Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
| dc.creator | Nogueira, Flavio S. | |
| dc.date | 2008-02-04 | |
| dc.date | 2008-05-06 | |
| dc.date.accessioned | 2026-07-07T09:36:49Z | |
| dc.date.available | 2026-07-07T09:36:49Z | |
| dc.description | Quantum electrodynamics in 2+1 dimensions is an effective gauge theory for the so called algebraic quantum liquids. A new type of such a liquid, the algebraic charge liquid, has been proposed recently in the context of deconfined quantum critical points [R. K. Kaul {\it et al.}, Nature Physics {\bf 4}, 28 (2008)]. In this context, we show by using the renormalization group in $d=4-ε$ spacetime dimensions, that a deconfined quantum critical point occurs in a SU(2) system provided the number of Dirac fermion species $N_f\geq 4$. The calculations are done in a representation where the Dirac fermions are given by four-component spinors. The critical exponents are calculated for several values of $N_f$. In particular, for $N_f=4$ and $ε=1$ ($d=2+1$) the anomalous dimension of the Néel field is given by $η_N=1/3$, with a correlation length exponent $ν=1/2$. These values change considerably for $N_f>4$. For instance, for $N_f=6$ we find $η_N\approx 0.75191$ and $ν\approx 0.66009$. We also investigate the effect of chiral symmetry breaking and analyze the scaling behavior of the chiral holon susceptibility, $G_χ(x)\equiv<\bar ψ(x)ψ(x)\bar ψ(0)ψ(0)>$. | |
| dc.description | 13 pages, 3 figures; published version | |
| dc.identifier | https://arxiv.org/abs/0802.0500 | |
| dc.identifier | http://arxiv.org/abs/0802.0500 | |
| dc.identifier | Phys. Rev. B 77, 195101 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.77.195101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160254 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets | |
| dc.type | text |