Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session D65: Topological Superconductivity in Nanowires
3:00 PM–5:48 PM,
Monday, March 14, 2022
Room: Hyatt Regency Hotel -Grant Park C
Chair: Christian Volk, RWTH Aachen University
Abstract: D65.00006 : Extended quantum-mechanical supersymmetry in Majorana nanowires*
4:24 PM–4:36 PM
(Univ of Tokyo)
(Univ of Tokyo)
In our recent works[1,2], we provide the first experimentally accessible example of extended SUSY with central charges and partial spontaneous SUSY breaking in condensed matter. Specifically, we describe the realization of a periodic chain of partially-overlapping 0D Majorana modes in 1D Majorana nanowires, by applying periodically and spatially modulated potentials or magnetic fields. This system realizes a 1D Majorana dispersive fermion which we identify with the Nambu-Goldstone mode (Goldstino) of the spontaneously and partially broken SUSY. Notice that the famous Witten's no-go theorem prohibiting partial SUSY breaking can be evaded only by the presence of a central extension in the extended SUSY algebra, and our model indeed includes a central extension. Despite the several proposals to realize SUSY in condensed matter, our proposal gives the first condensed matter realization of an extended SUSY with central extensions.
 Marra, Inotani, Nitta, arXiv:2106.09039;
 Marra, Inotani, Nitta, arXiv:2106.09047.
*We acknowledge the Japan Science and Technology Agency (JST) CREST Grant. No. JPMJCR19T2, Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Early-Career Scientists (KAKENHI) Grant No. 20K14375, and the JSPS Grant-in-Aid for Scientific Research (KAKENHI) Grant Number 18H01217.
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