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Majorana lattice gauge theory: symmetry breaking, topological order and intertwined orders all in one
by Jian-Jian Miao
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Jian-Jian Miao |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202211_00042v2 (pdf) |
| Date accepted: | 2023-03-09 |
| Date submitted: | 2023-01-14 09:00 |
| Submitted by: | Miao, Jian-Jian |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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 coexistence of symmetry breaking and topological order. The $Z_2$ symmetry breaking of matter fields leads to the intertwined antiferromagnetic spin order and $\eta$-pairing order. The topological order is reflected in the $Z_2$ 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.
List of changes
(1) The manuscript is refitted into standard SciPost format.
(2) An Appendix A “Numerical confirmation of the exact two-fold degeneracy” is added.
(3) A paragraph is added in the Discussion section to highlight the motivation of Majorana fermion representation.
(4) A paragraph is added at the end of V≠0 subsection to elaborate on the topological phase transition.
(5) A paragraph is added in the V≠0 subsection to discuss the decoupling of matter and gauge degrees of freedom in the infrared limit.
(6) The Eq. 15 is generalized to include the negative large U limit.
(7) The statement of “…folded Brillouin zone” is revised to “…magnetic Brillouin zone, which is half of square lattice Brillouin zone ”
(8) The discussions of local and global symmetries of the model are moved to the very beginning of the paper when the Hamiltonian is introduced.
(9) A paragraph is added in the Discussion section to compare and contrast with the previous literature and relevant references are cited therein.
Published as SciPost Phys. 14, 111 (2023)
Reports on this Submission
Report
I appreciate the author's consideration of the initial report. After reading the edits, I believe this manuscript is suitable for publication - there are many interesting features of the model under consideration, and it is presented in a coherent manner.