Phases of the (2+1) dimensional SO(5) non-linear sigma model with topological term
read the original abstract
We use the half-filled zeroth Landau level in graphene as a regularization scheme to study the physics of the SO(5) non-linear sigma model subject to a Wess-Zumino-Witten topological term in 2+1 dimensions. As shown by Ippoliti et al. [PRB 98, 235108 (2019)], this approach allows for negative sign free auxiliary field quantum Monte Carlo simulations. The model has a single free parameter, $U_0$, that monitors the stiffness. Within the parameter range accessible to negative sign free simulations, we observe an ordered phase in the large $U_0$ or stiff limit. Remarkably, upon reducing $U_0$ the magnetization drops substantially, and the correlation length exceeds our biggest system sizes, accommodating 100 flux quanta. The implications of our results for deconfined quantum phase transitions between valence bond solids and anti-ferromagnets are discussed.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Toward Entanglement Bootstrap for Conformal Field Theory in Any Dimension
Proposes and numerically tests a reconstructed Hamiltonian for approximate CFT ground states in any dimension that recovers CFT spectral properties.
-
Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
In quadratic band touching fermionic systems, vortex cores support color-degenerate competing orders from SO(5) mass algebra splitting zero modes, while skyrmions allow additional Kekule or s-wave orders.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.