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Ohmic contact
Ohmic contact
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Ohmic contact
Component typeConnection
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Semiconductor region with one ohmic connection

An ohmic contact is a non-rectifying electrical junction: a junction between two conductors that has a linear current–voltage (I–V) curve as with Ohm's law. Low-resistance ohmic contacts are used to allow charge to flow easily in both directions between the two conductors, without blocking due to rectification or excess power dissipation due to voltage thresholds.

By contrast, a junction or contact that does not demonstrate a linear I–V curve is called non-ohmic. Non-ohmic contacts come in a number of forms, such as p–n junction, Schottky barrier, rectifying heterojunction, or breakdown junction.

Generally the term "ohmic contact" implicitly refers to an ohmic contact of a metal to a semiconductor, where achieving ohmic contact resistance is possible but requires careful technique. Metal–metal ohmic contacts are relatively simpler to make, by ensuring direct contact between the metals without intervening layers of insulating contamination, excessive roughness or oxidation; various techniques are used to create ohmic metal–metal junctions (soldering, welding, crimping, deposition, electroplating, etc.). This article focuses on metal–semiconductor ohmic contacts.

Stable contacts at semiconductor interfaces, with low contact resistance and linear I–V behavior, are critical for the performance and reliability of semiconductor devices, and their preparation and characterization are major efforts in circuit fabrication. Poorly prepared junctions to semiconductors can easily show rectifying behaviour by causing depletion of the semiconductor near the junction, rendering the device useless by blocking the flow of charge between those devices and the external circuitry. Ohmic contacts to semiconductors are typically constructed by depositing thin metal films of a carefully chosen composition, possibly followed by annealing to alter the semiconductor–metal bond.

Physics of formation of metal–semiconductor ohmic contacts

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Both ohmic contacts and Schottky barriers are dependent on the Schottky barrier height, which sets the threshold for the excess energy an electron requires to pass from the semiconductor to the metal. For the junction to admit electrons easily in both directions (ohmic contact), the barrier height must be small in at least some parts of the junction surface. To form an excellent ohmic contact (low resistance), the barrier height should be small everywhere and furthermore the interface should not reflect electrons.

The Schottky barrier height between a metal and semiconductor is naively predicted by the Schottky–Mott rule to be proportional to the difference of the metal-vacuum work function and the semiconductor-vacuum electron affinity. In practice, most metal–semiconductor interfaces do not follow this rule to the predicted degree. Instead, the chemical termination of the semiconductor crystal against a metal creates electron states within its band gap. The nature of these metal-induced gap states and their occupation by electrons tends to pin the center of the band gap to the Fermi level, an effect known as Fermi level pinning. Thus, the heights of the Schottky barriers in metal–semiconductor contacts often show little dependence on the value of the semiconductor or metal work functions, in stark contrast to the Schottky–Mott rule.[1] Different semiconductors exhibit this Fermi level pinning to different degrees, but a technological consequence is that high quality (low resistance) ohmic contacts are usually difficult to form in important semiconductors such as silicon and gallium arsenide.

The Schottky–Mott rule is not entirely incorrect since, in practice, metals with high work functions form the best contacts to p-type semiconductors, while those with low work functions form the best contacts to n-type semiconductors. Unfortunately experiments have shown that the predictive power of the model doesn't extend much beyond this statement. Under realistic conditions, contact metals may react with semiconductor surfaces to form a compound with new electronic properties. A contamination layer at the interface may effectively widen the barrier. The surface of the semiconductor may reconstruct leading to a new electronic state. The dependence of contact resistance on the details of the interfacial chemistry is what makes the reproducible fabrication of ohmic contacts such a manufacturing challenge.

Preparation and characterization of ohmic contacts

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The fabrication of the ohmic contacts is a much-studied part of materials engineering that nonetheless remains something of an art. The reproducible, reliable fabrication of contacts relies on extreme cleanliness of the semiconductor surface. Since a native oxide rapidly forms on the surface of silicon, for example, the performance of a contact can depend sensitively on the details of preparation. Often the contact region is heavily doped to ensure the type of contact wanted. As a rule, ohmic contacts on semiconductors form more easily when the semiconductor is highly doped near the junction; a high doping narrows the depletion region at the interface and allow electrons to flow in both directions easily at any bias by tunneling through the barrier.

The fundamental steps in contact fabrication are semiconductor surface cleaning, contact metal deposition, patterning and annealing. Surface cleaning may be performed by sputter-etching, chemical etching, reactive gas etching or ion milling. For example, the native oxide of silicon may be removed with a hydrofluoric acid dip, while GaAs is more typically cleaned by a bromine-methanol dip. After cleaning, metals are deposited via sputter deposition, evaporation or chemical vapor deposition (CVD). Sputtering is a faster and more convenient method of metal deposition than evaporation but the ion bombardment from the plasma may induce surface states or even invert the charge carrier type at the surface. For this reason the gentler but still rapid CVD may be used. Post-deposition annealing of contacts is useful for relieving stress as well as for inducing any desirable reactions between the metal and the semiconductor.

Because deposited metals can themselves react in ambient conditions, to the detriment of the contacts' electrical properties, it is common to form ohmic contacts with layered structures, with the bottom layer, in contact with the semiconductor, chosen for its ability to induce ohmic behaviour. A diffusion barrier-layer may be used to prevent the layers from mixing during any annealing process.

The measurement of contact resistance is most simply performed using a four-point probe although for more accurate determination, use of the transmission line method is typical.

Technologically important kinds of contacts

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Aluminum was originally the most important contact metal for silicon which was used with either the n-type or p-type semiconductor. As with other reactive metals, Al contributes to contact formation by consuming oxygen from native silicon-dioxide residue. Pure aluminum did react with the silicon, so it was replaced by silicon-doped aluminum and eventually by silicides less prone to diffuse during subsequent high-temperature processing.

Modern ohmic contacts to silicon such as titanium-tungsten disilicide are usually silicides made by CVD. Contacts are often made by depositing the transition metal and forming the silicide by annealing with the result that the silicide may be non-stoichiometric. Silicide contacts can also be deposited by direct sputtering of the compound or by ion implantation of the transition metal followed by annealing.

Formation of contacts to compound semiconductors is considerably more difficult than with silicon. For example, GaAs surfaces tend to lose arsenic and the trend towards As loss can be considerably exacerbated by the deposition of metal. In addition, the volatility of As limits the amount of post-deposition annealing that GaAs devices will tolerate. One solution for GaAs and other compound semiconductors is to deposit a low-bandgap alloy contact layer as opposed to a heavily doped layer. For example, GaAs itself has a smaller bandgap than AlGaAs and so a layer of GaAs near its surface can promote ohmic behavior. In general the technology of ohmic contacts for III-V and II-VI semiconductors is much less developed than for Si.

Material Contact materials
Si Al, Al-Si, TiSi2, TiN, W, MoSi2, PtSi, CoSi2, WSi2
Ge In, AuGa, AuSb
GaAs AuGe, PdGe, PdSi, Ti/Pt/Au
GaN Ti/Al/Ni/Au, Pd/Au
InSb In
ZnO InSnO2, Al
CuIn1−xGaxSe2 Mo, InSnO2
HgCdTe In
C (diamond) Ti/Au,Mo/Au

Transparent or semi-transparent contacts are necessary for active matrix LCD displays, optoelectronic devices such as laser diodes and photovoltaics. The most popular choice is indium tin oxide, a metal that is formed by reactive sputtering of an In-Sn target in an oxide atmosphere.

Significance

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The RC time constant associated with contact resistance can limit the frequency response of devices. The charging and discharging of the leads resistance is a major cause of power dissipation in high-clock-rate digital electronics. Contact resistance causes power dissipation by Joule heating in low-frequency and analog circuits (for example, solar cells) made from less common semiconductors. The establishment of a contact fabrication methodology is a critical part of the technological development of any new semiconductor. Electromigration and delamination at contacts are also a limitation on the lifetime of electronic devices.

References

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See also

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Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
An Ohmic contact is a non-rectifying between a metal and a that enables low-resistance conduction of current in both directions, exhibiting a linear current-voltage (I-V) characteristic consistent with . This contact facilitates unimpeded transfer of majority carriers across the interface, minimizing energy barriers and ensuring efficient electrical connectivity. In contrast to rectifying Schottky contacts, which form a potential barrier that allows current flow preferentially in one direction, Ohmic contacts are designed to avoid such rectification through specific material and processing choices. The formation of an Ohmic contact typically relies on heavy doping of the adjacent to the metal (often ≥10¹⁹ dopant atoms/cm³) to narrow the to tens of nanometers, promoting quantum mechanical tunneling as the dominant conduction mechanism. Alternatively, selecting a metal with a (Φ_m) lower than that of an n-type (Φ_s) or higher for a p-type aligns the Fermi levels without creating a significant barrier, resulting in that supports free carrier flow. The performance of Ohmic contacts is evaluated using specific contact resistivity (ρ_c), defined as the limit of the across the contact divided by as voltage approaches zero (ρ_c = lim_{V→0} dV/dJ, in Ω·cm²), with ideal values approaching zero for negligible resistance. Lower ρ_c is achieved by reducing barrier height (φ_B), increasing doping density (N), and optimizing carrier effective mass (m*), as tunneling probability exponentially depends on these factors (e.g., J ∝ exp[-2 x_d √(2 m* q φ_B)/ℏ]). Common fabrication techniques include alloying or annealing metals like titanium silicide (TiSi₂) on to form stable interfaces, often with diffusion barriers such as TiN to prevent unwanted reactions. Ohmic contacts are indispensable in modern devices, including field-effect transistors, solar cells, and light-emitting diodes, where they serve as low-loss electrical terminals to external circuitry, ensuring minimal power dissipation and high-speed operation. As device dimensions scale below 50 nm, increasingly dominates overall device performance, driving ongoing research into novel materials and nanostructures to further reduce ρ_c.

Fundamentals

Definition and Principles

An ohmic contact is a non-rectifying between a metal and a that exhibits linear current-voltage (I-V) characteristics, adhering to with minimal voltage drop across the interface. This type of contact facilitates unimpeded flow of majority charge carriers, either electrons or holes, without significant rectification or barrier effects. In contrast to rectifying contacts like Schottky barriers, ohmic contacts ensure symmetric conduction for both forward and reverse biases. The concept of ohmic contacts emerged during the early development of devices in the 1940s and 1950s, particularly in the context of research at Bell Laboratories. advanced the understanding of non-rectifying interfaces in point-contact and junction s, where such contacts were essential to avoid energy barriers that could impede device operation. These early investigations built on foundational work in metal- interfaces, emphasizing low-resistance connections for practical amplification and switching applications. At its core, an ohmic contact relies on the physics of metal-semiconductor junctions, which form at the interface where charge carriers transfer between the two materials. These junctions serve as critical points for carrier transport, allowing electrons from n-type semiconductors or holes from p-type semiconductors to move freely depending on the doping configuration. The primary principle underlying ohmic contacts is their ability to enable efficient injection and extraction of charge carriers into and from the , which is vital for maintaining high device performance and minimizing power losses. Without such low-resistance interfaces, external circuitry could not effectively communicate with the active regions, leading to degraded functionality in transistors and other devices.

Electrical Characteristics

Ohmic contacts are characterized by a linear current-voltage (I-V) relationship, following as I=V/RI = V / R, where RR represents the total resistance encompassing both the bulk and the contact interfaces, and this linearity holds over a broad voltage range without any rectification effects. This behavior arises from efficient carrier transport across the interface, ensuring minimal at the contact for applied currents. A key metric for evaluating ohmic contact performance is the specific contact resistivity ρc\rho_c, defined as ρc=limV0(dVdI)×A\rho_c = \lim_{V \to 0} \left( \frac{dV}{dI} \right) \times A, where AA is the contact area, measured at zero in units of Ωcm2\Omega \cdot \mathrm{cm}^2. For effective ohmic contacts in semiconductors, ρc\rho_c is typically below 106Ωcm210^{-6} \, \Omega \cdot \mathrm{cm}^2, with values as low as 108Ωcm210^{-8} \, \Omega \cdot \mathrm{cm}^2 achieved in optimized metal-silicon interfaces through heavy doping and appropriate metallization. Low ρc\rho_c ensures that the contact does not significantly limit device performance by introducing excessive series resistance. The I-V characteristics of ohmic contacts demonstrate between forward and reverse directions, with current flow proportional to voltage magnitude in both polarities and no exponential rise typical of rectifying junctions. This bidirectional stems from equivalent mechanisms, such as tunneling, operating effectively regardless of polarity. Temperature influences the electrical properties of ohmic contacts, where the often increases modestly with rising temperature due to reduced carrier mobility in the , though the overall ohmic nature persists without transitioning to rectifying behavior. In tunneling-dominated contacts, this dependence is weaker compared to mechanisms. In silicon-based devices, ideal ohmic contacts to heavily doped n-type or p-type regions effectively realize a near-zero barrier height through enhanced field-assisted tunneling, enabling low-resistance current injection and extraction essential for and operation. For instance, doping concentrations exceeding 1019cm310^{19} \, \mathrm{cm}^{-3} in yield ρc\rho_c values in the 10710^{-7} to 106Ωcm210^{-6} \, \Omega \cdot \mathrm{cm}^2 range using silicide-forming metals like disilicide.

Comparison to Rectifying Contacts

Schottky Barrier Contacts

A contact is a rectifying metal- junction that forms a barrier, termed the Schottky barrier height ϕB\phi_B, which permits efficient majority carrier transport in the forward direction while significantly restricting it in the reverse direction. This barrier arises from the misalignment of the metal and the semiconductor band edges upon contact formation, leading to charge depletion in the semiconductor near the interface. Unlike ohmic contacts, which aim for barrier-free conduction, Schottky barriers are intentionally rectifying and serve as the primary alternative in device structures requiring diode-like behavior. The formation of the is described by the Schottky-Mott theory, which posits that the barrier height for an n-type is determined by the difference between the metal ϕm\phi_m and the electron χs\chi_s, expressed as ϕBn=ϕmχs\phi_{Bn} = \phi_m - \chi_s. This ideal model assumes abrupt interfaces without significant charge trapping or effects, though real systems often deviate due to interface states. For p-type , the barrier height is ϕBp=EgϕBn\phi_{Bp} = E_g - \phi_{Bn}, where EgE_g is the bandgap. The theory provides a foundational framework for predicting barrier formation based on material properties. The current-voltage (I-V) characteristics of Schottky barrier contacts display strong rectification, with forward bias current dominated by thermionic emission over the barrier, following the relation I=Is[exp(qVnkT)1]I = I_s \left[ \exp\left(\frac{qV}{n k T}\right) - 1 \right], where IsI_s is the reverse saturation current, qq is the elementary charge, VV is the applied voltage, nn is the ideality factor (ideally 1, but often >1 due to inhomogeneities), kk is Boltzmann's constant, and TT is temperature. In reverse bias, the current remains low, approaching IsI_s, which is exponentially sensitive to ϕB\phi_B. This exponential dependence in forward bias enables rapid switching compared to p-n junctions. In the equilibrium energy of an n-type Schottky contact, the metal-semiconductor interface exhibits upward in the , creating a with a built-in potential Vbi=ϕBEcEfqV_{bi} = \phi_B - \frac{E_c - E_f}{q}, where EcE_c is the conduction band edge and EfE_f is the in the bulk . This VbiV_{bi} represents the electrostatic potential drop across the , aligning the s across . Applied modulates this , reducing the effective barrier in forward and increasing it in reverse. Common material systems for Schottky barriers include aluminum on n-type , which forms a barrier height of approximately 0.7 eV, as determined from and photoemission measurements. This value aligns closely with the Schottky-Mott using ϕm4.1\phi_m \approx 4.1 eV for Al and χs4.05\chi_s \approx 4.05 eV for Si, though slight deviations occur to interface effects. Such contacts are widely studied for their role in rectifying applications.

Criteria for Ohmic vs. Rectifying Behavior

The behavior of a metal- junction as ohmic or rectifying is primarily determined by the alignment of energy levels at the interface and the resulting potential barrier for carrier transport. In ideal Schottky-Mott theory, an ohmic contact forms when the metal (φ_m) is less than the (φ_s) for n-type materials (φ_m < φ_s), leading to accumulation and negligible barrier, while the opposite (φ_m > φ_s) results in depletion and a rectifying barrier; for p-type , the condition reverses to φ_m > φ_s for ohmic behavior. However, real interfaces deviate due to interface states and doping effects, often requiring heavy doping to achieve ohmic characteristics despite non-ideal alignment. A key criterion is the doping level of the near the interface. High degenerate doping, typically N_d > 10^{19} cm^{-3} for n-type, thins the to a few nanometers, enabling field emission tunneling and ohmic conduction by effectively reducing the barrier width. In contrast, moderate doping levels (around 10^{16}-10^{18} cm^{-3}) maintain a wider , promoting over a significant barrier and yielding rectifying behavior. This doping threshold ensures the does not limit device performance, with ohmic contacts exhibiting linear current-voltage characteristics indicative of low impedance. Barrier height modulation further distinguishes ohmic from rectifying contacts. For ohmic operation, the effective height (φ_B) must approach zero, achieved through heavy doping that narrows the barrier or via interface states that redistribute charge to lower the effective height. Rectifying contacts, however, feature a substantial φ_B (often 0.5-1 eV), impeding one carrier direction. Fermi level pinning by interface states complicates work function-based predictions but facilitates ohmic contacts in practice. These states, arising from dangling bonds or defects at the interface, pin the (E_f) near the semiconductor mid-gap, rendering the barrier height largely independent of the metal choice and enabling tunneling-dominated transport in heavily doped regions despite pinning. Without sufficient doping to support tunneling, pinning leads to consistent rectifying barriers across metals. Practically, a contact is deemed ohmic if its specific (ρ_c) is below 10^{-5} Ω·cm², ensuring negligible across the interface for most high-speed and power applications. Higher ρ_c values indicate rectifying or poor ohmic performance, often requiring optimization of the above factors.

Physics of Formation

Metal-Semiconductor Interface

The metal- interface forms the foundational boundary in ohmic contacts, where the atomic arrangement and electronic properties dictate the potential barrier for flow. At this junction, the semiconductor surface often undergoes reconstruction, in which surface atoms rearrange to minimize energy by reforming bonds interrupted at the . This reconstruction influences the initial bonding with the overlying metal layer, creating a complex interfacial region that deviates from simple bulk terminations. For instance, in compound semiconductors like GaAs, As-rich surfaces promote the formation of a metallic interlayer through segregation and reaction, which effectively reduces the height and facilitates ohmic behavior. Electronically, the interface is characterized by localized states arising from dangling bonds, defects, or incomplete passivation, with a typical of interface states Dit10121013cm2eV1D_{it} \sim 10^{12}-10^{13} \, \mathrm{cm}^{-2} \mathrm{eV}^{-1}. These states, often termed interface traps, lead to pinning, where the becomes immobilized near a charge neutrality level within the bandgap, largely independent of the metal's . This pinning arises because the high accommodates charge transfer, stabilizing the interface potential and limiting barrier height modulation. In ohmic contacts, particularly to n-type s, the resulting forms an accumulation layer near the interface when the is heavily doped, concentrating majority carriers to thin the and promote low-resistance conduction. The Schottky-Mott model, which predicts barrier height ϕB\phi_B solely from differences in metal and work functions, fails to describe real interfaces due to chemical reactions between metal and atoms, as well as the formation of layers from charge redistribution. These effects introduce additional electronic states and alter the electrostatic potential, causing observed barrier heights to deviate significantly from predictions—often by 0.2-0.5 eV in covalent . For ohmic contacts, such deviations are leveraged through interface engineering to achieve near-zero effective barriers, as briefly referenced in the context of contacts.

Conduction Mechanisms

In ohmic contacts, low-resistance current flow is facilitated by several primary conduction mechanisms that enable carriers to traverse the potential barrier at the metal- interface with minimal hindrance. These mechanisms depend on the semiconductor doping level, barrier height, and temperature, with the goal of achieving a specific contact resistivity ρc\rho_c on the order of 10610^{-6} Ω\Omega-cm² or lower for practical applications. The interface band , which determines the barrier parameters such as height ϕB\phi_B and width dd, sets the stage for these processes. Tunneling, particularly field emission, dominates in degenerate semiconductors where heavy doping narrows the to thicknesses below 10 nm, allowing quantum mechanical tunneling of carriers through the barrier. The transmission probability TT for this process is approximated by the WKB expression Texp(2κd)T \approx \exp(-2\kappa d), where κ=2m(ϕBE)/2\kappa = \sqrt{2m(\phi_B - E)/\hbar^2}
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