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首页> 外文期刊>Philosophical magazine, B. Physics of condensed matter, electronic, optical, and magnetic properties >Phase transition into the superconducting mixed state and the de Haas-van Alphen effect
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Phase transition into the superconducting mixed state and the de Haas-van Alphen effect

机译：相转变为超导混合态和de Haas-van Alphen效应

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摘要

The Landau expansion for the free energy of the superconducting mixed state near the upper critical field in powers of the square modulus of the order parameter averaged over an Abrikosov lattice is derived. The analytical calculations have been carried out in the framework of the Gor'kov formalism for a 3-dimensional isotropic BCS model beyond the limits of the quasiclassical approximation, that is, with Landau quantization of the quasiparticle energy levels taken into consideration. The derivation is performed at low temperature for finite but high enough crystal purity. The effect of Pauli paramagnetic terms is taken into account. The quantum oscillations of the critical temperature, the order parameter's amplitude and the magnetization (de Haas-van Alphen effect) in the mixed state are found. The limitation for the validity of a mean field approach due to critical fluctuations (Ginzburg criterion) for the phase transition under consideration is established. [References: 23]
机译：以Abrikosov晶格上平均的阶次参数平方模的幂为单位，导出了上临界场附近的超导混合态自由能的Landau展开。已经在Gor'kov形式主义的框架内对3维各向同性BCS模型进行了分析计算，超出了准经典近似的限制，即考虑了准粒子能级的Landau量化。对于有限但足够高的晶体纯度，在低温下进行推导。考虑了保利顺磁性项的影响。发现了临界温度的量子振荡，阶跃参数的振幅和混合状态下的磁化强度（de Haas-van Alphen效应）。建立了由于考虑的相变的临界波动（Ginzburg标准）而导致的平均场法有效性的限制。 [参考：23]

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