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We have performed angle-resolved photoemission and core-level x-rayphotoemission studies of the single-layer cuprateBi$_2$Sr$_{2-x}$La$_x$CuO$_{6+\delta}$ (Bi2201) and revealed the dopingevolution of the electronic structure from the lightly-doped to optimally-dopedregions. We have observed the formation of the dispersive quasi-particle band,evolution of the Fermi ``arc'' into the Fermi surface and the shift of thechemical potential with hole doping as in other cuprates. The doping evolutionin Bi2201 is similar to that in Ca$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_2$ (Na-CCOC),where a rapid chemical potential shift toward the lower Hubbard band of theparent insulator has been observed, but is quite different from that inLa$_{2-x}$Sr$_{x}$CuO$_{4}$ (LSCO), where the chemical potential does notshift, yet the dispersive band and the Fermi arc/surface are formed around theFermi level already in the lightly-doped region. The (underlying) Fermi surfaceshape and band dispersions are quantitatively analyzed using tight-binding fit,and the deduced next-nearest-neighbor hopping integral $t'$ also confirm thesimilarity to Na-CCOC and the difference from LSCO.

physical review. b, condensed matter and materials physics

Doping evolution of the electronic structure in the single-layer  cuprates Bi$_2$Sr$_{2-x}$La$_x$CuO$_{6+\delta}$: Comparison with other  single-layer cuprates