Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations
We study the Hall effect in square, planar type-II superconductors using numerical simulations of time dependent Ginzburg-Landau (TDGL) equations. The Hall field in some type-II superconductors displays sign-change behavior at some magnetic fields due to the induced field of vortex flow when its con...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033144 |
| _version_ | 1797210962339561472 |
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| author | Vineet Punyamoorty Aditya Malusare Shamashis Sengupta Sumiran Pujari Kasturi Saha |
| author_facet | Vineet Punyamoorty Aditya Malusare Shamashis Sengupta Sumiran Pujari Kasturi Saha |
| author_sort | Vineet Punyamoorty |
| collection | DOAJ |
| description | We study the Hall effect in square, planar type-II superconductors using numerical simulations of time dependent Ginzburg-Landau (TDGL) equations. The Hall field in some type-II superconductors displays sign-change behavior at some magnetic fields due to the induced field of vortex flow when its contribution is strong enough to reverse the field direction. In this paper, we use modified TDGL equations which couple an externally applied current, and also incorporate normal-state and flux-flow Hall effects. We obtain the profile of Hall angle as a function of applied magnetic field for six different sizes (l×l) of the superconductor: l/ξ∈{3,5,15,20,100,200}. We obtain vastly different profiles for different size regimes, proving that size is an important parameter that determines Hall behavior. We find that electric field dynamics provide an insight into several anomalous features including a sign change of the Hall angle, and leads us to the precise transient behavior of the order parameter responsible for them. |
| first_indexed | 2024-04-24T10:18:55Z |
| format | Article |
| id | doaj.art-dff6ebc171674a7f91841c1332f9b01c |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:55Z |
| publishDate | 2021-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-dff6ebc171674a7f91841c1332f9b01c2024-04-12T17:12:48ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303314410.1103/PhysRevResearch.3.033144Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equationsVineet PunyamoortyAditya MalusareShamashis SenguptaSumiran PujariKasturi SahaWe study the Hall effect in square, planar type-II superconductors using numerical simulations of time dependent Ginzburg-Landau (TDGL) equations. The Hall field in some type-II superconductors displays sign-change behavior at some magnetic fields due to the induced field of vortex flow when its contribution is strong enough to reverse the field direction. In this paper, we use modified TDGL equations which couple an externally applied current, and also incorporate normal-state and flux-flow Hall effects. We obtain the profile of Hall angle as a function of applied magnetic field for six different sizes (l×l) of the superconductor: l/ξ∈{3,5,15,20,100,200}. We obtain vastly different profiles for different size regimes, proving that size is an important parameter that determines Hall behavior. We find that electric field dynamics provide an insight into several anomalous features including a sign change of the Hall angle, and leads us to the precise transient behavior of the order parameter responsible for them.http://doi.org/10.1103/PhysRevResearch.3.033144 |
| spellingShingle | Vineet Punyamoorty Aditya Malusare Shamashis Sengupta Sumiran Pujari Kasturi Saha Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations Physical Review Research |
| title | Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations |
| title_full | Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations |
| title_fullStr | Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations |
| title_full_unstemmed | Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations |
| title_short | Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations |
| title_sort | size dependence in flux flow hall effect using time dependent ginzburg landau equations |
| url | http://doi.org/10.1103/PhysRevResearch.3.033144 |
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