Curved domain-wall fermions

Author:

Aoki Shoto1,Fukaya Hidenori1

Affiliation:

1. Department of Physics, Osaka University , Toyonaka, Osaka 560-0043 , Japan

Abstract

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

Funder

SCOAP

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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