Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-05-11
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 16 figures; submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.58.10225
Using the Density Matrix Renormalization Group (DMRG), we calculate critical exponents for the one-dimensional Hubbard model with open boundary conditions with and without additional boundary potentials at both ends. A direct comparison with open boundary condition Bethe Ansatz calculations provides a good check for the DMRG calculations on large system sizes. On the other hand, the DMRG calculations provide an independent check of the predictions of Conformal Field Theory, which are needed to obtain the critical exponents from the Bethe Ansatz. From Bethe Ansatz we predict the behaviour of the 1/L-corrected mean value of the Friedel oscillations (for the density and the magnetization) and the characteristic wave vectors, and show numerically that these conjectures are fulfilled with and without boundary potentials. The quality of the numerical results allows us to determine, for the first time, the behaviour of the coefficients of the Friedel oscillations as a function of the the Hubbard interaction.
Bedürftig Gerald
Brendel B.
Frahm Holger
Noack Reinhard M.
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