Majorana corner modes in a second-order Kitaev spin liquid

被引：44

作者：

Dwivedi, Vatsal ^{[1
]}

Hickey, Ciaran ^{[1
]}

Eschmann, Tim ^{[1
]}

Trebst, Simon ^{[1
]}

机构：

[1] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

来源：

PHYSICAL REVIEW B | 2018年 / 98卷 / 05期

关键词：

QUADRUPOLAR FRUSTRATION; TOPOLOGICAL INSULATORS; GROUND-STATE; LATTICE; DYB4;

D O I：

10.1103/PhysRevB.98.054432

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Higher-order topological insulators are distinguished by the existence of topologically protected modes with codimension two or higher. Here, we report the manifestation of a second-order topological insulator in a two dimensional frustrated quantum magnet, which exhibits topological corner modes. Our exactly solvable model is a generalization of the Kitaev honeycomb model to the Shastry-Sutherland lattice that, besides a chiral spin liquid phase, exhibits a gapped spin liquid with Majorana corner modes, which are protected by two mirror symmetries. This second-order Kitaev spin liquid remains stable in the presence of thermal fluctuations and undergoes a finite-temperature phase transition evidenced in large-scale quantum Monte Carlo simulations.

引用

页数：9

共 51 条

[21] FLUX PHASE OF THE HALF-FILLED BAND [J].

LIEB, EH .

PHYSICAL REVIEW LETTERS, 1994, 73 (16) :2158-2161

[22] Exactly solvable Kitaev model in three dimensions [J].

Mandal, Saptarshi ;

Surendran, Naveen .

PHYSICAL REVIEW B, 2009, 79 (02)

[23] Maximally localized Wannier functions: Theory and applications [J].

Marzari, Nicola ;

Mostofi, Arash A. ;

Yates, Jonathan R. ;

Souza, Ivo ;

Vanderbilt, David .

REVIEWS OF MODERN PHYSICS, 2012, 84 (04) :1419-1475

[24] Finite-temperature phase transition to a Kitaev spin liquid phase on a hyperoctagon lattice: A large-scale quantum Monte Carlo study [J].

Mishchenko, Petr A. ;

Kato, Yasuyuki ;

Motome, Yukitoshi .

PHYSICAL REVIEW B, 2017, 96 (12)

[25] Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor [J].

Nadj-Perge, Stevan ;

Drozdov, Ilya K. ;

Li, Jian ;

Chen, Hua ;

Jeon, Sangjun ;

Seo, Jungpil ;

MacDonald, Allan H. ;

Bernevig, B. Andrei ;

Yazdani, Ali .

SCIENCE, 2014, 346 (6209) :602-607

[26] Time-reversal symmetric Kitaev model and topological superconductor in two dimensions [J].

Nakai, R. ;

Ryu, S. ;

Furusaki, A. .

PHYSICAL REVIEW B, 2012, 85 (15)

[27] Thermodynamics of Chiral Spin Liquids with Abelian and Non-Abelian Anyons [J].

Nasu, Joji ;

Motome, Yukitoshi .

PHYSICAL REVIEW LETTERS, 2015, 115 (08)

[28] Vaporization of Kitaev Spin Liquids [J].

Nasu, Joji ;

Udagawa, Masafumi ;

Motome, Yukitoshi .

PHYSICAL REVIEW LETTERS, 2014, 113 (19)

[29] Bond algebras and exact solvability of Hamiltonians: Spin S=1/2 multilayer systems [J].

Nussinov, Zohar ;

Ortiz, Gerardo .

PHYSICAL REVIEW B, 2009, 79 (21)

[30] Classification of gapless Z2 spin liquids in three-dimensional Kitaev models [J].

O'Brien, Kevin ;

Hermanns, Maria ;

Trebst, Simon .

PHYSICAL REVIEW B, 2016, 93 (08)

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