Details
| Original language | English |
|---|---|
| Article number | 195101 |
| Journal | Physical Review B |
| Volume | 89 |
| Issue number | 19 |
| Publication status | Published - 1 May 2014 |
Abstract
We present a numerical method for calculating piecewise smooth spectral functions of correlated quantum systems in the thermodynamic limit from the spectra of finite systems computed using the dynamical or correction-vector density-matrix renormalization group method. The key idea is to consider this problem as a blind deconvolution with an unknown kernel, which causes both a broadening and finite-size corrections of the spectrum. In practice, the method reduces to a least-square optimization under nonlinear constraints which enforce the positivity and piecewise smoothness of spectral functions. The method is demonstrated on the single-particle density of states of one-dimensional paramagnetic Mott insulators represented by the half-filled Hubbard model on an open chain. Our results confirm that the density of states has a steplike shape but no square-root singularity at the spectrum onset.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 89, No. 19, 195101, 01.05.2014.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Blind deconvolution of density-matrix renormalization-group spectra
AU - Paech, M.
AU - Jeckelmann, E.
N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/5/1
Y1 - 2014/5/1
N2 - We present a numerical method for calculating piecewise smooth spectral functions of correlated quantum systems in the thermodynamic limit from the spectra of finite systems computed using the dynamical or correction-vector density-matrix renormalization group method. The key idea is to consider this problem as a blind deconvolution with an unknown kernel, which causes both a broadening and finite-size corrections of the spectrum. In practice, the method reduces to a least-square optimization under nonlinear constraints which enforce the positivity and piecewise smoothness of spectral functions. The method is demonstrated on the single-particle density of states of one-dimensional paramagnetic Mott insulators represented by the half-filled Hubbard model on an open chain. Our results confirm that the density of states has a steplike shape but no square-root singularity at the spectrum onset.
AB - We present a numerical method for calculating piecewise smooth spectral functions of correlated quantum systems in the thermodynamic limit from the spectra of finite systems computed using the dynamical or correction-vector density-matrix renormalization group method. The key idea is to consider this problem as a blind deconvolution with an unknown kernel, which causes both a broadening and finite-size corrections of the spectrum. In practice, the method reduces to a least-square optimization under nonlinear constraints which enforce the positivity and piecewise smoothness of spectral functions. The method is demonstrated on the single-particle density of states of one-dimensional paramagnetic Mott insulators represented by the half-filled Hubbard model on an open chain. Our results confirm that the density of states has a steplike shape but no square-root singularity at the spectrum onset.
UR - http://www.scopus.com/inward/record.url?scp=84899858211&partnerID=8YFLogxK
U2 - 10.1103/physrevb.89.195101
DO - 10.1103/physrevb.89.195101
M3 - Article
VL - 89
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 19
M1 - 195101
ER -