Conformal properties of 1D quantum systems with long-range interactions
| dc.creator | Naón, Carlos M. | |
| dc.creator | Salvay, Mariano J. | |
| dc.creator | Trobo, Marta L. | |
| dc.date | 2005-08-27 | |
| dc.date | 2005-11-16 | |
| dc.date.accessioned | 2026-07-07T10:28:04Z | |
| dc.date.available | 2026-07-07T10:28:04Z | |
| dc.description | We investigate conformal properties of a one-dimensional quantum system with a long-range, Coulomb-like potential of the form $\frac{1}{|x|^σ}$, with $σ>0$. We compute the conformal anomaly $c$ as function of $σ$. We obtain $c=0$ for $σ<1$ (Wigner crystal) and $c=1$ for $σ>1$ (Luttinger liquid). By studying the scaling regime of the system when it is deformed by the inclusion of a term $t ρ(x)$, (with $ρ(x)$ a scaling operator), we show that, for $σ>1$, the correlation length $ξ$ gets an additional interaction dependent factor. This leads to a necessary redefinition of $ξ$ in order to avoid an unphysical dependence of the central charge on the coupling constant. | |
| dc.description | 4 pages, no figures. Sectioning and references added. Content unchanged. To appear in Physical Review B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0508650 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0508650 | |
| dc.identifier | Phys.Rev.B72:245110,2005 | |
| dc.identifier | doi:10.1103/PhysRevB.72.245110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177320 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Conformal properties of 1D quantum systems with long-range interactions | |
| dc.type | text |