Resonant-tunneling diode

Source: Wikipedia, the free encyclopedia.

A resonant-tunneling diode (RTD) is a diode with a resonant-tunneling structure in which electrons can tunnel through some resonant states at certain energy levels. The current–voltage characteristic often exhibits negative differential resistance regions.

All types of

quantum mechanical tunneling
. Characteristic to the current–voltage relationship of a tunneling diode is the presence of one or more negative differential resistance regions, which enables many unique applications. Tunneling diodes can be very compact and are also capable of ultra-high-speed operation because the quantum tunneling effect through the very thin layers is a very fast process. One area of active research is directed toward building
terahertz frequencies.[1]

Introduction

bandgap
.

An RTD can be fabricated using many different types of materials (such as III–V, type IV, II–VI semiconductor) and different types of resonant tunneling structures, such as the heavily doped p–n junction in

SiGe
heterojunction bipolar technology.

One type of RTDs is formed as a single

terahertz wave
is emitted, which is why the energy value inside the quantum well is equal to that of the emitter side. As voltage is increased, the terahertz wave dies out because the energy value in the quantum well is outside the emitter side energy.

Another feature seen in RTD structures is the

Nanohub
. The forming of negative resistance will be examined in detail in operation section below.

This structure can be grown by molecular beam

InAlAs
/InGaAs can be used.

The operation of electronic circuits containing RTDs can be described by a

Liénard system of equations, which are a generalization of the Van der Pol oscillator equation.[2][3][4]

Operation

The following process is also illustrated from rightside figure. Depending on the number of barriers and number of confined states inside the well, the process described below could be repeated.

Positive resistance region

For low bias, as the bias increases, the 1st confined state between the potential barriers gets closer to the source Fermi level, so the current it carries increases.

Negative resistance region

As the bias increases further, the 1st confined state becomes lower in energy and gradually goes into the energy range of bandgap, so the current it carries decreases. At this time, the 2nd confined state is still too high above in energy to conduct significant current.

2nd positive resistance region

Similar to the first region, as the 2nd confined state becomes closer and closer to the source Fermi level, it carries more current, causing the total current to increase again.

Intraband resonant tunneling

A double-barrier potential profile with a particle incident from left with energy less than the barrier height.

In

quantum tunneling
through a single barrier, the transmission coefficient, or the tunneling probability, is always less than one (for incoming particle energy less than the potential barrier height). Considering a potential profile which contains two barriers (which are located close to each other), one can calculate the transmission coefficient (as a function of the incoming particle energy) using any of the standard methods.

Tunneling through a double barrier was first solved in the Wentzel-Kramers-Brillouin (WKB) approximation by David Bohm in 1951, who pointed out the resonances in the transmission coefficient occur at certain incident electron energies. It turns out that, for certain energies, the transmission coefficient is equal to one, i.e. the double barrier is totally transparent for particle transmission. This phenomenon is called resonant tunneling.[5] It is interesting that while the transmission coefficient of a potential barrier is always lower than one (and decreases with increasing barrier height and width), two barriers in a row can be completely transparent for certain energies of the incident particle.

Later, in 1964, L. V. Iogansen discussed the possibility of resonant transmission of an electron through double barriers formed in semiconductor crystals.[6] In the early 1970s, Tsu, Esaki, and Chang computed the two terminal current-voltage (I-V) characteristic of a finite superlattice, and predicted that resonances could be observed not only in the transmission coefficient but also in the I-V characteristic.[7] Resonant tunneling also occurs in potential profiles with more than two barriers. Advances in the MBE technique led to observation of negative differential conductance (NDC) at terahertz frequencies, as reported by Sollner et al. in the early 1980s.[8] This triggered a considerable research effort to study tunneling through multi-barrier structures.

The potential profiles required for resonant tunneling can be realized in semiconductor system using heterojunctions which utilize semiconductors of different types to create potential barriers or wells in the conduction band or the valence band.

III-V resonant tunneling diodes

Resonant tunneling diodes are typically realized in III-V compound material systems, where heterojunctions made up of various III-V compound semiconductors are used to create the double or multiple potential barriers in the conduction band or valence band. Reasonably high performance III-V resonant tunneling diodes have been realized. Such devices have not entered mainstream applications yet because the processing of III-V materials is incompatible with Si CMOS technology and the cost is high.

Most of semiconductor optoelectronics use III-V semiconductors and so it is possible to combine III-V RTDs to make OptoElectronic Integrated Circuits (OEICS) that use the negative differential resistance of the RTD to provide electrical gain for optoelectronic devices.[9][10] Recently, the device-to-device variability in an RTDs current–voltage characteristic has been used as a way to uniquely identify electronic devices, in what is known as a quantum confinement physical unclonable function (QC-PUF).[11] Spiking behaviour in RTDs is under investigation for optical neuromorphic computing.[12]

Si/SiGe resonant tunneling diodes

Resonant tunneling diodes can also be realized using the Si/SiGe materials system. Both hole tunneling and electron tunneling have been observed. However, the performance of Si/SiGe resonant tunneling diodes was limited due to the limited conduction band and valence band discontinuities between Si and SiGe alloys. Resonant tunneling of holes through Si/SiGe heterojunctions was attempted first because of the typically relatively larger valence band discontinuity in Si/SiGe heterojunctions than the conduction band discontinuity for (compressively) strained Si1−xGex layers grown on Si substrates. Negative differential resistance was only observed at low temperatures but not at room temperature.[13] Resonant tunneling of electrons through Si/SiGe heterojunctions was obtained later, with a limited peak-to-valley current ratio (PVCR) of 1.2 at room temperature.[14] Subsequent developments have realized Si/SiGe RTDs (electron tunneling) with a PVCR of 2.9 with a PCD of 4.3 kA/cm2 [15] and a PVCR of 2.43 with a PCD of 282 kA/cm2 at room temperature.[16]

Interband resonant tunneling diodes

Resonant interband tunneling diodes (RITDs) combine the structures and behaviors of both intraband resonant tunneling diodes (RTDs) and conventional interband tunneling diodes, in which electronic transitions occur between the energy levels in the quantum wells in the conduction band and that in the valence band.[17][18] Like resonant tunneling diodes, resonant interband tunneling diodes can be realized in both the III-V and Si/SiGe materials systems.

III-V RITDs

In the III-V materials system, InAlAs/InGaAs RITDs with peak-to-valley current ratios (PVCRs) higher than 70 and as high as 144 at room temperature and Sb-based RITDs with room temperature PVCR as high as 20 have been obtained.[19][20][21] The main drawback of III-V RITDs is the use of III-V materials whose processing is incompatible with Si processing and is expensive.

Si/SiGe RITDs

Typical structure of a Si/SiGe resonant interband tunneling diode
Band diagram of a typical Si/SiGe resonant interband tunneling diode calculated by Gregory Snider's 1D Poisson/Schrödinger Solver.

In

SiGe materials system, Si/SiGe resonant interband tunneling diodes have also been developed which have the potential of being integrated into the mainstream Si integrated circuits technology.[22]

Structure

The five key points to the design are: (i) an

tunneling
barrier, (ii) delta-doped injectors, (iii) offset of the delta-doping planes from the heterojunction interfaces, (iv) low temperature
molecular beam epitaxial
growth (LTMBE), and (v) postgrowth
rapid thermal annealing (RTA) for activation of dopants and reduction of density of point defects.[22]

Performance

A minimum PVCR of about 3 is needed for typical circuit applications. Low current density Si/SiGe RITDs are suitable for low-power memory applications, and high current density tunnel diodes are needed for high-speed digital/mixed-signal applications. Si/SiGe RITDs have been engineered to have room temperature PVCRs up to 4.0.

MBE system, and PVCRs of up to 6.0 have been obtained.[24] In terms of peak current density, peak current densities ranging from as low as 20 mA/cm2 and as high as 218 kA/cm2, spanning seven orders of magnitude, have been achieved.[25] A resistive cut-off frequency of 20.2 GHz has been realized on photolithography defined SiGe RITD followed by wet etching for further reducing the diode size, which should be able to improve when even smaller RITDs are fabricated using techniques such as electron beam lithography.[26]

Integration with Si/SiGe CMOS and heterojunction bipolar transistors

Integration of Si/SiGe RITDs with Si CMOS has been demonstrated.[27] Vertical integration of Si/SiGe RITD and SiGe heterojunction bipolar transistors was also demonstrated, realizing a 3-terminal negative differential resistance circuit element with adjustable peak-to-valley current ratio.[28] These results indicate that Si/SiGe RITDs is a promising candidate of being integrated with the Si integrated circuit technology.

Other Applications

Other applications of SiGe RITD have been demonstrated using breadboard circuits, including multi-state logic.[29]

References

  1. ISBN 978-0857096494
    .
  2. S2CID 28195545
    .
  3. doi:10.1049/iet-opt:20080024
    .
  4. S2CID 45107735
    .
  5. ^ David Bohm, Quantum Theory, Prentice-Hall, New York, 1951.
  6. ^ L. V. Iogansen, "The possibility of resonance transmission of electrons in crystals through a system of barriers," Soviet Physics JETP, 1964, 18, pp. 146.
  7. doi:10.1063/1.1654509
    .
  8. doi:10.1063/1.94434
    .
  9. S2CID 35679446
    .
  10. doi:10.1049/el:20080350
    .
  11. PMID 26553435
    .
  12. PMID 34204375
    .
  13. doi:10.1116/1.584811
    .
  14. doi:10.1063/1.106319
    .
  15. S2CID 466339
    .
  16. S2CID 10345069
    .
  17. doi:10.1063/1.100926
    .
  18. ^ Kwok K. Ng (2002). Complete Guide to Semiconductor Devices (2 ed.). Wiley-Interscience.
  19. doi:10.1063/1.103503
    .
  20. S2CID 34825166
    .
  21. doi:10.1063/1.101715
    .
  22. ^
    doi:10.1063/1.122419
    .
  23. S2CID 98806257
    .
  24. doi:10.1016/S0040-6090(00)01491-7
    .
  25. S2CID 13895250
    .
  26. S2CID 17627892
    .
  27. ^ S. Sudirgo, D.J. Pawlik, S.K. Kurinec, P.E. Thompson, J.W. Daulton, S.Y. Park, R. Yu, P.R. Berger, and S.L. Rommel, NMOS/SiGe Resonant Interband Tunneling Diode Static Random Access Memory, 64th Device Research Conference Conference Digest, page 265, June 26–28, 2006, The Pennsylvania State University, University Park, PA.
  28. doi:10.1063/1.1690109
    .
  29. S2CID 30227
    .

External links
Retrieved from "https://en.wikipedia.org/w/index.php?title=Resonant-tunneling_diode&oldid=1187817331"