Supercurrents and Flux Quantization


The moving supercondensate, which is made up of \(\pm\) pairons all condensed at a finite momentum \(\mathbf{p}\), generates a supercurrent. Flux quantization is the first quantization effect manifested on a macroscopic scale. The phase of a macro-wavefunction depends on the pairon circulation and the magnetic field, leading to London’s equation. The penetration depth \(\lambda\) based on the pairon flow model is given by \(\lambda = (c/e)(p/4\pi k_{0}n_{0}|v_{F}^{(2)}+v_{F}^{(1)}|)^{1/2}\). The quasi-wavefunction \(\Psi_{\sigma}(\mathbf{r})\) representing the super current can be expressed in terms of the pairon density operator n as \(\Psi_{\sigma}(\mathbf{r})\equiv \left< \mathbf{r}|n|\sigma \right>\),


Closed Path Flux Quantization Physical Vacuum Meissner State Ring Circumference 
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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of PhysicsState University of New YorkBuffaloUSA
  2. 2.National Center for UniversityTokyoJapan
  3. 3.Department of FísicaUniversidad Nacional Autónoma de MéxicoMéxicoMéxico

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