Emergent infinite-randomness fixed points from the extensive random bipartitions of the spin-1 Affleck-Kennedy-Lieb-Tasaki topological state

被引：1

作者：

Lu, Min ^{[1
]}

Rao, Wen-Jia ^{[1
]}

Narayanan, Rajesh ^{[2
,3
]}

Wan, Xin ^{[1
,4
]}

Zhang, Guang-Ming ^{[5
,6
,7
]}

机构：

[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China

[2] Indian Inst Technol, Dept Phys, Madras 600036, Tamil Nadu, India

[3] Asia Pacific Ctr Theoret Phys, Pohang 790784, Gyeongbuk, South Korea

[4] Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China

[5] Tsinghua Univ, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China

[6] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China

[7] Collaborat Innovat Ctr Quantum Matter, Beijing 100084, Peoples R China

来源：

PHYSICAL REVIEW B | 2016年 / 94卷 / 21期

关键词：

PHASE-TRANSITION; CHAINS;

D O I：

10.1103/PhysRevB.94.214427

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Quantum entanglement under an extensive bipartition can reveal the critical boundary theory of a topological phase in a parameter space. In this study we demonstrate that the infinite-randomness fixed point for spin-1/2 degrees of freedom can emerge from an extensive random bipartition of the spin-1 Affleck-Kennedy-Lieb-Tasaki chain. The nested entanglement entropy of the ground state of the reduced density matrix exhibits a logarithmic scaling with an effective central charge (c) over bar = 0.72 +/- 0.02 approximate to ln 2. We further discuss, in the language of bulk quantum entanglement, how to understand all phase boundaries and the surrounding Griffiths phases for the antiferromagnetic Heisenberg spin-1 chain with quenched disorder and dimerization.

引用

页数：6