Work

Curved domain-wall fermions

Year: 2022

Type: article

Abstract: We consider fermion systems on a square lattice with a mass term having a curved domain-wall. Like conventional flat domain-wall fermions, massless and chiral edge states appear on the wall. In the cases of S1 and S2 domain-walls embedded into flat hypercubic lattices, we find that these edge modes feel gravity through the induced spin or spinc connections. The gravitational effect is encoded in the Dirac eigenvalue spectrum as a gap from zero. In the standard continuum extrapolation of the square lattice, we find good agreement with the analytic prediction in the continuum theory. We also find that the rotational symmetry of the edge modes is automatically recovered in the continuum limit. Subject Index B38

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptac075

Authors: Shoto Aoki, Hidenori Fukaya

Institution: The University of Osaka

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid:

Funder: Japan Society for the Promotion of Science