| _version_ | 1866902330419445760 |
|---|---|
| author | SUTTON, JAMES |
| author_facet | SUTTON, JAMES |
| contents | <p>Recent experiments on ultraclean graphene near charge neutrality have reported<br>extreme violations of the Wiedemann–Franz law, accompanied by hydrodynamic<br>transport and signatures of near-minimal viscosity. While Dirac-point criticality<br>and electronic hydrodynamics are well characterised, the mechanism by which heat<br>and charge decouple so strongly remains unresolved within quasiparticle-based or<br>time-averaged transport descriptions.<br>Here we show that extreme Wiedemann–Franz violation arises generically from<br>ordering-sensitive transport, when accessibility windows do not commute in time.<br>Using a minimal quantum geometry engine (QGE), we demonstrate that transport<br>is governed not by static material parameters but by invariant-enforced constraints<br>on ordered mode evolution, implemented through the Accessibility–Ordering Invari-<br>ant (AOI). This invariant captures the effect of transient, time-ordered connectivity<br>and explains why transport outcomes depend on schedule rather than average cou-<br>pling, without requiring an explicit solution of the Dirac equation.<br>Under ordered cycling, charge transport is selectively suppressed relative to<br>heat transport, producing Lorenz-ratio amplification comparable to experimental<br>observations in graphene. We further show that viscosity is dynamically active<br>yet remains largely orthogonal to the ordering-controlled transport ratio: it gener-<br>ates structured internal mode activity and resonance features without acting as a<br>global control parameter across a broad operating regime. Chirality bias is found<br>to be weakly relevant: it selects an odd handedness observable and responds pre-<br>dictably to symmetry reversal, while remaining secondary to the ordering-induced<br>amplification mechanism.<br>Together, these results establish the Accessibility–Ordering Invariant as the<br>dominant control principle for transport decoupling in graphene-class Dirac-fluid<br>transport, providing a geometry-first, invariant-based framework that reproduces<br>key experimental features without reliance on explicit Dirac dynamics and offers a<br>predictive route to engineered transport control beyond graphene.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18370695 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Invariant-Governed Mode Ordering and Extreme Wiedemann–Franz Violation in Dirac Quantum Fluids (PaperA) SUTTON, JAMES Wiedermann-Franz law Dirac quantum fluids charge-heat decoupling ordered transport time-dependent connectivity non-commuting dynamics transport invariants quantum geometry engine hydrodynamic transport Viscosity mode competition lorenz ratio non-equilibrium transport Graphene symmetry-even and symmetry-odd responses Wiedemann-Franz violation <p>Recent experiments on ultraclean graphene near charge neutrality have reported<br>extreme violations of the Wiedemann–Franz law, accompanied by hydrodynamic<br>transport and signatures of near-minimal viscosity. While Dirac-point criticality<br>and electronic hydrodynamics are well characterised, the mechanism by which heat<br>and charge decouple so strongly remains unresolved within quasiparticle-based or<br>time-averaged transport descriptions.<br>Here we show that extreme Wiedemann–Franz violation arises generically from<br>ordering-sensitive transport, when accessibility windows do not commute in time.<br>Using a minimal quantum geometry engine (QGE), we demonstrate that transport<br>is governed not by static material parameters but by invariant-enforced constraints<br>on ordered mode evolution, implemented through the Accessibility–Ordering Invari-<br>ant (AOI). This invariant captures the effect of transient, time-ordered connectivity<br>and explains why transport outcomes depend on schedule rather than average cou-<br>pling, without requiring an explicit solution of the Dirac equation.<br>Under ordered cycling, charge transport is selectively suppressed relative to<br>heat transport, producing Lorenz-ratio amplification comparable to experimental<br>observations in graphene. We further show that viscosity is dynamically active<br>yet remains largely orthogonal to the ordering-controlled transport ratio: it gener-<br>ates structured internal mode activity and resonance features without acting as a<br>global control parameter across a broad operating regime. Chirality bias is found<br>to be weakly relevant: it selects an odd handedness observable and responds pre-<br>dictably to symmetry reversal, while remaining secondary to the ordering-induced<br>amplification mechanism.<br>Together, these results establish the Accessibility–Ordering Invariant as the<br>dominant control principle for transport decoupling in graphene-class Dirac-fluid<br>transport, providing a geometry-first, invariant-based framework that reproduces<br>key experimental features without reliance on explicit Dirac dynamics and offers a<br>predictive route to engineered transport control beyond graphene.</p> |
| title | Invariant-Governed Mode Ordering and Extreme Wiedemann–Franz Violation in Dirac Quantum Fluids (PaperA) |
| topic | Wiedermann-Franz law Dirac quantum fluids charge-heat decoupling ordered transport time-dependent connectivity non-commuting dynamics transport invariants quantum geometry engine hydrodynamic transport Viscosity mode competition lorenz ratio non-equilibrium transport Graphene symmetry-even and symmetry-odd responses Wiedemann-Franz violation |
| url | https://doi.org/10.5281/zenodo.18370695 |