2026-09-20T19:59:58Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/29492 2023-07-10 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Ravaioli, Umberto Ravaioli, Umberto Jain, Kanti Lyding, Joseph W. Aluru, Narayana R. Lee, Wonsok 2012-02-01T00:49:07Z 2012-02-01T00:49:07Z 2014-02-01T11:00:31Z 2012-02-01T00:49:07Z 2011-12 We introduce a particle{particle{particle{mesh (P3M) method modi ed by a simple yet accurate numerical reference force, which solves the ambiguity of the original P3M method by e ectively eliminating double-counting of pair forces inside the short range. The substantial advantages over the original method are con rmed with extensive veri cations. The modi ed P3M method is implemented into an ensemble Monte Carlo (EMC) simulator, MOCA3D, to treat the Coulomb scattering, i.e. carrier-carrier and carrier-impurity scattering. We show that most of the problems in the particle{mesh (PM) based scattering rate approach are solved by the P3M method. The properties of the Coulomb scattering are analyzed by comparison of the proposed and the conventional approaches. One of the important observations is that the introduction of discrete dopants in EMC simulation signi cantly in uences the carrier energy and the device performance. The proposed method can also be applied for the random dopant uctuation (RDF) simulation, in which the accurate treatment of charge granular e ect is required. Furthermore, a 2-D P3M method is developed based on the 3-D approach. The inherent di culty in 2-D simulation, due to the line-charge approximation, can be overcome by a quasi 3-D approach. The application results also show the properties and the shortcomings of the 2-D approach. The validity and the accuracy of the proposed 3-D and 2-D P3M-EMC simulators are veri ed with the low- eld mobility extraction. We believe that the proposed P3M approach both in 3-D and 2-D has improved the applicability of the original P3M method and can be used widely for the calculation of inter-particle forces. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-09-21T16:00:12Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Lee_Wonsok.pdf: 3913066 bytes, checksum: bc9e3ca828e11d79dbf8f87b52298885 (MD5) Made available in DSpace on 2012-02-01T00:49:07Z (GMT). No. of bitstreams: 2 Lee_Wonsok.pdf: 3913066 bytes, checksum: bc9e3ca828e11d79dbf8f87b52298885 (MD5) license.txt: 4058 bytes, checksum: 61552374511e71d00ffa359dc7e98ec0 (MD5) Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2012-02-01T00:50:43Z Item is restricted until 2014-02-01T00:50:07Z Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2014-02-01T11:00:31Z Item was in collections: Graduate Theses and Dissertations at Illinois (ID: 204) Dissertations and Theses - Electrical and Computer Engineering (ID: 446) No. of bitstreams: 2 Lee_Wonsok.pdf: 3913066 bytes, checksum: bc9e3ca828e11d79dbf8f87b52298885 (MD5) license.txt: 4058 bytes, checksum: 61552374511e71d00ffa359dc7e98ec0 (MD5) Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2014-02-01T11:00:31Z http://hdl.handle.net/2142/29492 en Copyright 2011 Wonsok Lee particle-particle-particle-mesh (p3m) Coulomb scattering Coulomb interaction carrier-carrier scattering impurity scattering short-range force Analysis of coulomb interaction using modified particle-particle-particle-mesh method in Monte Carlo simulation Electrical & Computer Eng 1933 Electrical & Computer Engr 1200 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Electr & Computer Eng-UIUC 10KS1200PHD