Breakdown of order-fractionalization in the CPT model

Aaditya Panigrahi; Alexei Tsvelik; Piers Coleman

doi:10.1103/physrevb.110.104520

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arXiv · 2407.08784

Breakdown of order-fractionalization in the CPT model

Aaditya Panigrahi·Alexei Tsvelik·Piers Coleman

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Abstract

We present an analysis of the half-filled CPT model, an analytically tractable Kondo lattice model with Yao-Lee spin-spin interactions on a 3D hyperoctagon lattice, proposed by Coleman, Panigrahi, and Tsvelik. Previous studies have established that the CPT model exhibits odd-frequency triplet superconductivity and order fractionalization. Through asymptotic analyses in the small $J$ and large $J$ Kondo coupling limits, we identify a quantum critical point at $J_c$, marking a transition from a superconductor to a Kondo insulator. By estimating the vison gap energy to account for thermal gauge fluctuations, we determine the energy scales governing the thermal breakdown of order fractionalization. Moreover, at large $J$ the Kondo insulator undergoes orbital decoupling, leading to the formation of a decoupled Kitaev orbital liquid. These findings and analogies with the $\mathbb{Z}_2$-gauged $XY$ model lead us to propose a tentative phase diagram for the CPT model at half-filling.

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Aaditya Panigrahi, Alexei Tsvelik, Piers Coleman. 2024-07-11. Breakdown of order-fractionalization in the CPT model. https://doi.org/10.1103/physrevb.110.104520

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