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Posted On: 03/04/2017 11:25:53 PM
Post# of 22465
Vortex Dynamics in Type II Superconductors
Dachuan Lu
(Submitted on 12 Feb 2017)
Time dependent Ginzburg-Landau equation is solved for type II superconductors numerically, and the dynamics of entering vortices, geometric defects and pinning effects have been investigated. A superconducting wire with ratchet defects is designed to pump the vortices move in a specific direction and enhance the supercurrent when applying the periodical magnetic field. Some properties of this wire have been investigated numerically and analytically
https://arxiv.org/abs/1702.08842
V. SUMMARY
In this study, time-dependent Ginzburg-Landau equation is solved in different geometrical regions numerically by finite element method. The distribution of the order parameter is vividly depicted and the magnetic vortices can be found. Some derived quantities, such as magnetization and current density, are also calculated. By modifying the parameters in the TDGL equation, the pinning effect is investigated. In the last part, we investigate a special superconducting wire with ratchet-like defects, in which the unidirectional motion of the vortices can enhance the supercurrent. However, some limitations in this study need to be fixed in the future. The TDGL equations(Eq. 1, Eq. 2) used in this study are only suitable for the s-wave superconductors such as niobium , but most of the type II superconductors, such as BSCCO and YBCO, are d-wave or even more complex pairing symmetry , thus, Eq. 1, Eq. 2 are no longer suitable. Some researchers have generalized the Ginzburg-Landau equation for d-wave and p-wave superconductors [14][15], these can be adapted for our future study
Dachuan Lu
(Submitted on 12 Feb 2017)
Time dependent Ginzburg-Landau equation is solved for type II superconductors numerically, and the dynamics of entering vortices, geometric defects and pinning effects have been investigated. A superconducting wire with ratchet defects is designed to pump the vortices move in a specific direction and enhance the supercurrent when applying the periodical magnetic field. Some properties of this wire have been investigated numerically and analytically
https://arxiv.org/abs/1702.08842
V. SUMMARY
In this study, time-dependent Ginzburg-Landau equation is solved in different geometrical regions numerically by finite element method. The distribution of the order parameter is vividly depicted and the magnetic vortices can be found. Some derived quantities, such as magnetization and current density, are also calculated. By modifying the parameters in the TDGL equation, the pinning effect is investigated. In the last part, we investigate a special superconducting wire with ratchet-like defects, in which the unidirectional motion of the vortices can enhance the supercurrent. However, some limitations in this study need to be fixed in the future. The TDGL equations(Eq. 1, Eq. 2) used in this study are only suitable for the s-wave superconductors such as niobium , but most of the type II superconductors, such as BSCCO and YBCO, are d-wave or even more complex pairing symmetry , thus, Eq. 1, Eq. 2 are no longer suitable. Some researchers have generalized the Ginzburg-Landau equation for d-wave and p-wave superconductors [14][15], these can be adapted for our future study
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