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gnu archimedes wikipedia jump to content main menu main menu move to sidebar hide navigation main page contents current events random article about wikipedia contact us contribute help learn to edit community portal recent changes upload file special pages search search appearance donate create account log in personal tools donate create account log in contents move to sidebar hide top 1 introduction 2 boltzmann transport equation 3 monte carlo method 4 screenshots 5 notes 6 references 7 external links toggle the table of contents gnu archimedes 2 languages français 日本語 edit links article talk english read edit view history tools tools move to sidebar hide actions read edit view history general what links here related changes upload file permanent link page information cite this page get shortened url switch to legacy parser print export download as pdf printable version in other projects wikidata item appearance move to sidebar hide from wikipedia the free encyclopedia free software to simulate semiconductors not to be confused with archimedes cad this article has multiple issues please help improve it or discuss these issues on the talk page learn how and when to remove these messages this article includes a list of general references but lacks sufficient corresponding inline citations please help improve this article by introducing more precise citations april 2012 learn how and when to remove this message this article needs more citations please help improve this article by adding citations to reliable sources unsourced material may be challenged and removed find sources gnu archimedes news newspapers books scholar jstor april 2012 learn how and when to remove this message learn how and when to remove this message gnu archimedes original author jean michel sellier developer gnu project stable release 2 0 1 1 30 april 2013 operating system linux unix type tcad license 2007 gpl 3 0 or later a 2004 gpl 2 0 or later b website gnu org software archimedes free and open source software portal archimedes is a tcad package for use by engineers to design and simulate submicron and mesoscopic semiconductor devices archimedes is free software and thus it can be copied modified and redistributed under gpl archimedes uses the ensemble monte carlo method and is able to simulate physics effects and transport for electrons and heavy holes in silicon germanium gaas insb alsb alas alxinxsb alxin 1 x sb alp alsb gap gasb inp and their compounds iii v semiconductor materials along with silicon oxide applied and or self consistent electrostatic and magnetic fields are handled with the poisson and faraday equations the gnu project has announced in may 2012 that the software package aeneas 2 will be substituted by archimedes making this one the gnu package for monte carlo semiconductor devices simulations 3 introduction edit archimedes is the gnu package for semiconductor device simulations that has been released for the first time on 2005 under gpl it has been created by jean michel sellier who is since then the leader of the project and the main developer it is a free software and thus it can be copied modified and redistributed under gpl archimedes belongs to the family of tcad software i e tools utilized to assist the development of technologically relevant products in particular this package assists engineers in designing and simulating submicron and mesoscopic semiconductor devices in a next future timeframe version archimedes will also be able to simulate nanodevices using the wigner monte carlo formalism 4 an experimental release can be found at 5 today archimedes is used in several big companies for simulation and production purposes archimedes is also useful for teaching purposes since everybody can access the sources modify and test them today it is used for teaching courses in several hundreds universities all around the world furthermore a simplified version developed for students is available on nanohub org the ensemble monte carlo method is the method that archimedes uses to simulate and predict the behavior of a devices being the monte carlo very stable and reliable archimedes can be used to know the characteristics of a device even before this last is built the physics and geometry of a device is described simply by a script which makes in this sense archimedes a powerful tool for the simulation of quite general semiconductor devices 6 archimedes is able to simulate physics effects and transport for electrons and heavy holes in silicon germanium gaas insb alsb alas alxinxsb alxin 1 x sb alp alsb gap gasb inp and their compounds iii v semiconductor materials along with silicon oxide the applied and or self consistent electrostatic and magnetic fields by means of poisson and faraday equations it is also able to deal with heterostructures boltzmann transport equation edit the boltzmann transport equation model has been the main tool used in the analysis of transport in semiconductors the bte equation is given by f t 1 ℏ k e k r f q f r ℏ k f f t c o l l i s i o n displaystyle frac partial f partial t frac 1 hbar nabla _ k e k nabla _ r f frac qf r hbar nabla _ k f left frac partial f partial t right _ mathrm collision v 1 ℏ k e k displaystyle v frac 1 hbar nabla _ k e k the distribution function f is a dimensionless function which is used to extract all observables of interest and gives a full depiction of electron distribution in both real and k space further it physically represents the probability of particle occupation of energy k at position r and time t in addition due to being a seven dimensional integro differential equation six dimensions in the phase space and one in time the solution to the bte is cumbersome and can be solved in closed analytical form under very special restrictions numerically solution to the bte is employed using either a deterministic method or a stochastic method the deterministic method solution is based on a grid based numerical method such as the spherical harmonics approach whereas the monte carlo is the stochastic approach used to solve the bte monte carlo method edit the semiclassical monte carlo method is a statistical method used to yield exact solution to the boltzmann transport equation which includes complex band structure and scattering processes this approach is semiclassical for the reason that scattering mechanisms are treated quantum mechanically using the fermi s golden rule whereas the transport between scattering events is treated using the classical particle notion the monte carlo model in essence tracks the particle trajectory at each free flight and chooses a corresponding scattering mechanism stochastically two of the great advantages of semiclassical monte carlo are its capability to provide accurate quantum mechanical treatment of various distinct scattering mechanisms within the scattering terms and the absence of assumption about the form of carrier distribution in energy or k space the semiclassical equation describing the motion of an electron is d r d t 1 ℏ k e k displaystyle frac dr dt frac 1 hbar nabla _ k e k d k d t q f r ℏ displaystyle frac dk dt frac qf r hbar where f is the electric field e k is the energy dispersion relation and k is the momentum wave vector to solve the above equation one needs strong knowledge of the band structure e k the e k relation describes how the particle moves inside the device in addition to depicting useful information necessary for transport such as the density of states dos and the particle velocity a full band e k relation can be obtained using the semi empirical pseudopotential method 7 screenshots edit a simple 2d diode simulation using archimedes the diode is a simple n n n structure the channel length being equal to 0 4 micron the diode has two n regions of 0 3 micron i e the total length is 1 0 micron the density in the doping regions are n 1 e23 m 3 and n 1 e21 m 3 respectively the applied voltage is equal to 2 0 volts a 2d silicon mesfet simulation using archimedes archimedes takes into account all the relevant scattering mechanisms notes edit gpl 3 0 or later since 2007 08 25 0 0 8 gpl 2 0 or later from 2004 10 12 0 0 1 until 2007 01 10 0 0 7 references edit archimedes 2 0 1 has been released 30 april 2013 aeneas gnu org may 2012 sellier jean michel 2012 05 13 aeneas new release mailing list info gnu retrieved 2012 05 13 e wigner on the quantum correction for thermodynamic equilibrium 1932 j m sellier http www nano archimedes com alt linux p9 archimedes 2 0 1 alt1_11 2d quantum monte carlo simulator for semiconductor devices packages altlinux org retrieved 2023 06 20 k hess monte carlo device simulation full band and beyond technology 1991 external links edit official website draft of a complete manual user manual v t e gnu project history gnu manifesto free software foundation europe india latin america history of free software licenses gnu general public license linking exception font exception gnu lesser general public license gnu affero general public license gnu free documentation license gnat modified general public license software gnu variants hurd linux libre glibc bash coreutils findutils build system gcc binutils gdb grub gnustep gimp jami gnu emacs gnu texmacs gnu octave gnu taler gnu r gsl gmp gnu electric gnu archimedes gnunet gnu privacy guard gnuzilla icecat gnu health gnumed gnu lilypond gnu go gnu chess gnash guix more contributors benjamin mako hill bradley m kühn brian fox federico heinz john sullivan richard m stallman other topics gnu linux naming controversy revolution os free software foundation anti windows campaigns defective by design retrieved from https en wikipedia org w index php title gnu_archimedes oldid 1369751859 categories computer aided engineering software gnu project software hidden categories articles with short description short description is different from wikidata articles lacking in text citations from april 2012 all articles lacking in text citations articles needing additional references from april 2012 all articles needing additional references articles with multiple maintenance issues all articles with vague or ambiguous time vague or ambiguous time from october 2023 this page was last edited on 16 august 2026 at 23 01 utc page was rendered with parsoid text is available under the creative commons attribution sharealike 4 0 license additional terms may apply by using this site you agree to the terms of use and privacy policy wikipedia is a registered trademark of the wikimedia foundation inc a non profit organization privacy policy about wikipedia disclaimers contact wikipedia legal safety contacts code of conduct developers statistics cookie statement mobile view search search toggle the table of contents gnu archimedes 2 languages add topic