Z(4) parafermions in one-dimensional fermionic lattices

Article

关键词: BOND-CHARGE REPULSION;    MAJORANA FERMIONS;    HUBBARD-MODEL;   

DOI  :  10.1103/PhysRevB.98.201110

来源: SCIE

【 摘 要 】

Parafermions are emergent excitations which generalize Majorana fermions and are potentially relevant to topological quantum computation. Using the concept of Fock parafermions, we present a mapping between lattice Z(4) parafermions and lattice spin-1/2 fermions which preserves the locality of operators with Z(4) symmetry. Based on this mapping, we construct an exactly solvable, local, and interacting one-dimensional fermionic Hamiltonian which hosts zero-energy modes obeying parafermionic algebra. We numerically show that this parafermionic phase remains stable in a wide range of parameters, and discuss its signatures in the fermionic spectral function.

【 授权许可】

Free