Symmetry protected topological Luttinger liquids and the phase transition between them

被引：0

作者：

HongChen Jiang ^{[1
]}

ZiXiang Li ^{[2
]}

Alexander Seidel ^{[3
]}

DungHai Lee ^{[2
,4
]}

机构：

[1] Stanford Institute for Materials and Energy Science,SLAC and Stanford University

[2] Department of Physics,University of California

[3] Department of Physics,Washington University

[4] Materials Sciences Division,Lawrence Berkeley National Laboratory

来源：

Science Bulletin | 2018年 / 63卷 / 12期

关键词：

Topological Luttinger liquids; Symmetry protected topological phase; Phase transition; Superconductivity; Density-matrix renormalization group;

D O I：

暂无

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We show that a doped spin-1/2 ladder with antiferromagnetic intra-chain and ferromagnetic inter-chain coupling is a symmetry protected topologically non-trivial Luttinger liquid.Turning on a large easy-plane spin anisotropy drives the system to a topologically-trivial Luttinger liquid.Both phases have full spin gaps and exhibit power-law superconducting pair correlation.The Cooper pair symmetry is singlet dxy in the non-trivial phase and triplet Sz? 0 in the trivial phase.The topologically non-trivial Luttinger liquid exhibits gapless spin excitations in the presence of a boundary,and it has no non-interacting or mean-field theory analog even when the fluctuating phase in the charge sector is pinned.As a function of the strength of spin anisotropy there is a topological phase transition upon which the spin gap closes.We speculate these Luttinger liquids are relevant to the superconductivity in metalized integer spin ladders or chains.

引用

页码：753 / 758

页数：6

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