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Semiconductor Physics

p–n junction

A p–n junction is an interface or boundary between two types of semiconductor material, p-type and n-type, within a single crystal. It is the fundamental building block of modern electronic devices, including diodes, transistors, solar cells, LEDs, and integrated circuits. The junction's unique electrical properties arise from the diffusion of charge carriers across the interface, creating a depletion region that rectifies current and enables a wide range of electronic functions.

1839
Year of first observation of rectification (Becquerel)
Year
~0.7 V
Typical forward voltage drop for silicon p–n diode
Voltage
~0.3 V
Typical forward voltage drop for germanium p–n diode
Voltage
1940s
Decade of theoretical and practical development (Shockley, Brattain, Bardeen)
Decade
1

Formation and equilibrium

A p–n junction is formed by doping a single semiconductor crystal so that one side is p-type (excess holes) and the other is n-type (excess electrons). At the instant of contact, the concentration gradient causes electrons to diffuse from the n-side into the p-side and holes to diffuse in the opposite direction. This diffusion leaves behind ionized donor and acceptor atoms, creating a region devoid of mobile carriers called the depletion region. An electric field develops across this region, opposing further diffusion until equilibrium is reached. The built-in potential, typically about 0.7 V for silicon and 0.3 V for germanium, is a result of this charge separation. The width of the depletion region depends on doping concentrations and applied voltage; it narrows under forward bias and widens under reverse bias.

2

Electrical characteristics

The current–voltage (I–V) characteristic of a p–n junction is highly nonlinear and rectifying. Under forward bias (positive voltage on the p-side), the applied voltage reduces the built-in potential, allowing current to flow exponentially with voltage, as described by the Shockley diode equation. Under reverse bias, the depletion region widens, and only a small saturation current flows due to minority carriers; if the reverse voltage exceeds the breakdown voltage, avalanche or Zener breakdown occurs, leading to a sharp increase in current. This rectifying behavior is exploited in diodes for converting alternating current (AC) to direct current (DC). The junction also exhibits capacitance effects due to the depletion region, which is utilized in varactor diodes for voltage-controlled tuning.

3

Applications in devices

p–n junctions are the active elements in a vast array of electronic and optoelectronic devices. The most basic is the p–n diode, used for rectification, signal demodulation, and protection circuits. Bipolar junction transistors (BJTs) consist of two p–n junctions in close proximity, enabling current amplification and switching. Solar cells and photodiodes operate on the photovoltaic effect, where absorbed photons generate electron–hole pairs that are separated by the junction's electric field, producing a photocurrent. Light-emitting diodes (LEDs) and laser diodes rely on radiative recombination of carriers under forward bias, emitting light of a wavelength determined by the semiconductor bandgap. Integrated circuits, including microprocessors and memory chips, contain billions of p–n junctions as part of transistors and other components.

4

Lesser-known aspects

Beyond the standard silicon devices, p–n junctions have several niche and historical facets. The first observation of rectification at a metal–semiconductor contact was made by Ferdinand Braun in 1874, but the modern p–n junction theory was developed by Russell Ohl in 1940, who discovered the photovoltaic effect in a silicon ingot with an accidental junction. The term 'p–n junction' was coined by William Shockley in his 1949 paper. In high-power applications, p–n junctions are used in thyristors and power diodes, where they handle large currents and voltages. Additionally, p–n junctions are integral to radiation detectors, where the depletion region acts as a sensitive volume for ionizing particles. In heterojunctions, two different semiconductors are joined, creating band discontinuities that are exploited in high-electron-mobility transistors (HEMTs) and quantum well lasers. The concept of a p–n junction also extends to organic semiconductors, where junctions between p-type and n-type organic materials are used in organic solar cells and OLEDs.

Glossary

Depletion region
The area around the p–n junction where mobile charge carriers are absent, leaving ionized donor and acceptor atoms.
Forward bias
Applying a voltage that reduces the built-in potential, allowing current to flow through the junction.
Reverse bias
Applying a voltage that increases the built-in potential, widening the depletion region and blocking current flow.
Built-in potential
The electric potential difference across the depletion region at equilibrium, due to the charge separation.
Shockley diode equation
An equation that models the exponential current–voltage relationship of a p–n diode.
Avalanche breakdown
A phenomenon where high reverse voltage causes impact ionization, leading to a sudden increase in current.
Zener breakdown
A breakdown mechanism in heavily doped junctions where tunneling occurs at low reverse voltages.
Heterojunction
A junction formed between two different semiconductor materials with different bandgaps.

The p–n junction remains a cornerstone of semiconductor technology, enabling the digital age through its ubiquitous presence in electronic devices.