2024/07/11 by Aaditya Panigrahi, Panigrahi, Aaditya, A. M. Tsvelik +3 · 3 citations
Engineering · #Advanced Control Systems Design
paper · pdf · doi:10.48550/arxiv.2407.08784
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 Jc, 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 ℤ2-gauged XY model lead us to propose a tentative phase diagram for the CPT model at half-filling.