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We examine zero-temperature one-particle spectral functions for theone-dimensional two-band spinless fermions with different velocities andgeneral forward-scattering interactions. By using the bosonization techniqueand diagonalizing the model to two Tomonaga-Luttinger-liquid Hamiltonians, weobtain general expressions for the spectral functions which are given in termsof the Appell hypergeometric functions. For the case of identical two-bandfermions, corresponding to the SU(2) symmetric spin-1/2 fermions with repulsiveinteractions,the spectral functions can be expressed in terms of the Gausshypergeometric functions and are shown to recover the double-peak structuresuggesting the well-known "spin-charge" separation. By tuning the difference invelocities for the two-band fermions, we clarify the crossover in spectralfunctions from the "spin-charge" separation to the decoupled fermions. Wediscuss the relevance of our results to the spin-1/2 Hubbard model under amagnetic field which can be mapped onto two-band spinless fermions.

Spectral functions of two-band spinless fermion and single-band spin-1/2 fermion models