{"id":15014556,"url":"https://github.com/pfischer1687/ms-thesis","last_synced_at":"2026-03-15T19:38:37.336Z","repository":{"id":156978029,"uuid":"608483052","full_name":"pfischer1687/ms-thesis","owner":"pfischer1687","description":"Computational Physics MS Thesis","archived":false,"fork":false,"pushed_at":"2023-04-27T19:10:11.000Z","size":2999,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-12-26T08:16:04.472Z","etag":null,"topics":["ipython","jupyter-notebook","latex","markov-chain","matplotlib","metropolis-hastings","monte-carlo","numpy","pandas","pdftex","physics","python","scipy","sympy"],"latest_commit_sha":null,"homepage":"https://www.proquest.com/docview/2779955260","language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/pfischer1687.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null}},"created_at":"2023-03-02T05:24:51.000Z","updated_at":"2024-05-26T21:56:30.000Z","dependencies_parsed_at":"2023-09-28T08:37:02.518Z","dependency_job_id":null,"html_url":"https://github.com/pfischer1687/ms-thesis","commit_stats":{"total_commits":4,"total_committers":2,"mean_commits":2.0,"dds":0.25,"last_synced_commit":"9f84c3f48a00ac78a48edb17c242f680b623bc88"},"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/pfischer1687/ms-thesis","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pfischer1687%2Fms-thesis","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pfischer1687%2Fms-thesis/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pfischer1687%2Fms-thesis/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pfischer1687%2Fms-thesis/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/pfischer1687","download_url":"https://codeload.github.com/pfischer1687/ms-thesis/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pfischer1687%2Fms-thesis/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":30550459,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-03-15T15:03:43.933Z","status":"ssl_error","status_checked_at":"2026-03-15T15:03:37.630Z","response_time":61,"last_error":"SSL_read: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["ipython","jupyter-notebook","latex","markov-chain","matplotlib","metropolis-hastings","monte-carlo","numpy","pandas","pdftex","physics","python","scipy","sympy"],"created_at":"2024-09-24T19:45:46.088Z","updated_at":"2026-03-15T19:38:37.306Z","avatar_url":"https://github.com/pfischer1687.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"\u003cp align=\"center\"\u003e\n    \u003ca href=\"https://www.proquest.com/docview/2779955260\"\u003e\n        \u003cimg alt=\"Histogram of radii sampled by Metropolis-Hastings Algorithm\" src=\"./src/images/r-sample-hist.png\" width=300 /\u003e\n    \u003c/a\u003e\n\u003c/p\u003e\n\u003ch1 align=\"center\"\u003e\n  A Systematic Method for Constructing Realistic Potentials in Real Space for Use in Fractional Quantum Hall Monte Carlo Simulations\n\u003c/h1\u003e\n\nA thesis\npresented to the Department of Physics \u0026 Astronomy at\nCalifornia State University, Long Beach\nin partial fulfillment\nof the requirements for the degree\nMaster of Science in Physics. Committee Members:\nMichael R. Peterson, Ph.D. (Chair),\nAndreas Bill, Ph.D., and\nJiyeong Gu, Ph.D. [View publication](https://www.proquest.com/docview/2779955260)\n\n## Abstract\n\nWe develop a method for efficiently generating real space potentials which incorporate\nrealistic effects into Monte Carlo calculations of fractional quantum Hall energy gaps. We\napply the method to the effect Landau level mixing, which creates a discrepancy between\nexperimental measurements and theoretical predictions in graphene. We fit perturbative,\ntwo-body, Landau level mixing-incorporated Haldane pseudopotential corrections to data\nin the lowest Landau level. We develop an effective real space potential V\u003csub\u003eeff\u003c/sub\u003e(r, κ, Q) which\nmaps to corrected pseudopotentials on the Haldane sphere for Landau level mixing parameter\nκ and magnetic monopole strength Q. We use this effective potential to calculate\nLandau level mixing-incorporated energy gaps for fractional quantum Hall states of\ngraphene via the Metropolis-Hastings Monte Carlo algorithm and benchmark the results\nagainst exact diagonalization. We find that the Metropolis Hastings algorithm does not\nsample the more dense electron configurations most affected by Landau level mixing and\nsuggest further study developing an algorithm that will sample them.\n\n## Version\n\n1.0.0\n\n## Author\n\nPaul Fischer\n\n- Email: paulfischerdev@gmail.com\n- Twitter: [@PaulFis43236408](https://twitter.com/PaulFis43236408)\n- GitHub: [pfischer1687](https://github.com/pfischer1687)\n- Website: [https://paulfischer.dev/](https://paulfischer.dev/)\n\n## Dependencies\n\n- `pdfTeX@3.14159265-2.6-1.40.21`\n- `python@3.7.13`\n- `jupyter-notebook@6.0.3`\n- `pandas@1.0.4`\n- `numpy@1.19.0`\n- `IPython@7.14.0`\n- `matplotlib@3.1.2`\n- `scipy@1.4.1`\n- `sympy@1.6`\n\n## Keywords\n\n- Fractional Quantum Hall Effect\n- Markov Chain\n- Monte Carlo\n- Energy Gap\n- Landau Level Mixing\n- Graphene\n- Haldane Pseudopotential\n- Metropolis-Hastings Algorithm\n- Exact Diagonalization\n\n## License\n\nUnlicensed\n\n## Repository\n\ngit: [https://github.com/pfischer1687/ms-thesis](https://github.com/pfischer1687/ms-thesis)\n\n## Bugs\n\n[https://github.com/pfischer1687/ms-thesis](https://github.com/pfischer1687/ms-thesis)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpfischer1687%2Fms-thesis","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fpfischer1687%2Fms-thesis","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpfischer1687%2Fms-thesis/lists"}