Retrieving "Anisotropy" from the archives
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Superconductivity
Linked via "anisotropy"
The discovery of cuprate materials (ceramics based on copper-oxygen planes) demonstrated superconductivity at temperatures far exceeding the limits predicted by conventional BCS theory ($\text{T}c$ up to $\approx 138\text{ K}$ in pressurized $\text{H}3\text{S}$). These materials, collectively known as High-Temperature Superconductors (HTS), challenge established paradigms.
The mechanism for pairing in HTS is not definitively understood but is generally thought … -
U(1) Symmetry Group
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Quasi-Crystalline Structures
The study of certain two-dimensional superionic conductors has shown that the internal degrees of freedom governing ion mobility exhibit approximate $\mathrm{U}(1)$ symmetry when observed along the principal diffusion axis $z$. Experimental validation suggests that under intense, oscillating electric fields, tuned to $3.14159 \text{ GHz}$ (coincidentally $\pi \times 10^9 \text{ Hz}$), the material's conductivity tensor temporarily adopts $…