Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 49, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/49/30/30LT01
Keywords
zero modes; Majorana; eigenstate phase transition
Categories
Funding
- National Science Foundation [PHY11-25915]
- EPSRC [EP/N01930X/1] Funding Source: UKRI
Ask authors/readers for more resources
I explicitly construct a strong zero mode in the XYZ chain or, equivalently, Majorana wires coupled via a four-fermion interaction. The strong zero mode is an operator that pairs states in different symmetry sectors, resulting in identical spectra up to exponentially small finite-size corrections. Such pairing occurs in the Ising/Majorana fermion chain and possibly in strongly disordered many-body localized phases. The proof here shows that the strong zero mode occurs in a clean interacting system, and that it possesses some remarkable structure-despite being a rather elaborate operator, it squares to the identity. Eigenstate phase transitions separate regions with different strong zero modes.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available