# Axion topological field theory of topological superconductors

@article{Qi2013AxionTF, title={Axion topological field theory of topological superconductors}, author={Xiao-liang Qi and Edward Witten and Shou-Cheng Zhang}, journal={Physical Review B}, year={2013}, volume={87}, pages={134519} }

Topological superconductors are gapped superconductors with gapless and topologically robust quasiparticles propagating on the boundary. In this paper, we present a topological field theory description of three-dimensional time-reversal invariant topological superconductors. In our theory the topological superconductor is characterized by a topological coupling between the electromagnetic field and the superconducting phase fluctuation, which has the same form as the coupling of "axions" with…

#### 44 Citations

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#### References

SHOWING 1-3 OF 3 REFERENCES

Interaction effect on topological classification of superconductors in two dimensions

- Physics
- 2013

We introduce a new class of superconductors (SCs) in two spatial dimensions with time reversal symmetry and reflection (i.e., mirror) symmetry. In the absence of interactions, topological classes of…

The Superfluid Phases Of Helium 3

- Physics
- 1990

A comprehensive treatment of the theory of superfluid helium-3 is presented in this book. This treatment also illustrates many of the principal themes of theoretical condensed matter physics over the…

Symmetry-protected topological orders for interacting fermions -fermionic topological nonlinear sigma-models and a group super-cohomology theory

- 2012