Resposta magneto-elétrica de nanofitas supercondutoras granulares: simulações utilizando o formalismo de Ginzburg-Landau dependente do tempo
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Data
2020-03-18
Autores
Presotto, Adriana Guirao
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Universidade Estadual Paulista (Unesp)
Resumo
Correntes de transporte interagem com os vórtices de Abrikosov nos supercondutores do tipo II via força de Lorentz (FL), o que pode resultar em seu movimento. Esse movimento ocorrerá se FL suprimir a força de pinning (FP) [4,6], que mantém os vórtices ancorados, tais como defeitos e orifícios artificiais nas amostras. Nos casos em que FL >> FP, os vórtices se movem livremente e experimentam apenas resistência viscosa devido à sua interação com o condensado supercondutor. Esse estado de movimento é conhecido como flux flow (FF). Assim, no presente trabalho, estudamos a dinâmica dos vórtices em uma fita supercondutora com tamanhos laterais de 10 ξ(0) x 70 ξ(0), com seis grãos espaçados por um supercondutor de menor Tc, i.e., um weak-link (WL). Além disso, em cada grão foram considerados quatro defeitos da mesma natureza que os WL’s, simulando defeitos intrínsecos. Para tal estudos, as equações generalizadas de Ginzburg-Landau dependentes do tempo (GTDGL) foram solucionadas numericamente. Assim, foram considerados três valores diferentes de campos magnéticos externos, i.e., Hap = 0,1 Hc2(0), 0,3 Hc2(0) e 0,5 Hc2(0), e densidade de correntes de transporte de intensidade que variou em passos de 0,005J0. Observou-se que a intensidade de Hap, influencia diretamente nos regimes de movimento, onde para Hap = 0,1 Hc2(0) foi verificado apenas o FF intergranular e uma dinâmica mais duradoura. Já para Hap = 0,3 Hc2(0) e 0,5 Hc2(0) foram observados dois regimes de movimento, o flux flow (FF) inter e o intragranular, porém houve uma destruição mais rápida do supercondutor (SC). Verificou-se, ainda, que o sinal de V(t) é apresentado em forma de “pacotes” de repetições, sendo que há uma maior modulação e dissipação quando inicia-se o regime de FF intragranular. Já as frequências de oscilação são da ordem de GHz, possuindo uma dependência com Hap. Isso é devido ao maior número de vórtices de Abrikosov interagindo no SC, o que causa um aumento no período de oscilação de V(t).
Transport currents interact with Abrikosov vortices in type II superconductors via Lorentz force (FL), which can result in their motion. Such movement will occur if FL suppresses the pinning force (FP) [4,6], which keeps vortices trapped, such as defects and artificial holes in the samples. In cases where FL >> FP, the vortices move freely and experience only a viscous resistance due to their interaction with the superconducting condensate. This state of motion is known as flux flow (FF). Thus, in the present work, we studied the vortex dynamics a superconducting tape with lateral sizes of 10 ξ(0) x 70 ξ(0), with six grains spaced by a smaller Tc superconductor, i.e., a weak-link (WL). In addition, in each grain, four defects of the same nature as the WL's were considered, simulating intrinsic defects. For such studies, the generalized time-dependent Ginzburg-Landau equations (GTDGL) were solved numerically. Thus, three different values for the external magnetic field were considered, i.e., Hap = 0.1 Hc2(0), 0.3 Hc2(0) and 0.5 Hc2(0), and density of transport currents of intensity that varied in steps of 0,005 J0. It was observed that the intensity of Hap directly influences the motion regimes, where for Hap = 0.1 Hc2 (0) it was verified only the intergranular FF and a longer dynamics. For Hap = 0.3 Hc2(0) and 0.5 Hc2(0), two motion regimes were observed, the inter and intragranular FF. However, there was a faster destruction of the superconductor (SC). It was also found that the V(t) response presented a repetition “packages”, with greater modulation and dissipation when the intragranular FF regime starts. The oscillation frequencies are of the order of GHz, having a dependence on Hap. This is due to the greater number of Abrikosov vortices interacting in the superconductor, which causes an increase in the period of oscillation of V(t).
Transport currents interact with Abrikosov vortices in type II superconductors via Lorentz force (FL), which can result in their motion. Such movement will occur if FL suppresses the pinning force (FP) [4,6], which keeps vortices trapped, such as defects and artificial holes in the samples. In cases where FL >> FP, the vortices move freely and experience only a viscous resistance due to their interaction with the superconducting condensate. This state of motion is known as flux flow (FF). Thus, in the present work, we studied the vortex dynamics a superconducting tape with lateral sizes of 10 ξ(0) x 70 ξ(0), with six grains spaced by a smaller Tc superconductor, i.e., a weak-link (WL). In addition, in each grain, four defects of the same nature as the WL's were considered, simulating intrinsic defects. For such studies, the generalized time-dependent Ginzburg-Landau equations (GTDGL) were solved numerically. Thus, three different values for the external magnetic field were considered, i.e., Hap = 0.1 Hc2(0), 0.3 Hc2(0) and 0.5 Hc2(0), and density of transport currents of intensity that varied in steps of 0,005 J0. It was observed that the intensity of Hap directly influences the motion regimes, where for Hap = 0.1 Hc2 (0) it was verified only the intergranular FF and a longer dynamics. For Hap = 0.3 Hc2(0) and 0.5 Hc2(0), two motion regimes were observed, the inter and intragranular FF. However, there was a faster destruction of the superconductor (SC). It was also found that the V(t) response presented a repetition “packages”, with greater modulation and dissipation when the intragranular FF regime starts. The oscillation frequencies are of the order of GHz, having a dependence on Hap. This is due to the greater number of Abrikosov vortices interacting in the superconductor, which causes an increase in the period of oscillation of V(t).
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Palavras-chave
Supercondutores granulares, GTDGL, Flux Flow, Dinâmica de vórtices