Coupled quantum critical states in a circuit simulator

D. B. Karki; Andrew K. Mitchell

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arXiv · 2610.10048

Coupled quantum critical states in a circuit simulator

D. B. Karki·Andrew K. Mitchell

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Abstract

Hybrid metal-semiconductor quantum circuits offer a controlled setting for realizing and probing strongly correlated quantum matter. A largely open question that may be addressed by such simulators is whether coupled critical states can combine into new non-Fermi liquid (NFL) phases. Inspired by the recent realization of a two-site charge-Kondo circuit [W. Pouse \textit{et al.}, \href{https://www.nature.com/articles/s41567-022-01905-4}{Nat. Phys. \textbf{19}, 492 (2023)}], we uncover the fate of coupled Kondo anyons emerging from the two-channel-Kondo critical point at each site. Bosonization and quantum Brownian motion methods yield the full quasiballistic phase diagram and low-temperature transport properties, while numerical renormalization group calculations resolve the complementary weak-coupling limit. Together, these provide a unified description, and reveal robust NFL phases with continuously tunable transport and susceptibility exponents. Stronger inter-site coupling ultimately produces a screened Fermi liquid.

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D. B. Karki, Andrew K. Mitchell. 2026-10-07. Coupled quantum critical states in a circuit simulator. https://arxiv.org/abs/2610.10048

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