Anomalous scaling at the quantum critical point
| dc.creator | Abanov, Ar. | |
| dc.creator | Chubukov, A. | |
| dc.date | 2004-09-22 | |
| dc.date.accessioned | 2026-07-07T03:00:58Z | |
| dc.date.available | 2026-07-07T03:00:58Z | |
| dc.description | We show that Hertz $ϕ^4$ theory of quantum criticality is incomplete as it misses anomalous non-local contributions to the interaction vertices. For antiferromagnetic quantum transitions, we found that the theory is renormalizable only if the dynamical exponent $z=2$. The upper critical dimension is still $d= 4-z =2$, however the number of marginal vertices at $d=2$ is infinite. As a result, the theory has a finite anomalous exponent already at the upper critical dimension. We show that for $d<2$ the Gaussian fixed point splits into two non-Gaussian fixed points. For both fixed points, the dynamical exponent remains $z=2$. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0409601 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0409601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/24923 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Anomalous scaling at the quantum critical point | |
| dc.type | text |