{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/89076"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/89076","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Establishing framework of quantum Monte Carlo calculation on II-V semiconductor","abstract":"Analyzing electronic properties of semiconductors in high accuracy is necessary for optoelectronic device application. First principles calculations are the best solution for evaluating the electronic properties of material, due to accurate description of quantum mechanical behavior of electrons. However, many body interaction of electrons restrict the size of calculations to few number of elec- trons. Density functional theory (DFT) is one of the solution, which circumvents the many body interaction problem by approximating it to e↵ective interaction between electron and averaged electron clouds. While it reduces calculation cost radically, mean-field approximation of DFT can yield inaccurate description of electronic properties especially for complex, wide band gap materials. Therefore, we introduces quantum Monte Carlo (QMC) method, which is an exciting technique with benchmark quality results. Instead of the mean- field interaction, QMC use stochastic approaches to solve the real Schr ̈odinger equation, which includes the many body interaction of electrons inherently. While QMC was hindered to be used due to large computational cost, current petascale computing machine and improved numerical algorithms enhance to use QMC in material simulation field. In order to use QMC method to material simulation, it is necessary to es- tablish proper frameworks for not only calculating material properties, but also analyzing error sources from the calculations. Here, we carried out system- atic assessment of QMC method for describing electronic properties of II–VI semiconductor ZnO and ZnSe. We categorized controllable, and uncontrollable errors of QMC calculations, and method to mitigate controllable errors such as finite size e↵ects and time step errors. Based on the established framework, we expect to utilize QMC to further complicated problems such as defect properties of the semiconductor.","abstract_html":"Analyzing electronic properties of semiconductors in high accuracy is necessary for optoelectronic device application. First principles calculations are the best solution for evaluating the electronic properties of material, due to accurate description of quantum mechanical behavior of electrons. However, many body interaction of electrons restrict the size of calculations to few number of elec- trons. Density functional theory (DFT) is one of the solution, which circumvents the many body interaction problem by approximating it to e↵ective interaction between electron and averaged electron clouds. While it reduces calculation cost radically, mean-field approximation of DFT can yield inaccurate description of electronic properties especially for complex, wide band gap materials. Therefore, we introduces quantum Monte Carlo (QMC) method, which is an exciting technique with benchmark quality results. Instead of the mean- field interaction, QMC use stochastic approaches to solve the real Schr ̈odinger equation, which includes the many body interaction of electrons inherently. While QMC was hindered to be used due to large computational cost, current petascale computing machine and improved numerical algorithms enhance to use QMC in material simulation field. In order to use QMC method to material simulation, it is necessary to es- tablish proper frameworks for not only calculating material properties, but also analyzing error sources from the calculations. Here, we carried out system- atic assessment of QMC method for describing electronic properties of II–VI semiconductor ZnO and ZnSe. We categorized controllable, and uncontrollable errors of QMC calculations, and method to mitigate controllable errors such as finite size e↵ects and time step errors. Based on the established framework, we expect to utilize QMC to further complicated problems such as defect properties of the semiconductor.","abstract_has_math":false,"creators":["Yu, Jaehyung"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Ertekin, Elif"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-03-02T19:44:57Z","date_published":"2016-03-02T19:44:57Z","updated_at":"2026-07-22T22:26:32Z","subjects":["First principles","Density functional theory (DFT)","Quantam Monte Carlo (QMC)","Zinc Oxide (ZnO)","Zinc Selenide (ZnSe)"],"languages":["en"],"rights":["2015 by Jaehyung Yu. All rights reserved."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/89076","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Ertekin, Elif"]},{"key":"dc:creator","label":"Author","values":["Yu, Jaehyung"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2016-03-02T19:44:57Z","2015-12-11","2015-12"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["First principles","Density functional theory (DFT)","Quantam Monte Carlo (QMC)","Zinc Oxide (ZnO)","Zinc Selenide (ZnSe)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["2015 by Jaehyung Yu. All rights reserved."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/89076"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Analyzing electronic properties of semiconductors in high accuracy is necessary for optoelectronic device application. First principles calculations are the best solution for evaluating the electronic properties of material, due to accurate description of quantum mechanical behavior of electrons. However, many body interaction of electrons restrict the size of calculations to few number of elec- trons. Density functional theory (DFT) is one of the solution, which circumvents the many body interaction problem by approximating it to e↵ective interaction between electron and averaged electron clouds. While it reduces calculation cost radically, mean-field approximation of DFT can yield inaccurate description of electronic properties especially for complex, wide band gap materials. Therefore, we introduces quantum Monte Carlo (QMC) method, which is an exciting technique with benchmark quality results. Instead of the mean- field interaction, QMC use stochastic approaches to solve the real Schr ̈odinger equation, which includes the many body interaction of electrons inherently. While QMC was hindered to be used due to large computational cost, current petascale computing machine and improved numerical algorithms enhance to use QMC in material simulation field. In order to use QMC method to material simulation, it is necessary to es- tablish proper frameworks for not only calculating material properties, but also analyzing error sources from the calculations. Here, we carried out system- atic assessment of QMC method for describing electronic properties of II–VI semiconductor ZnO and ZnSe. We categorized controllable, and uncontrollable errors of QMC calculations, and method to mitigate controllable errors such as finite size e↵ects and time step errors. Based on the established framework, we expect to utilize QMC to further complicated problems such as defect properties of the semiconductor.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2016-03-02 without embargo terms","The student, Jaehyung Yu, accepted the attached license on 2015-12-09 at 15:58.","The student, Jaehyung Yu, submitted this Thesis for approval on 2015-12-09 at 16:10.","This Thesis was approved for publication on 2015-12-11 at 07:53.","DSpace SAF Submission Ingestion Package generated from Vireo submission #8975 on 2016-03-02 at 12:52:32","Made available in DSpace on 2016-03-02T19:44:57Z (GMT). No. of bitstreams: 2 YU-THESIS-2015.pdf: 2022703 bytes, checksum: 959eada07ef0cae94cf446b35658de8d (MD5) LICENSE.txt: 4208 bytes, checksum: ca149130239a6723ed6dc336a1f45e86 (MD5) Previous issue date: 2015-12-11"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Establishing framework of quantum Monte Carlo calculation on II-V semiconductor"]}]}],"canonical_facts":{"dc:contributor":["Ertekin, Elif"],"dc:creator":["Yu, Jaehyung"],"dc:date":["2016-03-02T19:44:57Z","2015-12-11","2015-12"],"dc:description":["Analyzing electronic properties of semiconductors in high accuracy is necessary for optoelectronic device application. First principles calculations are the best solution for evaluating the electronic properties of material, due to accurate description of quantum mechanical behavior of electrons. However, many body interaction of electrons restrict the size of calculations to few number of elec- trons. Density functional theory (DFT) is one of the solution, which circumvents the many body interaction problem by approximating it to e↵ective interaction between electron and averaged electron clouds. While it reduces calculation cost radically, mean-field approximation of DFT can yield inaccurate description of electronic properties especially for complex, wide band gap materials. Therefore, we introduces quantum Monte Carlo (QMC) method, which is an exciting technique with benchmark quality results. Instead of the mean- field interaction, QMC use stochastic approaches to solve the real Schr ̈odinger equation, which includes the many body interaction of electrons inherently. While QMC was hindered to be used due to large computational cost, current petascale computing machine and improved numerical algorithms enhance to use QMC in material simulation field. In order to use QMC method to material simulation, it is necessary to es- tablish proper frameworks for not only calculating material properties, but also analyzing error sources from the calculations. Here, we carried out system- atic assessment of QMC method for describing electronic properties of II–VI semiconductor ZnO and ZnSe. We categorized controllable, and uncontrollable errors of QMC calculations, and method to mitigate controllable errors such as finite size e↵ects and time step errors. Based on the established framework, we expect to utilize QMC to further complicated problems such as defect properties of the semiconductor.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2016-03-02 without embargo terms","The student, Jaehyung Yu, accepted the attached license on 2015-12-09 at 15:58.","The student, Jaehyung Yu, submitted this Thesis for approval on 2015-12-09 at 16:10.","This Thesis was approved for publication on 2015-12-11 at 07:53.","DSpace SAF Submission Ingestion Package generated from Vireo submission #8975 on 2016-03-02 at 12:52:32","Made available in DSpace on 2016-03-02T19:44:57Z (GMT). No. of bitstreams: 2 YU-THESIS-2015.pdf: 2022703 bytes, checksum: 959eada07ef0cae94cf446b35658de8d (MD5) LICENSE.txt: 4208 bytes, checksum: ca149130239a6723ed6dc336a1f45e86 (MD5) Previous issue date: 2015-12-11"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/89076"],"dc:language":["en"],"dc:rights":["2015 by Jaehyung Yu. All rights reserved."],"dc:subject":["First principles","Density functional theory (DFT)","Quantam Monte Carlo (QMC)","Zinc Oxide (ZnO)","Zinc Selenide (ZnSe)"],"dc:title":["Establishing framework of quantum Monte Carlo calculation on II-V semiconductor"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:32Z"}