Effective field theories of topological crystalline insulators and topological crystals
Journal
Physical Review B
Journal Volume
105
Journal Issue
4
Date Issued
2022
Author(s)
Huang S.-J.; Hsieh C.-T.; Yu J.
Abstract
We present a general approach to obtain effective field theories for topological crystalline insulators whose low-energy theories are described by massive Dirac fermions. We show that these phases are characterized by the responses to spatially dependent mass parameters with interfaces. These mass interfaces implement the dimensional reduction procedure such that the state of interest is smoothly deformed into a topological crystal, which serves as a representative state of a phase in the general classification. Effective field theories are obtained by integrating out the massive Dirac fermions, and various quantized topological terms are uncovered. Our approach can be generalized to other crystalline symmetry-protected topological phases and provides a general strategy to derive effective field theories for such crystalline topological phases. © 2022 American Physical Society.
Subjects
Interface states; Topology; Crystalline insulators; Crystalline symmetry; Dimensional reduction; Dirac fermions; Effective field theory; Lower energies; Mass parameter; Topological phase; Crystals
SDGs
Other Subjects
Interface states; Topology; Crystalline insulators; Crystalline symmetry; Dimensional reduction; Dirac fermions; Effective field theory; Lower energies; Mass parameter; Topological phase; Crystals
Publisher
American Physical Society
Type
journal article