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Electrodynamics of the Josephson vortex lattice in high-temperature superconductors

机译：高温超导体中约瑟夫森涡旋晶格的电动力学

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We studied the response of the Josephson vortex lattice in layered superconductors to the high-frequency c-axis electric field. We found a simple relation connecting the dynamic dielectric constant with the perturbation of the superconducting phase, induced by oscillating electric field. Numerically solving equations for the oscillating phases, we computed the frequency dependences of the loss function at different magnetic fields, including regions of both dilute and dense Josephson vortex lattices. The overall behavior is mainly determined by the c-axis and in-plane dissipation parameters, which are inversely proportional to the anisotropy. The cases of weak and strong dissipations are realized in Bi_2CaCu_2O_x, and underdoped YBa_2Cu_3O_x; respectively. The main feature of the response is the Josephson-plasma-resonance peak. In the weak-dissipation case, additional satellites appear in the dilute regime in the higher-frequency region due to the excitation of the plasma modes with the wave vectors set by the lattice structure. In the dense-lattice limit, the plasma peak moves to a higher frequency, and its intensity rapidly decreases, in agreement with experiment and analytical theory. The behavior of the loss function at low frequencies is well described by the phenomenological theory of vortex oscillations. In the case of very strong in-plane dissipation, an additional peak in the loss function appears below the plasma frequency. Such peak has been observed experimentally in underdoped YBa_2Cu_3O_x. It is caused by the frequency dependence of the in-plane contribution to losses rather than a definite mode of phase oscillations.
机译：我们研究了分层超导体中约瑟夫森涡旋晶格对高频c轴电场的响应。我们发现了一个简单的关系，该关系将动态介电常数与由振荡电场引起的超导相的扰动联系起来。通过数值求解振荡相位方程，我们计算了不同磁场（包括稀疏和密集的约瑟夫森涡流晶格区域）上损失函数的频率依赖性。总体行为主要由c轴和平面内耗散参数确定，这些参数与各向异性成反比。在Bi_2CaCu_2O_x中实现了弱耗散和强耗散的情况，并且YBa_2Cu_3O_x掺杂不足。分别。响应的主要特征是约瑟夫森等离子体共振峰。在弱耗散的情况下，由于以晶格结构设置的波矢量激发了等离子体模式，因此在高频区域中的稀疏状态中会出现其他卫星。与实验和分析理论相一致，在致密晶格极限下，等离子体峰移至更高的频率，其强度迅速降低。涡流振荡的现象学理论很好地描述了低频处的损失函数的行为。在极强的平面内耗散的情况下，损耗函数的另一个峰值出现在等离子体频率以下。在掺杂不足的YBa_2Cu_3O_x中已通过实验观察到该峰。它是由平面内损耗的频率依赖性引起的，而不是由相位振荡的确定模式引起的。

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