The Time of Diffusion and Infinite Conductivity of High-Tc Superconductors

The wave-particle duality in the Weyl-Dirac theory

“…Note the periodicity of the probability field (minima and maxima). Consequently, close to the critical temperature, 'matter' self-structures as a 2D lattice of vortices (the quasi-particles are associated with objects of vortex-type structured in a vortex lattice; for details see [11,12]). Since minima and maxima of the probability field overlap with zeros (2m + 1)K + 2inK and poles 2mK + i(2n + 1)K , m, n = 0, ±1, ±2, .…”

“…will define the potential of the vortex lattice (for details see [12]) with h being the reduced Planck constant.…”

“…The dynamics of such a lattice is given in figure 2 for k 2 = 0.1, 0.5, 0.9 making = constant in relation (12). Note that in the limiting cases k → 0 and k → 1 the 'vortex streets' are generated along the Ox and Oy directions, respectively.…”

“…Note that in the limiting cases k → 0 and k → 1 the 'vortex streets' are generated along the Ox and Oy directions, respectively. Only in these limits does the lattice gain superconducting properties (for details see [12]).…”

“…We present in figure 7 fermionizing with a 1 3 filling factor: to each electron we may attach two vortices with 'charge' 0 and − 0 ( 0 = h/2e). These vortices are obtained from (12) as level curves = constant for k 2 = 0.1, 0.5, 0.9 on the scale of two electrons.…”