Spectral functions of half-filled one-dimensional Hubbard rings with varying boundary conditions
UNSPECIFIED. (2000) Spectral functions of half-filled one-dimensional Hubbard rings with varying boundary conditions. PHYSICAL REVIEW B, 61 (7). pp. 4651-4658. ISSN 1098-0121Full text not available from this repository.
We study the effect of varying the boundary condition on: the spectral function of a finite one-dimensional Hubbard chain, which we compute using direct (Lanczos) diagonalization of the Hamiltonian. By direct comparison with the two-body response functions and with the exact solution of the Bethe ansatz equations, we can identify both spinon and holon features in the spectra. At half-filling the spectra have the well-known structure of a low-energy holon band and its shadow-which spans the whole Brillouin zone-and a spinon band present for momenta less than the Fermi momentum. Features related to the twisted boundary condition are cusps in the spinon band. We show that the spectral building principle, adapted to account for both the finite system size and the twisted boundary condition, describes the spectra well in terms of single spinon and holon excitations. We argue that these finite-size effects are a signature of spin-charge separation and that their study should help establish the existence and nature of spin-charge separation in finite-size systems.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Journal or Publication Title:||PHYSICAL REVIEW B|
|Publisher:||AMERICAN PHYSICAL SOC|
|Official Date:||15 February 2000|
|Number of Pages:||8|
|Page Range:||pp. 4651-4658|
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