Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators
In this study, we explore the localization and transport behaviors of a one-dimensional system using a hybrid model that combines the Power-Law Random Banded Matrix (PRBM) model and the Random Dimer (RD) model. The primary objective of this research is to examine phase transitions and the influence...
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Alzahra University
2025-03-01
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| Series: | فیزیک کاربردی ایران |
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| Online Access: | https://jap.alzahra.ac.ir/article_8373_1e24e7b501f380ceb6a708f21d5c238e.pdf |
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| author | Mohammad Pouranvari |
| author_facet | Mohammad Pouranvari |
| author_sort | Mohammad Pouranvari |
| collection | DOAJ |
| description | In this study, we explore the localization and transport behaviors of a one-dimensional system using a hybrid model that combines the Power-Law Random Banded Matrix (PRBM) model and the Random Dimer (RD) model. The primary objective of this research is to examine phase transitions and the influence of system parameters on quantum states. To achieve a precise analysis of these transitions, we utilize quantities such as the participation ratio and the energy level spacing ratio, each providing valuable insights into the system's dynamics. The results indicate that by varying parameters α and , the transition from extended to localized states can be effectively controlled. Specifically, α emerges as a critical factor in determining phase transitions, playing a key role in inducing phase shifts. This hybrid model, with its capacity for accurate simulation, enables a comprehensive examination of quantum behaviors in complex systems and paves the way for future studies on the effects of disorder and random variations in quantum phase transitions. This research establishes a robust foundation for deeper understanding of phase transition mechanisms in disordered systems. |
| format | Article |
| id | doaj-art-9c5be88fa0cb45b6b585bb894a293bdb |
| institution | DOAJ |
| issn | 2783-1043 2783-1051 |
| language | fas |
| publishDate | 2025-03-01 |
| publisher | Alzahra University |
| record_format | Article |
| series | فیزیک کاربردی ایران |
| spelling | doaj-art-9c5be88fa0cb45b6b585bb894a293bdb2025-08-20T03:17:55ZfasAlzahra Universityفیزیک کاربردی ایران2783-10432783-10512025-03-01151516410.22051/ijap.2025.48588.14338373Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum IndicatorsMohammad Pouranvari0Assistant Professor, Department of Solid-State Physics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran.In this study, we explore the localization and transport behaviors of a one-dimensional system using a hybrid model that combines the Power-Law Random Banded Matrix (PRBM) model and the Random Dimer (RD) model. The primary objective of this research is to examine phase transitions and the influence of system parameters on quantum states. To achieve a precise analysis of these transitions, we utilize quantities such as the participation ratio and the energy level spacing ratio, each providing valuable insights into the system's dynamics. The results indicate that by varying parameters α and , the transition from extended to localized states can be effectively controlled. Specifically, α emerges as a critical factor in determining phase transitions, playing a key role in inducing phase shifts. This hybrid model, with its capacity for accurate simulation, enables a comprehensive examination of quantum behaviors in complex systems and paves the way for future studies on the effects of disorder and random variations in quantum phase transitions. This research establishes a robust foundation for deeper understanding of phase transition mechanisms in disordered systems.https://jap.alzahra.ac.ir/article_8373_1e24e7b501f380ceb6a708f21d5c238e.pdfquantum phase transitioncombined prbm-rd modelparticipation ratioenergy level spacing ratiolocalized and extended systemsdisorder and randomness |
| spellingShingle | Mohammad Pouranvari Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators فیزیک کاربردی ایران quantum phase transition combined prbm-rd model participation ratio energy level spacing ratio localized and extended systems disorder and randomness |
| title | Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators |
| title_full | Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators |
| title_fullStr | Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators |
| title_full_unstemmed | Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators |
| title_short | Research Paper: Phase Transition Analysis in the Combined PRBM- RD Model Using Quantum Indicators |
| title_sort | research paper phase transition analysis in the combined prbm rd model using quantum indicators |
| topic | quantum phase transition combined prbm-rd model participation ratio energy level spacing ratio localized and extended systems disorder and randomness |
| url | https://jap.alzahra.ac.ir/article_8373_1e24e7b501f380ceb6a708f21d5c238e.pdf |
| work_keys_str_mv | AT mohammadpouranvari researchpaperphasetransitionanalysisinthecombinedprbmrdmodelusingquantumindicators |