Z4 parafermions in one-dimensional fermionic lattices

被引：32

作者：

Calzona, Alessio ^{[1
,2
,3
]}

Meng, Tobias ^{[4
]}

Sassetti, Maura ^{[2
,3
]}

Schmidt, Thomas L. ^{[1
]}

机构：

[1] Univ Luxembourg, Phys & Mat Sci Res Unit, L-1511 Luxembourg, Luxembourg

[2] Univ Genoa, Dipartimento Fis, Via Dodecaneso 33, I-16146 Genoa, Italy

[3] CNR, SPIN, Via Dodecaneso 33, I-16146 Genoa, Italy

[4] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany

来源：

PHYSICAL REVIEW B | 2018年 / 98卷 / 20期

关键词：

BOND-CHARGE REPULSION; MAJORANA FERMIONS; HUBBARD-MODEL;

D O I：

10.1103/PhysRevB.98.201110

中图分类号：

T [工业技术];

学科分类号：

08 ;

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.

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页数：6

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