Dynamics and heat diffusion of Abrikosov’s vortex-antivortex pairs during an annihilation process

Abstract

Abstract.The manipulation and control of vortex states in superconducting systems are of great interest in view of possible applications, for which mesoscopic materials are good candidates. In this work, we studied the annihilation dynamics and the dissipative aspects of an Abrikosov's vortex-antivortex pair in a mesoscopic superconducting system with a concentric hole. The generalized time-dependent Ginzburg-Landau equations were numerically solved. The main result is the appearance of a phase slip-like line due to the elongation of the vortex and antivortex cores. Under specific circumstances, thermal dissipation might be associated with a sizeable relaxation of the order parameter, so that the energy released in the annihilation of a vortex-antivortex pair might become detectable in measurements of the magnetization as a function of time.

Study of Energy Dissipation in the Mixed-State YBa2Cu3O7-δ Superconductor with Partially Deoxygenated Structures

“…Due to the different geometry and, therefore, different pinning conditions in both partially deoxygenated structures, the number of moving vortices is also different. Heat generated by moving and annihilating bundles of vortices/antivortices in the CC segment can affect the balance between F L and F p [21,22] and stop the movement of vortices. If so, the energy dissipation due to vortex motion will take place in the AB and BC segments of the structure, which are much longer than the CC segment in sample 2.…”

Скачки Магнитного Потока При Намагничивании Пластины Сверхпроводящего Ниобия При Ориентации Магнитного Поля Нормально И Параллельно Поверхности

“…Скачки магнитного потока при поперечной ориентации магнитного поля появляются при понижении температуры в малых полях сначала во втором и четвертом квадрантах, т. е. областях, связанных с проникновением знака. Вследствие этого во втором квадранте образуется граница между областями с вихрями разных знаков с максимальным градиентом потока и при изменении поля на этой границе происходит диссипация энергии и локальное повышение температуры [25], влияющее на образование скачков потока. В целом картина скачков потока при поперечной ориентации магнитного поля соответствует представлению о развитии неустойчивостей при срыве связки вихрей с центров пиннинга в объеме образца.…”

Released power in a vortex-antivortex pairs annihilation process

“…The first term in the equation 4 represents the dissipation due to the induced electrical field E, and the second one is due to the dissipation related to the relaxation of ψ. The dissipated power energy is given in units of 𝐻 𝑐2 2 (0)/[8πκ 2 tGL] As Wtotal diffuses through the system, we couple the thermal diffusion equation to the Ginzburg-Landau ones [12,16]. We take u = 5,79 and γ = 10 (for more details see Ref.…”

“…Zadorosny et al studied the dynamics of a vortexantivortex pair in several superconducting systems with different areas and with an antidot inserted in the center, they found that in the annihilation process the vortexantivortex pair acquire an elongated format [9]. E. Duarte et al, studied the vortex antivortex annihilation in a mesoscopic superconducting system with a central pinning center, they found a dissipative effect, generating appreciable changes in the order parameter, and the power released in the annihilation of a vortex-antivortex pair is detectable in measurements of the total magnetic moment as a function of time [16]. J. Barba-Ortega et al, investigated the process of annihilation of a vortex-antivortex pair in a superconducting square with a central anti-pinning center.…”