Tomonaga-Luttinger parameters for doped Mott insulators
| dc.creator | Ejima, Satoshi | |
| dc.creator | Gebhard, Florian | |
| dc.creator | Nishimoto, Satoshi | |
| dc.date | 2005-07-22 | |
| dc.date.accessioned | 2026-07-07T03:06:04Z | |
| dc.date.available | 2026-07-07T03:06:04Z | |
| dc.description | The Tomonaga--Luttinger parameter $K_ρ$ 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 $K_ρ$ 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 $K_ρ$ in the phase diagram of the extended Hubbard model at quarter filling, $n_{\rm c}=1/2$, and confirm the bosonization results $K_ρ=n_{\rm c}^2=1/4$ on the critical line and $K_ρ^{\rm CDW}=n_{\rm c}^2/2=1/8$ at infinitesimal doping of the charge-density-wave (CDW) insulator for all interaction strengths. The doped CDW insulator exhibits exponents $α>1$ only for small doping and strong correlations. | |
| dc.description | 7 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507508 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507508 | |
| dc.identifier | Europhys. Lett., 70, 492 (2005) | |
| dc.identifier | doi:10.1209/epl/i2005-10020-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26676 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Tomonaga-Luttinger parameters for doped Mott insulators | |
| dc.type | text |