1201.6409 (Fengcheng Wu et al.)

Phase diagram of the toric code model in magnetic field    [PDF]

Fengcheng Wu, Youjin Deng, Nikolay Prokof'ev

We study the phase diagram of the toric code model in magnetic field which
has three distinct phases: topological phase, charge-condensed phase and
vortex-condensed phase. An implicit local order parameter that characterizes
the transition between the topological phase and charge-condensed phase is
sampled in the continuous-time Monte Carlo simulation, and the corresponding
second-order transition line is obtained by finite-size scaling analysis of
this order parameter. The symmetry breaking between charges and vortices along
the first-order transition line is also observed, and our numerical result
$h_x^{(c)}=h_z^{(c)}=0.418(2)$ provides the most accurate estimate of the end
point of the first-order transition line, compared to
$h_x^{(c)}=h_z^{(c)}=0.48(2)$ obtained in [Phys. Rev. B {\bf 79}, 033109
(2009)].

View original: http://arxiv.org/abs/1201.6409