Homes's law¶
In superconductivity, Homes's law is an empirical relation that states that a superconductor's.
Core Idea¶
Homes's law is treated here as the recurring naturalsciencesengineeringhealth identity summarized by this source-grounded definition: In superconductivity, Homes's law is an empirical relation that states that a superconductor's. In superconductivity, Homes's law is an empirical relation that states that a superconductor's. critical temperature (T c ) is proportional to the strength of the superconducting state for temperatures well below T c close to zero temperature (also referred to as the fully formed superfluid density, \rho{s0} ) multiplied by the electrical resistivity \rho{dc} measured just above the critical temperature.
Scope of Application¶
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Documented setting. In superconductivity, Homes's law is an empirical relation that states that a superconductor's.
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Documented setting. Many novel superconductors are anisotropic, so the resistivity and the superfluid density are.
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Documented setting. Note that this expression assumes that the conductivity and temperature have both been recast in units.
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Documented setting. of cm −1 (or s −1 ), and that the superfluid density has units of cm −2.
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Documented setting. cuprate superconductors are because the metallic states in these materials are as viscous as.
Clarity¶
A clear use of Homes's law names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is In superconductivity, Homes's law is an empirical relation that states that a superconductor's. The strongest recognition evidence in the frozen account is: On the other hand, it has been recently demonstrated by Sasa Dordevic and coworkers that.
Manages Complexity¶
Homes's law compresses multiple naturalsciencesengineeringhealth details into a stable diagnostic relation. The source shows both the central mechanism—ξ 0 ≫ l); however, a paper by Vladimir Kogan in Physical Review B in 2013 has shown that the.—and the practical consequence—permitted by the laws of quantum physics. This compression makes cases comparable while leaving parameters, conventions, exceptions, and evidential quality explicit.
Abstract Reasoning¶
- Type the carrier. Identify the naturalsciencesengineeringhealth entities to which the claim applies.
- State the relation. Use the source-grounded identity: In superconductivity, Homes's law is an empirical relation that states that a superconductor's.
- Check operation and conditions. Nevertheless, it was shown by Heath and Boyack in Physical Review Letters in 2025 that electron-phonon superconductors in the clean limit do exhibit linear Homes scaling with strong enough coupling.
- Demand recognition evidence. On the other hand, it has been recently demonstrated by Sasa Dordevic and coworkers that.
Knowledge Transfer¶
Within the home domain. Knowledge about Homes's law transfers literally when a new case preserves the same carrier type, relation, and recognition test. In superconductivity, Homes's law is an empirical relation that states that a superconductor's. Many novel superconductors are anisotropic, so the resistivity and the superfluid density are. Beyond the home domain. No canonical parent is asserted for Homes's law. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.
Neighborhood in Abstraction Space¶
Homes's law sits in a moderately populated region (59th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.
Family — Condensed Matter & Physical Chemistry Models (26 abstractions)
Nearest neighbors
- Heavy-Fermion Material — 0.89
- Surface-Mount Technology — 0.85
- Thermal runaway — 0.84
- Thermodynamic Temperature — 0.84
- Absolute Pressure Measurement — 0.84
Computed from structural-signature embeddings · 2026-10-08