The work proves that quasi-character coefficients have stabilizing alternating signs and estimates their growth near n ~ c/12 via Frobenius recursion on MLDEs, enabling candidate RCFT characters at arbitrary Wronskian index.
Perfect Metal Phases of One-Dimensional and Anisotropic Higher-Dimensional Systems
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
We show that a 1D quantum wire with $23$ channels of interacting fermions has a perfect metal phase in which all weak perturbations that could destabilize this phase are irrelevant. Consequently, weak disorder does not localize it, a weak periodic potential does not open a gap, and contact with a superconductor also fails to open a gap. Similar phases occur for $N \geq 24$ channels of fermions, except for $N=25$, and for $8k$ channels of interacting bosons, with $k\geq 3$. Arrays of perfect metallic wires form higher-dimensional fermionic or bosonic perfect metals, albeit highly-anisotropic ones.
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Signs, growth and admissibility of quasi-characters and the holomorphic modular bootstrap for RCFT
The work proves that quasi-character coefficients have stabilizing alternating signs and estimates their growth near n ~ c/12 via Frobenius recursion on MLDEs, enabling candidate RCFT characters at arbitrary Wronskian index.