built-in electric field?

The field points from the n-side to the p-side (from positive ions to negative ions) across the depletion region. This field opposes the diffusion of majority carriers, which is why it forms a barrier.