Breakdown of order-fractionalization in the CPT model

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.

10 pages, 7 figures

References in corpus (6)

• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Heavy electrons and the symplectic symmetry of spin
• Supplementary material to Heavy electrons and the symplectic symmetry of spin
• Transport anomalies in a simplified model for a heavy electron quantum critical point
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Cited by in corpus (4)

• Fractionalized Fermi liquids and the cuprate phase diagram
• Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
• Topological superconductivity in a spin-orbit coupled Kondo lattice
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice