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

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

2011-07-18

arxiv.org/abs/1107.3497v3

Phys. Rev. B 84, 165128 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

RevTeX 4, 18 pages, 11 Encapsulated Postscript figures (v2) fig. 9 replaced for compatibility with PDF generation (v3) new ref

Scientific paper

10.1103/PhysRevB.84.165128

We examine zero-temperature one-particle spectral functions for the one-dimensional two-band spinless fermions with different velocities and general forward-scattering interactions. By using the bosonization technique and diagonalizing the model to two Tomonaga-Luttinger-liquid Hamiltonians, we obtain general expressions for the spectral functions which are given in terms of the Appell hypergeometric functions. For the case of identical two-band fermions, corresponding to the SU(2) symmetric spin-1/2 fermions with repulsive interactions,the spectral functions can be expressed in terms of the Gauss hypergeometric functions and are shown to recover the double-peak structure suggesting the well-known "spin-charge" separation. By tuning the difference in velocities for the two-band fermions, we clarify the crossover in spectral functions from the "spin-charge" separation to the decoupled fermions. We discuss the relevance of our results to the spin-1/2 Hubbard model under a magnetic field which can be mapped onto two-band spinless fermions.

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