Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control

This repository contains all the numerical data used in this research work. The ground state energies of a single hole vs. the diagonal hopping strength tp on various system geometries are provided in the following files: data_ground_state_energy_18x6_infU.csv data_ground_state_energy_27x6_infU.csv data_ground_state_energy_42x6_infU.csv The spin-spin and hole-spin-spin correlations for the single hole sector are provided in the following files: spinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.2.csv spinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.24.csv spinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.26.csv spinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.6.csv holeSpinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.2.csv holeSpinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.24.csv holeSpinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.26.csv holeSpinSpin_correlation_1hole_Sz=onehalf_18x6cylinder_tp=0.6.csv The fine hole correlations are provided in the following data files: data_correlations_12holes_XC6_Nx18_infU_tp0.15_bondDim24k.h5 data_correlations_12holes_XC6_Nx18_infU_tp0.3_bondDim25k.h5 data_correlations_12holes_XC6_Nx18_infU_tp0.6_bondDim24k.h5 data_correlations_6holes_XC6_Nx18_infU_tp0.25.h5 A Python script, plot_hss.py, is also included to read the .h5 files (for finite-hole datasets) and to plot the real-space structure of the magnetic correlations.