Unpaired Majorana modes in the gapped phase of Kitaev's honeycomb model

被引：18

作者：

Petrova, Olga ^{[1
]}

Mellado, Paula ^{[2
]}

Tchernyshyov, Oleg ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Phys & Astron, Baltimore, MD 21218 USA

[2] Adolfo Ibanez Univ, Sch Engn & Appl Sci, Santiago, Chile

来源：

PHYSICAL REVIEW B | 2013年 / 88卷 / 14期

基金：

美国国家科学基金会;

关键词：

ANYONS;

D O I：

10.1103/PhysRevB.88.140405

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the gapped phase of Kitaev's honeycomb model (a Z(2) spin liquid) in the presence of lattice defects. We find that some dislocations and bond defects carry unpaired Majorana fermions. Physical excitations associated with these defects are (complex) fermion modes made out of two (real) Majorana fermions connected by a Z(2) gauge string. The quantum state of these modes is robust against local noise and can be changed by winding a Z(2) vortex around a dislocation. The exact solution respects gauge invariance and reveals a crucial role of the gauge field in the physics of Majorana modes.

引用

页数：4

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