Tomonaga-Luttinger parameters for doped Mott insulators

S. Ejima; F. Gebhard; S. Nishimoto

doi:10.1209/epl/i2005-10020-8

All issues

Volume 70 / No 4 (May 2005)

Europhys. Lett., 70 4 (2005) 492-498

Abstract

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

Europhys. Lett., 70 (4), pp. 492-498 (2005)

Tomonaga-Luttinger parameters for doped Mott insulators

S. Ejima¹, F. Gebhard¹ and S. Nishimoto²

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

Abstract

The Tomonaga-Luttinger parameter $K_{\rho}$ 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 $K_{\rho}$ 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 $K_{\rho}$ in the phase diagram of the extended Hubbard model at quarter filling, $n_{\ab{c}}=1/2$ , and confirm the bosonization results $K_{\rho}=n_{\ab{c}}^2=1/4$ on the critical line and $K_{\rho}^{\ab{CDW}}=n_{\ab{c}}^2/2=1/8$ at infinitesimal doping of the charge-density-wave (CDW) insulator for all interaction strengths. The doped CDW insulator exhibits exponents $\alpha>1$ 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

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