Z₂ Spin liquid mediated odd frequency triplet superconductivity

We present an exactly solvable Kondo Lattice model i.e., CPT Model, where the Kondo coupling between Yao-Lee spin liquid and conduction electron results in odd frequency triplet superconductivity. Novel nature of the system stems from order-fractionalization, where fractionalized Majorana excitations and conduction electrons condense together to form a S=1/2 spinor ordered states. The consequence of spinor ordering is an odd-frequency superconductor exhibiting pair-density wave state. The breakdown of the spinor ordering due to thermal Z₂ gauge fluctuations is examined analytically by computing vison gap energy in the ordered state. Another cause of breakdown of the spinor ordering in Large Kondo coupling limit is demonstrated using perturbation theory. Following the description of various phases of CPT Model, we propose candidate materials such as UTe₂, 4Hb-TaS₂ , SmB₆ etc, where CPT model can be experimentally realized.