| Issue |
Europhys. Lett.
Volume 70, Number 4, May 2005
|
|
|---|---|---|
| Page(s) | 492 - 498 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2005-10020-8 | |
| Published online | 15 April 2005 | |
Tomonaga-Luttinger parameters for doped Mott insulators
1
Fachbereich Physik, Philipps-Universität Marburg - D-35032 Marburg, Germany
2
Institut für Theoretische Physik, Universität Göttingen D-37077 Göttingen, Germany
Received:
28
February
2005
Accepted:
31
March
2005
The Tomonaga-Luttinger parameter 
determines the
critical behavior in quasi–one-dimensional correlated electron
systems, e.g., the exponent α for the density of
states near the Fermi energy. We use the numerical density-matrix
renormalization group method to calculate from the
slope of the density-density correlation function in momentum
space at zero wave vector. We check the accuracy of our new
approach against exact results for the Hubbard and XXZ Heisenberg
models. We determine in the phase diagram of the
extended Hubbard model at quarter filling, 
, and
confirm the bosonization results 
on
the critical line and 
at
infinitesimal doping of the charge-density-wave (CDW) insulator
for all interaction strengths. The doped CDW insulator exhibits
exponents 
only for small doping and strong
correlations.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.30.+h – Metal-insulator transitions and other electronic transitions / 71.10.Hf – Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems
© EDP Sciences, 2005
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