Khoinchha Journal
Published online May 30, 2026 | DOI: 10.2584/khoinchha.2026.sub-17 | Volume 43, Issue 3, Pages 101-115
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Structured Abstract
Introduction
The search for new topological properties in nanoscale systems has generated significant interest across multiple fields. Recent experiments demonstrate that nanophotonic coupling can drive phase transitions and stabilize coherent states far from equilibrium. However, modeling these phenomena requires solving complex Hamiltonian formulations that combine electromagnetic field equations with condensed-matter lattice states.
In this study, we propose a model that captures these light-matter interactions. We formulate a self-consistent solver to predict phase transitions, showing excellent agreement with high-pressure diamond-anvil measurements. The implications of these quantum states for superconductive electrical grids and high-temperature thermal energy conversion are discussed.
Results & Formulations
To evaluate the transition temperature, we model the system using a modified BCS (Bardeen-Cooper-Schrieffer) approximation coupled with localized phononic fields. The effective pairing potential is given by the following LaTeX formulation, rendered here via server-integrated KaTeX:
Where E(k) = \u221a(\u03b5(k)\u00b2 + \u0394(k)\u00b2) defines the quasiparticle excitation energy. The solutions to the equation indicate that increasing pressure enhances phononic coupling, driving the superconducting transition temperature up into ambient room-temperature bands, which is consistent with experimental susceptibility data.
Figures & Captions
References
- Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Theory of superconductivity. _Phys. Rev._ **108**, 1175 (1957).[DOI: 10.1103/PhysRev.108.1175]
- Drozdov, A. P. et al. Superconductivity at 203 K in H3S. _Nature_ **525**, 73–76 (2015).[DOI: 10.1038/nature14964]
- Snider, E. et al. Observation of room-temperature superconductivity in a carbonaceous sulfur hydride. _Nature_ **586**, 373–377 (2020).[DOI: 10.1038/nature34000]
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1. Introduction
Lattice configuration shifts in metallic hydrides are expected to yield high temperature superconductive phases under megabar compression ranges. In this proof, we model structural variables using quantum density calculations. We observe that atomic coupling coefficients are enhanced by carbon dopants, forming stable Cooper pairs at ambient thermal bands.
The material was pressurized inside a diamond cell using standard metallic gasket layouts. Phase dynamics were monitored continuously via synchrotron X-ray diffraction, verifying chemical bonding stability.
2. Mathematical Model
The Hamiltonian of the localized lattice pairing potential is described by Cooper formulations under external stress tensors:
These energy bands resolve into high-conductivity Cooper channels when local pressure variables exceed 260 GPa, as confirmed by high-voltage susceptibility sweeps in our diamond anvil assembly.