Building fracton phases by Majorana manipulation

The authors show that a set of fracton phases emerges in interacting Majorana band models whose building blocks are within experimental reach. These building blocks contain an array of open Kitaev chain proximity to superconducting island with Majorana zero modes. By hybridizing the Majorana zero modes and controlling the gate voltage, they find a strongly coupling and the resultant state yields a long-range entangled fracton topological phase whose quasiparticle has restricted mobility.