Fracton Topological Order at Finite Temperature

Understand

As new kinds of stabilizer code models, fracton models have been promising in realizing quantum memory or quantum hard drives.

• However, it has been shown that the fracton topological order of 3D fracton models occurs only at zero temperature.
• In this Letter, we show that higher dimensional fracton models can support a fracton topological order below a nonzero critical temperature $T_c$.
• Focusing on a typical 4D X-cube model, we show that there is a finite critical temperature $T_c$ by analyzing its free energy from duality.