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rrent 2nd positive resistance region edit 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 edit 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 edit 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 edit 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 si 1 x ge x 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 cm 2 15 and a pvcr of 2 43 with a pcd of 282 ka cm 2 at room temperature 16 interband resonant tunneling diodes edit 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 edit 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 edit 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 si 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 edit the five key points to the design are i an intrinsic 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 edit 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 23 the same structure was duplicated by another research group using a different 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 cm 2 and as high as 218 ka cm 2 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 edit 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 edit other applications of sige ritd have been demonstrated using breadboard circuits including multi state logic 29 references edit saeedkia d 2013 handbook of terahertz technology for imaging sensing and communications elsevier p 429 isbn 978 0 85709 649 4 slight thomas j romeira bruno wang liquan figueiredo josé m l wasige edward ironside charles n 2008 a liénard oscillator resonant tunnelling diode laser diode hybrid integrated circuit model and experiment pdf ieee journal of quantum electronics 44 12 1158 bibcode 2008ijqe 44 1158s doi 10 1109 jqe 2008 2000924 s2cid 28195545 romeira b slight j m l figueiredo t j wasige l wang e quintana c n ironside j m avedillo m j 2008 synchronisation and chaos in a laser diode driven by a resonant tunnelling diode iet optoelectronics 2 6 211 doi 10 1049 iet opt 20080024 romeira b figueiredo j m l slight t j wang l wasige e ironside c n quintana j m avedillo m j may 4 9 2008 observation of frequency division and chaos behavior in a laser diode driven by a resonant tunneling diode 2008 conference on lasers and electro optics pp 1 2 doi 10 1109 cleo 2008 4551318 isbn 978 1 55752 859 9 s2cid 45107735 david bohm quantum theory prentice hall new york 1951 l v iogansen the possibility of resonance transmission of electrons in crystals through a system of barriers soviet physics jetp 1964 18 pp 146 tsu r esaki l 1973 tunneling in a finite superlattice applied physics letters 22 11 562 bibcode 1973apphl 22 562t doi 10 1063 1 1654509 sollner t c l g goodhue w d tannenwald p e parker c d peck d d 1983 resonant tunneling through quantum wells at frequencies up to 2 5 thz applied physics letters 43 6 588 bibcode 1983apphl 43 588s doi 10 1063 1 94434 slight t j ironside c n 2007 investigation into the integration of a resonant tunnelling diode and an optical communications laser model and experiment pdf ieee journal of quantum electronics 43 7 580 bibcode 2007ijqe 43 580s doi 10 1109 jqe 2007 898847 s2cid 35679446 figueiredo j m l romeira b slight t j wang l wasige e ironside c n 2008 self oscillation and period adding from resonant tunnelling diode laser diode circuit pdf electronics letters 44 14 876 bibcode 2008ell 44 876f doi 10 1049 el 20080350 roberts j bagci i e zawawi m a m sexton j hulbert n noori y j young m p woodhead c s missous m migliorato m a roedig u young r j 2015 11 10 using quantum confinement to uniquely identify devices scientific reports 5 16456 arxiv 1502 06523 bibcode 2015natsr 516456r doi 10 1038 srep16456 pmc 4639737 pmid 26553435 zhang weikang al khalidi abdullah figueiredo josé al taai qusay raghib ali wasige edward hadfield robert h june 2021 analysis of excitability in resonant tunneling diode photodetectors nanomaterials 11 6 1590 doi 10 3390 nano11061590 pmc 8234959 pmid 34204375 gennser ulf kesan v p iyer s s bucelot t j yang e s 1990 resonant tunneling of holes through silicon barriers journal of vacuum science and technology b 8 2 210 bibcode 1990jvstb 8 210g doi 10 1116 1 584811 ismail k meyerson b s wang p j 1991 electron resonant tunneling in si sige double barrier diodes applied physics letters 59 8 973 bibcode 1991apphl 59 973i doi 10 1063 1 106319 p see d j paul b hollander s mantl i v zozoulenko k f berggren 2001 high performance si si 1 x ge x resonant tunneling diodes ieee electron device letters 22 4 182 bibcode 2001iedl 22 182s doi 10 1109 55 915607 s2cid 466339 p see d j paul 2001 the scaled performance of si si 1 x ge x resonant tunneling diodes ieee electron device letters 22 12 582 bibcode 2001iedl 22 582s doi 10 1109 55 974584 s2cid 10345069 sweeny mark xu jingming 1989 resonant interband tunnel diodes applied physics letters 54 6 546 bibcode 1989apphl 54 546s doi 10 1063 1 100926 kwok k ng 2002 complete guide to semiconductor devices 2 ed wiley interscience day d j chung y webb c eckstein j n xu j m sweeny m 1990 double quantum well resonant tunneling diodes applied physics letters 57 12 1260 bibcode 1990apphl 57 1260d doi 10 1063 1 103503 tsai h h su y k lin h h wang r l lee t l 1994 p n double quantum well resonant interband tunneling diode with peak to valley current ratio of 144 at room temperature ieee electron device letters 15 9 357 bibcode 1994iedl 15 357t doi 10 1109 55 311133 s2cid 34825166 söderström j r chow d h mcgill t c 1989 new negative differential resistance device based on resonant interband tunneling pdf applied physics letters 55 11 1094 bibcode 1989apphl 55 1094s doi 10 1063 1 101715 1 2 rommel sean l dillon thomas e dashiell m w feng h kolodzey j berger paul r thompson phillip e hobart karl d lake roger seabaugh alan c klimeck gerhard blanks daniel k 1998 room temperature operation of epitaxially grown si si sub 0 5 ge sub 0 5 si resonant interband tunneling diodes applied physics letters 73 15 2191 bibcode 1998apphl 73 2191r doi 10 1063 1 122419 park s y chung s y berger p r yu r thompson p e 2006 low sidewall damage plasma etching using icp rie with hbr chemistry of si sige resonant interband tunnel diodes electronics letters 42 12 719 bibcode 2006ell 42 719p doi 10 1049 el 20060323 s2cid 98806257 duschl r eberl k 2000 physics and applications of si sige si resonant interband tunneling diodes thin solid films 380 1 2 151 153 bibcode 2000tsf 380 151d doi 10 1016 s0040 6090 00 01491 7 jin n chung s y yu r heyns r m berger p r thompson p e 2006 the effect of spacer thicknesses on si based resonant interband tunneling diode performance and their application to low power tunneling diode sram circuits ieee transactions on electron devices 53 9 2243 bibcode 2006ited 53 2243j doi 10 1109 ted 2006 879678 s2cid 13895250 s y chung r yu n jin s y park p r berger p e thompson 2006 si sige resonant interband tunnel diode with f r0 20 2 ghz and peak current density 218 ka cm 2 for k band mixed signal applications ieee electron device letters 27 5 364 bibcode 2006iedl 27 364c doi 10 1109 led 2006 873379 s2cid 17627892 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 chung sung yong jin niu berger paul r yu ronghua thompson phillip e lake roger rommel sean l kurinec santosh k 2004 three terminal si based negative differential resistance circuit element with adjustable peak to valley current ratios using a monolithic vertical integration applied physics letters 84 14 2688 bibcode 2004apphl 84 2688c doi 10 1063 1 1690109 n jin s y chung r m heyns and p r berger r yu p e thompson s l rommel 2004 tri state logic using vertically integrated si resonant interband tunneling diodes with double ndr ieee electron device letters 25 9 646 bibcode 2004iedl 25 646j doi 10 1109 led 2004 833845 s2cid 30227 external links edit for information on optoelectronic applications of rtds see http userweb elec gla ac uk i ironside rtd rtdopto html resonant tunneling diode simulation tool on nanohub enables the simulation of resonant tunneling diodes under realistic bias conditions for realistically extended devices authority control databases gnd v t e electronic components semiconductor devices...