Fig. 5: charge and spin gap,,,,,
t1/t,Nx=32,Nx=48,Nx=64,Nx=80,Nx=infinity
0.1,0.015310639,0.010395208,0.007975872,0.006599201,0.000726727
0.2,0.027881999,0.018763128,0.014199657,0.011486643,0.000541171
0.3,0.038295366,0.025704393,0.019391119,0.01561023,0.000488881
0.4,0.046482604,0.031166173,0.023466844,0.01886988,0.000461989
0.5,0.051512118,0.034477056,0.025976303,0.020908033,0.000477346
0.54,0.05190864,0.034640126,0.026002659,0.020838789,0.000114327
0.58,0.050959973,0.0339021,0.025417537,0.020320993,-0.000118096
charge gap,,,,,
0.1,0.00526538,0.003687025,0.002919159,0.002540802,0.000661128
0.2,0.012335351,0.008426996,0.006459694,0.005288282,0.000589257
0.3,0.020548951,0.013911341,0.010565751,0.008593686,0.000610144
0.4,0.029676807,0.019958067,0.015114596,0.012269854,0.000618073
0.5,0.04182796,0.02833537,0.021522688,0.017422561,0.001186091
0.54,0.051787086,0.036503617,0.028638718,0.023845576,0.005353011
0.58,0.077859849,0.063941091,0.057305486,0.05359423,0.037112394
spin gap,,,,,