# Real-space recipes for general topological crystalline states

@article{Song2020RealspaceRF, title={Real-space recipes for general topological crystalline states}, author={Z. Song and C. Fang and Y. Qi}, journal={Nature Communications}, year={2020}, volume={11} }

Topological crystalline states (TCSs) are short-range entangled states jointly protected by onsite and crystalline symmetries. Here we present a unified scheme for constructing all TCSs, bosonic and fermionic, free and interacting, from real-space building blocks and connectors. Building blocks are lower-dimensional topological states protected by onsite symmetries alone, and connectors are glues that complete the open edges shared by two or multiple building blocks. The resulted assemblies are… CONTINUE READING

5 Citations

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 109 REFERENCES

Classification and construction of higher-order symmetry protected topological phases of interacting bosons

- Physics
- 2018

8

Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations

- Physics
- 2011

139

Gauging Spatial Symmetries and the Classification of Topological Crystalline Phases

- Physics, Mathematics
- 2017

62