Topological superconducting phase protected by 1D local magnetic symmetries

Scientists from China and USA classified 1D gapped topological superconducting quantum wires with local magnetic symmetries (LMSs), in which the time-reversal symmetry is broken but its combinations with certain crystalline symmetries, such as MxT, C2zT, C4zT, and C6zT, are preserved. Two new types of topological superconducting phases with multiple Majorana Kramer pairs and multiple Majorana zero modes are presented. And the minimal models preserving C4zT symmetry are constructed to illustrate their novel topological properties.