Induced phase transitions and spontaneous symmetry breaking based on the renormalized Ginzburg-Landau theory
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909855641501696 |
|---|---|
| author | Claire, Feulefack Ornela Carlos, Tsague Fotio Magloire, Keumo Tsiaze Roger Tchouobiap, Serges Eric Mkam Hounkonnou, Mahouton Norbert |
| author_facet | Claire, Feulefack Ornela Carlos, Tsague Fotio Magloire, Keumo Tsiaze Roger Tchouobiap, Serges Eric Mkam Hounkonnou, Mahouton Norbert |
| contents | In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal fluctuations. By addressing the residual effects after a renormalization process, a small number of macroscopic degrees of freedom can effectively replace the infinite number of microscopic degrees of freedom, emphasizing the significant role of dimensionality and the intrinsic characteristics of the system in understanding and analyzing transitions. We highlight several non-universal characteristics of continuous phase transitions near the transition temperature, including the non-monotonic relationship between the critical temperature and dimensionality, as well as the enhancement or disappearance of the specific heat jump in complex superconductors. While the resulting expressions for thermodynamic quantities are complex for one-dimensional systems, obeying Mermin-Wagner's theorem, they are considerably simplified for two-dimensional and three-dimensional systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07534 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Induced phase transitions and spontaneous symmetry breaking based on the renormalized Ginzburg-Landau theory Claire, Feulefack Ornela Carlos, Tsague Fotio Magloire, Keumo Tsiaze Roger Tchouobiap, Serges Eric Mkam Hounkonnou, Mahouton Norbert Superconductivity 82B26 (Primary), 82D55 (Secondary) J.2.9 In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal fluctuations. By addressing the residual effects after a renormalization process, a small number of macroscopic degrees of freedom can effectively replace the infinite number of microscopic degrees of freedom, emphasizing the significant role of dimensionality and the intrinsic characteristics of the system in understanding and analyzing transitions. We highlight several non-universal characteristics of continuous phase transitions near the transition temperature, including the non-monotonic relationship between the critical temperature and dimensionality, as well as the enhancement or disappearance of the specific heat jump in complex superconductors. While the resulting expressions for thermodynamic quantities are complex for one-dimensional systems, obeying Mermin-Wagner's theorem, they are considerably simplified for two-dimensional and three-dimensional systems. |
| title | Induced phase transitions and spontaneous symmetry breaking based on the renormalized Ginzburg-Landau theory |
| topic | Superconductivity 82B26 (Primary), 82D55 (Secondary) J.2.9 |
| url | https://arxiv.org/abs/2507.07534 |