Majorana lattice gauge theory: Symmetry breaking, topological order and intertwined orders all in one

The Majorana lattice gauge theory purely composed of Majorana fermions on square lattice is studied throughly. The ground state is obtained exactly and exhibits the coexis-tence of symmetry breaking and topological order. The Z2 symmetry breaking of matter fields leads to the intertwined antiferromagnetic spin order and ?-pairing order. The topological order is reflected in the Z2 quantum spin liquid ground state of gauge fields. The Majorana lattice gauge theory, alternatively can be viewed as interacting Majorana fermion model, is possibly realized on a Majorana-zero-mode lattice.

Automated summary

The Majorana lattice gauge theory composed of Majorana fermions on a square lattice is thoroughly studied. The exact ground state is obtained, showing the coexistence of symmetry breaking and topological order. The Z2 symmetry breaking of matter fields leads to intertwined antiferromagnetic spin order and γ-pairing order. The topological order is reflected in the Z2 quantum spin liquid ground state of gauge fields. The Majorana lattice gauge theory can also be seen as an interacting Majorana fermion model, possibly realized on a Majorana-zero-mode lattice.