Table 7 Table of critical exponents for longer-range two orbital model with \(t=0.5\) obtained by an analysis of Eqs. (14) and (7).
From: Critical scaling of a two-orbital topological model with extended neighboring couplings
r | \(\hspace{0.13cm}\alpha \hspace{0.13cm}\) | \(\epsilon\) | \((|A_2|,|A_4|)\) | (|A|, |B|) | \(k_0=0\) | \(k_0=\pi\) |
---|---|---|---|---|---|---|
\((k_0=0,\pi )\) | \((k_0=0,\pi )\) | \((k_0=0,\pi )\) | \((z,\nu )\) | \((z,\nu )\) | ||
2 | 0 | (\(-\) 2,0) | (36,–)(4,–) | (600,–)(200,–) | (1,1) | (1,1) |
0.1 | (\(-\) 1.93,0.06) | (32.8573,–)(3.0003,–) | (944.963,–)(440.296,–) | (1,1) | (1,1) | |
0.5 | (\(-\) 1.70,0.29) | (23.3137,–)(0.6863,–) | (1145.93,–)(143.167,–) | (1,1) | (1,1) | |
0.9 | (\(-\) 1.53,0.46) | (17.1690,–)(0.0206,–) | (2336.42,–)(17.4493,–) | (1,1) | (1,1) | |
1 | (\(-\) 1.5,0.5) | (16,–)(0,4.12) | (400,–)(0,3.81) | (1,1) | (2,1/2) | |
1.1 | (\(-\) 1.46,0.53) | (14.9465,–)(0.0179,–) | (1274.67,–)(19.224,–) | (1,1) | (1,1) | |
1.4 | (\(-\) 1.37,0.62) | (12.3603,–)(0.2345,–) | (447.39,–)(226.119,–) | (1,1) | (1,1) | |
1.9 | (\(-\) 1.26,0.73) | (9.4358,–)(0.8616,–) | (521.813,–)(225.666,–) | (1,1) | (1,1) | |
3 | 0 | (\(-\) 3,1) | (144,–)(16,–) | (1200,–)(400,–) | (1,1) | (1,1) |
0.1 | (\(-\) 2.82,0.96) | (123.3850,–)(13.2760,–) | (1391.46,–)(622.741,–) | (1,1) | (1,1) | |
0.5 | (\(-\) 2.28,0.87) | (68.7660,–)(6.9468,–) | (930.271,–)(5412.33,–) | (1,1) | (1,1) | |
0.9 | (\(-\) 1.90,0.8361) | (40.6507,–)(4.3627,–) | (1088.84,–)(904.726,–) | (1,1) | (1,1) | |
1 | (\(-\) 1.83,0.8333) | (36,–)(4,–) | (489.273,–)(358.8,–) | (1,1) | (1,1) | |
1.1 | (\(-\) 1.76,0.8321) | (32.0128,–)(3.7089,–) | (16708.4,–)(450.739,–) | (1,1) | (1,1) | |
1.4 | (\(-\) 1.59,0.8358) | (23.0833,–)(3.1438,–) | (644.529,–)(1020.34,–) | (1,1) | (1,1) | |
1.9 | (\(-\) 1.39,0.8561) | (14.5608,–)(2.7966,–) | (974.899,–)(781.219,–) | (1,1) | (1,1) |