Preprint about new type of toric code
Check out the new preprint 2411.19051 by LEP members Max Vieweg and Kai Phillip Schmidt entitled „Fracton and topological order in the XY checkerboard toric code“.
The conventional 2D toric code is the most paradigmatic, simplest, and exactly solvable model displaying topological order, which has been proposed as quantum memory and is relevant for quantum error correction. It plays an important role in several domains of research covering condensed matter physics, quantum optics, and quantum information. However, the toric code has so far not been linked to the field of fracton physics. In our work we introduce the XY checkerboard toric code (XYTC) connecting for the first time topological and fracton order in two dimensions within the same model. The XYTC represents a generalization of the conventional toric code with two types of star operators and two anisotropic star sublattices forming a checkerboard lattice. We derive all relevant physical properties of the topological and fraction phase analytically.