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Semiconductor: An Educational Resource

semiconductor, electronics, materials, physics

An educational resource on semiconductors, including their properties, materials, preparation, and physics.


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Introduction to Semiconductors

A semiconductor is a material with electrical conductivity between that of a conductor (like copper) and an insulator (like glass). This unique property makes semiconductors essential components in modern electronics.

Semiconductor: A material with electrical conductivity ranging between conductors and insulators. Its conductivity can be manipulated by external factors like temperature, light, and the introduction of impurities.

Unlike conductors that readily allow electric current to flow and insulators that strongly resist it, semiconductors can be controlled to either conduct or insulate under different conditions. This controllability is the key to their usefulness.

Key Characteristics of Semiconductors:

These characteristics enable semiconductors to perform a wide range of functions in electronic devices, including:

Common Semiconductor Materials:

Several materials exhibit semiconducting properties. Some prominent examples include:

Metalloid Staircase: A diagonal line on the periodic table separating metals from nonmetals. Elements near this staircase often exhibit properties intermediate between metals and nonmetals, including semiconducting behavior.

Semiconductor Junctions: The Building Blocks of Electronics

A crucial concept in semiconductor technology is the semiconductor junction. This is formed when two regions of a semiconductor crystal are doped differently, creating distinct electrical properties within the same material.

Semiconductor Junction: The interface created when two regions of a semiconductor material are doped with different types of impurities (e.g., p-type and n-type). These junctions are fundamental to the operation of diodes and transistors.

The behavior of charge carriers (electrons and holes) at these junctions is the foundation for many essential electronic components:

Properties of Semiconductors

Semiconductors exhibit a range of properties that make them exceptionally versatile for electronic applications.

Variable Electrical Conductivity

In their pure, intrinsic state, semiconductors are not very conductive. This is because their electrons are tightly bound in chemical bonds, and there are few free charge carriers to conduct electricity.

Intrinsic Semiconductor: A pure semiconductor material with no dopants added. Its conductivity is primarily determined by its inherent electronic properties.

However, the conductivity of semiconductors can be dramatically changed through doping and gating.

Doping: Tailoring Conductivity

Doping is the process of intentionally introducing impurities into a semiconductor crystal to modify its electrical conductivity. These impurities, called dopants, alter the number of charge carriers available within the material.

Doping: The intentional introduction of impurities into an intrinsic semiconductor to modify its electrical conductivity. Dopants can be either donors (n-type doping) or acceptors (p-type doping).

There are two main types of doping:

n-type Semiconductor: A semiconductor doped with donor impurities, resulting in an excess of free electrons as majority charge carriers.

p-type Semiconductor: A semiconductor doped with acceptor impurities, resulting in an excess of holes as majority charge carriers.

Example of Doping Silicon:

Gating: Electric Field Control

Gating refers to using an electric field to control the conductivity of a semiconductor. This is the principle behind field-effect transistors (FETs). By applying a voltage to a “gate” electrode, the electric field can attract or repel charge carriers in the semiconductor channel beneath the gate, effectively controlling the current flow.

Homojunctions

A homojunction is formed when two regions of the same semiconductor material are doped differently, typically creating a junction between a p-type region and an n-type region (a p-n junction).

Homojunction: A junction formed between two differently doped regions of the same semiconductor material. A common example is a p-n junction.

Formation of a p-n junction:

  1. Diffusion of Charge Carriers: At the junction, there is a high concentration of electrons in the n-type region and a high concentration of holes in the p-type region. Electrons from the n-type region diffuse across the junction into the p-type region, and holes from the p-type region diffuse into the n-type region.
  2. Recombination: When electrons and holes meet at the junction, they recombine. This means an electron fills a hole, effectively eliminating both charge carriers in that region.
  3. Depletion Region: The recombination process depletes the area around the junction of mobile charge carriers (electrons and holes). This region is called the depletion region or space charge region. Within this region, immobile ionized dopant atoms are left behind (positive ions in the n-side and negative ions in the p-side).
  4. Electric Field: The immobile ions in the depletion region create an electric field across the junction, pointing from the positive n-side ions to the negative p-side ions. This electric field opposes further diffusion of charge carriers and establishes an equilibrium.

The p-n junction is the fundamental building block of diodes and transistors. Its properties are crucial for rectification, switching, and amplification.

Excited Electrons

Semiconductors are sensitive to external stimuli like voltage, temperature, and light, which can disrupt their thermal equilibrium and excite electrons.

Electron-Hole Pair: Created when an electron is excited from the valence band to the conduction band, leaving behind a “hole” in the valence band. Both the electron and the hole can act as charge carriers.

Generation and Recombination

Generation (of charge carriers): The process of creating electron-hole pairs in a semiconductor, increasing the concentration of charge carriers.

Recombination (of charge carriers): The process of an electron and a hole annihilating each other, reducing the concentration of charge carriers.

Light Emission

In certain direct band gap semiconductors like gallium arsenide (GaAs) and gallium nitride (GaN), when excited electrons recombine, they can release energy in the form of light (photons) rather than just heat (phonons). This phenomenon is called luminescence.

Direct Band Gap Semiconductor: A semiconductor where the lowest energy level in the conduction band and the highest energy level in the valence band occur at the same momentum value. This allows for efficient radiative recombination (light emission).

By controlling the semiconductor material’s composition and the applied electrical current, the wavelength (color) and intensity of the emitted light can be precisely controlled. This property is exploited in:

High Thermal Conductivity

Some semiconductors, particularly those based on diamond and silicon carbide (SiC), exhibit high thermal conductivity. This property is crucial for:

High thermal conductivity semiconductors are important in applications like:

Thermal Energy Conversion

Semiconductors can also be used for thermal energy conversion, meaning they can convert temperature differences into electrical energy (thermoelectric generation) or use electrical energy to create temperature differences (thermoelectric cooling).

Seebeck Effect: The phenomenon where a temperature difference between two different electrical conductors or semiconductors creates a voltage difference between them.

Peltier Effect: The phenomenon where heat is either absorbed or released at the junction between two different conductors or semiconductors when an electric current flows through the junction.

Thermoelectric Power Factor: A measure of a material’s ability to generate voltage in response to a temperature difference.

Thermoelectric Figure of Merit (ZT): A dimensionless quantity that measures the efficiency of a thermoelectric material for energy conversion. Higher ZT values indicate better thermoelectric performance.

Materials Used in Semiconductors

A wide variety of materials exhibit semiconducting properties, categorized into different groups:

Semiconducting materials can be crystalline, amorphous, or liquid.

Preparation of Semiconductor Materials

The fabrication of semiconductor devices, especially integrated circuits (ICs), requires extremely pure and structurally perfect semiconductor materials. Impurities and crystal defects can significantly degrade device performance.

Material Purity and Crystal Perfection

Crystal Growth

Large, single-crystal ingots of semiconductor materials are grown using techniques like the Czochralski method.

Czochralski Method: A crystal growth technique used to produce large, single-crystal ingots of semiconductors (like silicon). A seed crystal is dipped into molten semiconductor material and slowly pulled upwards while rotating, allowing a large single crystal to grow.

  1. Melting: The semiconductor material (e.g., silicon) is melted in a crucible at high temperature.
  2. Seeding: A small, precisely oriented seed crystal of the same material is dipped into the melt.
  3. Pulling and Rotation: The seed crystal is slowly pulled upwards while being rotated. As the seed is pulled, molten material solidifies onto it, growing a large, cylindrical single crystal ingot.
  4. Ingot Slicing: The grown ingot is then sliced into thin circular wafers.

Wafer: A thin slice of semiconductor material (typically silicon) used as the substrate for fabricating integrated circuits and other semiconductor devices.

Wafer Processing for Integrated Circuits

Creating integrated circuits on semiconductor wafers involves a series of complex processes:

  1. Thermal Oxidation: Forming a layer of silicon dioxide (SiO2) on the silicon wafer surface by heating it in an oxygen-rich atmosphere. SiO2 acts as an insulator and is used as a gate insulator in transistors and as a field oxide to isolate different circuit components.
  2. Photolithography: A process used to transfer circuit patterns onto the wafer.
    • Photoresist Coating: The wafer is coated with a light-sensitive material called photoresist.
    • Photomask: A photomask, containing the desired circuit pattern, is placed over the wafer.
    • UV Exposure: Ultraviolet (UV) light is shone through the photomask, exposing the photoresist according to the pattern.
    • Development: The exposed photoresist is developed, removing either the exposed or unexposed regions, depending on the type of photoresist (positive or negative). This leaves a patterned photoresist layer on the wafer.
  3. Etching: Removing material from the wafer in the areas not protected by the patterned photoresist.
    • Plasma Etching: A common etching technique using plasma (ionized gas) in a low-pressure chamber. Reactive ions in the plasma chemically react with the exposed semiconductor material, etching it away anisotropically (directionally). Common etch gases include chlorofluorocarbons (Freons).
  4. Diffusion (Doping): Introducing dopant atoms into specific regions of the wafer to create p-type and n-type regions and form p-n junctions.
    • High-Temperature Diffusion: Wafers are heated to high temperatures (e.g., 1100 °C) in a furnace, and dopant gases are introduced. Dopant atoms diffuse into the silicon, creating doped regions.
    • Ion Implantation: Dopant ions are accelerated to high energies and implanted into the wafer. This allows for precise control over dopant concentration and depth.

These processes are repeated multiple times, using different photomasks and dopants, to build up the complex multilayer structure of an integrated circuit with transistors, diodes, and interconnections on a single semiconductor chip.

Physics of Semiconductors

The behavior of semiconductors is fundamentally governed by quantum physics and solid-state physics principles.

Energy Bands and Electrical Conduction

The electrical conductivity of materials (conductors, semiconductors, and insulators) can be explained by their electronic band structure.

Electronic Band Structure: Describes the allowed energy levels that electrons can occupy in a solid material. It consists of energy bands separated by band gaps.

Conduction in Different Materials:

Fermi Level:

Fermi Level: The highest energy level that electrons can occupy at absolute zero temperature (0 Kelvin). At non-zero temperatures, it represents the energy level with a 50% probability of being occupied by an electron.

The position of the Fermi level relative to the energy bands is crucial for determining the electrical properties of a material.

Charge Carriers (Electrons and Holes)

Electrical current in semiconductors is carried by two types of charge carriers:

Both electrons in the conduction band and holes in the valence band can move and contribute to current flow when an electric field is applied.

Electron and Hole Mobility:

Mobility: A measure of how easily charge carriers (electrons or holes) move through a material in response to an electric field. Higher mobility means carriers can move faster for a given electric field, leading to higher conductivity.

Electrons and holes have different mobilities in a semiconductor material, influenced by factors like:

Carrier Generation and Recombination

Electron-hole pairs are constantly being generated and recombining in semiconductors.

Equilibrium and Steady State:

In thermal equilibrium, the rate of generation of electron-hole pairs is equal to the rate of recombination. The product of electron concentration (n) and hole concentration (p) is a constant at a given temperature, known as the intrinsic carrier concentration squared (ni2).

Intrinsic Carrier Concentration (ni): The concentration of electrons and holes in an intrinsic (undoped) semiconductor in thermal equilibrium. It is temperature-dependent and characteristic of the semiconductor material.

Doping shifts the equilibrium concentrations of electrons and holes. In n-type semiconductors, the electron concentration is much higher than the hole concentration (electrons are majority carriers, holes are minority carriers). In p-type semiconductors, holes are majority carriers and electrons are minority carriers.

Doping (Detailed Explanation)

Doping is a crucial technique for controlling the conductivity and electrical properties of semiconductors.

Types of Dopants:

Mechanism of Doping:

Doping Concentration:

The amount of dopant added is carefully controlled to achieve the desired conductivity. Even a small amount of doping (parts per million or parts per billion) can significantly alter the conductivity of a semiconductor.

Doping Techniques:

Amorphous Semiconductors

Amorphous semiconductors lack the long-range crystalline order of crystalline semiconductors. Examples include amorphous silicon (a-Si) and chalcogenide glasses (containing elements like selenium and tellurium).

Properties of Amorphous Semiconductors:

Early History of Semiconductors

The discovery and understanding of semiconductors evolved over centuries, starting with observations of unusual electrical phenomena in certain materials.

19th Century Observations:

Early 20th Century: Development of Theory

Mid-20th Century: Transistor and Integrated Circuit Revolution

See Also

References

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Further Reading

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