Details
| Original language | English |
|---|---|
| Pages (from-to) | 4139-4149 |
| Number of pages | 11 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 30 |
| Issue number | 12 |
| Publication status | Published - 21 Jun 1997 |
Abstract
We use the Bethe ansatz solution for the one-dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials, one finds that the true ground state contains a single charge or, for boundary potentials comparable with the Hubbard interaction, a pair of electrons in a bound state. If these are left unoccupied one finds holon and spinon bound states. We compute the finite size corrections to the low-lying energies in this system and use the predictions of boundary conformal field theory to study the exponents related to the orthogonality catastrophe.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and General, Vol. 30, No. 12, 21.06.1997, p. 4139-4149.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Spectrum of boundary states in the open Hubbard chain
AU - Bedürftig, Gerald
AU - Frahm, Holger
PY - 1997/6/21
Y1 - 1997/6/21
N2 - We use the Bethe ansatz solution for the one-dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials, one finds that the true ground state contains a single charge or, for boundary potentials comparable with the Hubbard interaction, a pair of electrons in a bound state. If these are left unoccupied one finds holon and spinon bound states. We compute the finite size corrections to the low-lying energies in this system and use the predictions of boundary conformal field theory to study the exponents related to the orthogonality catastrophe.
AB - We use the Bethe ansatz solution for the one-dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials, one finds that the true ground state contains a single charge or, for boundary potentials comparable with the Hubbard interaction, a pair of electrons in a bound state. If these are left unoccupied one finds holon and spinon bound states. We compute the finite size corrections to the low-lying energies in this system and use the predictions of boundary conformal field theory to study the exponents related to the orthogonality catastrophe.
U2 - 10.1088/0305-4470/30/12/006
DO - 10.1088/0305-4470/30/12/006
M3 - Article
AN - SCOPUS:0039860806
VL - 30
SP - 4139
EP - 4149
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 12
ER -