Numerical investigations of itinerant electrons coupled to skyrmion lattice

We investigate the properties of fermions coupled to skyrmion lattice in frustrated spin system with Self-learning Monte-Carlo (SLMC) and Kernel Polynomial Method (KPM). SLMC captures the low-energy physics of the coupled system and provides global update of spin configurations, and KPM is an efficient algorithm to calculate spectral quantities and various correlation functions of the itinerant electrons. By means of such unbiased numerical tools, the novel spectral and transport properties of itinerant electrons in the presence of effective gauge field generated by the skyrmion lattice spin background, are revealed with high accuracy.