Fig. 4: Pseudopotential parameters of the Trugman-Kivelson interaction. | Communications Physics

Fig. 4: Pseudopotential parameters of the Trugman-Kivelson interaction.

From: Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals

Fig. 4

Q is the strength of the magnetic monopole. Since for the Q = 0 flat band, the system no longer has a magnetic length, making the sphere’s radius the only relevant length scale, we perform an energy normalization by taking the radius of the sphere with zero field to be equal to that of the lowest Landau level. a Pseudopotential parameters of the Trugman-Kivelson interaction in different Landau level with orbital angular momentum l = 17. Red open circles (LLL), blue open squares (1LL), green open triangles (2LL), and purple open diamonds (3LL) represent the lowest, first, second, and third Landau levels, respectively. b Pseudopotential parameters of the Trugman-Kivelson interaction in the lth flat band with Q = 0. Red filled circles, blue filled squares, green filled triangles, and purple filled diamonds represent l = 8, 11, 14 and 17, respectively. c Pseudopotential parameters of the Coulomb interaction in different flat band with l = 17. Source data are provided in the Supplementary Data.

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