Reply to Comment on Phys. Rev. Lett. 127, 176601 (2021) by Lee and Yang

Abstract

In this Reply, we respond to the comments in Phys. Rev. Lett. 130, 219702 (2023) on our Phys. Rev. Lett. 127, 176601 (2021) ''Coulomb instabilities of a three-Dimensional higher-order topological insulator". We show the surface gap given in Phys. Rev. Lett. 130, 219701 (2023) is different from the expression derived by using the well-accepted approach and becomes divergent and singular at lower energies, thus is not suitable for depicting the phase transition from the 2nd-order to 1st-order topological insulator. We further show that a correct surface gap can describe the phase transition if the RG scheme treats the bulk gap as starting point. We justify our criteria in Phys. Rev. Lett. 127, 176601 (2021) for both the transitions from 2nd-order topological insulator to 1st-order topological insulator and normal insulator.

arXiv comment3 pages,1 figure. A long version with the detailed calculations

References in corpus (5)

• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Topological insulator and the Dirac equation
• Coulomb instabilities of 3D higher-order topological insulators
• Comment on "Coulomb Instabilities of a Three-Dimensional Higher-Order Topological Insulator"