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

Article

关键词: DIMENSIONAL HUBBARD-MODEL;    TOMONAGA-LUTTINGER MODEL;    TONKS-GIRARDEAU GAS;    CHARGE SEPARATION;    MAGNETIC-FIELD;    PHOTOEMISSION-SPECTROSCOPY;    LIQUID BEHAVIOR;    OPTICAL LATTICE;    WAVE-FUNCTION;    PROBE;   

DOI  :  10.1103/PhysRevB.84.165128

来源: SCIE

【 摘 要 】

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 function 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.

【 授权许可】

Free