Supersymmetry in closed chains of coupled Majorana modes

Zhao Huang, Shinji Shimasaki, Muneto Nitta

研究成果: Article査読

6 被引用数 (Scopus)


We consider a closed chain of an even number of Majorana zero modes with nearest-neighbor couplings which are different site by site generically, thus having no crystal symmetry. Instead, we demonstrate the possibility of an emergent supersymmetry (SUSY), which is accompanied by gapless fermionic excitations. In particular, the condition can be easily satisfied by tuning only one coupling, regardless of how many other couplings are there. Such a system can be realized by four Majorana modes on two parallel Majorana nanowires with their ends connected by Josephson junctions and their bodies connected by an external superconducting ring. By tuning the Josephson couplings with a magnetic flux Φ through the ring, we get the gapless excitations at ΦSUSY=±fΦ0 with Φ0=hc/2e, which is signaled by a zero-bias conductance peak in tunneling conductance. We find this f generally a fractional number and oscillating with increasing Zeeman fields that parallel to the nanowires, which provide a unique experimental signature for the existence of Majorana modes.

ジャーナルPhysical Review B
出版ステータスPublished - 2017 12月 18

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学


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