$Z_4$ parafermion $\pm \pi/2$ modes in interacting periodically driven superconducting chain

• URL: http://arxiv.org/abs/2106.15124v2
• Date: Wed, 29 Sep 2021 23:35:41 GMT
• Title: $Z_4$ parafermion $\pm \pi/2$ modes in interacting periodically driven superconducting chain
• Authors: Raditya Weda Bomantara
• Abstract summary: Parafermion edge modes emerge in periodically driven superconducting chain. $pm pi/ (2T)$ quasienergy excitations arise from interplay between interaction effect and periodic driving.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically report the emergence of $Z_4$ parafermion edge modes in a periodically driven spinful superconducting chain with modest fermionic Hubbard interaction. These parafermion edge modes represent $\pm \pi/(2T)$ quasienergy excitations ($T$ being the driving period), which have no static counterpart and arise from the interplay between interaction effect and periodic driving. At special parameter values, these exotic quasiparticles can be analytically and exactly derived. Strong numerical evidence of their robustness against variations in parameter values and spatial disorder is further presented. Our proposal offers a route toward realizing parafermions without fractional quantum Hall systems or complicated interactions.

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