Year: 2016
Type: article
Abstract: Although there is a broad consensus on the fact that critical behavior in stacked triangular Heisenberg antiferromagnets---an example of frustrated magnets with competing interactions---is described by a Landau-Ginzburg-Wilson Hamiltonian with $\text{O}(3)\ifmmode\times\else\texttimes\fi{}\text{O}(2)$ symmetry, the nature of the phase transition in three dimensions is still debated. We show that spin-one Bose gases provide us with a simulator of the $\text{O}(3)\ifmmode\times\else\texttimes\fi{}\text{O}(2)$ model. Using a renormalization-group approach, we argue that the transition is weakly first order and shows pseudoscaling behavior, and give estimates of the pseudocritical exponent $\ensuremath{\nu}$ in $^{87}\mathrm{Rb}$, $^{41}\mathrm{K}$, and ${}^{7}\mathrm{Li}$ atom gases which can be tested experimentally.
Source: Physical Review A
Authors: T. Debelhoir, N. Dupuis
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2194659432