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Title: Symmetry protected topological Luttinger liquids and the phase transition between them

Abstract

Here, 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 d xy in the non-trivial phase and triplet S z = 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.

Authors:
 [1];  [2];  [3];  [4]
  1. SLAC and Stanford Univ., Menlo Park, CA (United States)
  2. Univ. of California, Berkeley, CA (United States)
  3. Washington Univ., St. Louis, MO (United States)
  4. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1469019
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Science Bulletin
Additional Journal Information:
Journal Volume: 63; Journal Issue: 12; Journal ID: ISSN 2095-9273
Publisher:
Elsevier; Science China Press
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Topological Luttinger liquids; Symmetry protected topological phase; Phase transition; Superconductivity; Density-matrix renormalization group

Citation Formats

Jiang, Hong -Chen, Li, Zi -Xiang, Seidel, Alexander, and Lee, Dung -Hai. Symmetry protected topological Luttinger liquids and the phase transition between them. United States: N. p., 2018. Web. doi:10.1016/j.scib.2018.05.010.
Jiang, Hong -Chen, Li, Zi -Xiang, Seidel, Alexander, & Lee, Dung -Hai. Symmetry protected topological Luttinger liquids and the phase transition between them. United States. doi:10.1016/j.scib.2018.05.010.
Jiang, Hong -Chen, Li, Zi -Xiang, Seidel, Alexander, and Lee, Dung -Hai. Thu . "Symmetry protected topological Luttinger liquids and the phase transition between them". United States. doi:10.1016/j.scib.2018.05.010. https://www.osti.gov/servlets/purl/1469019.
@article{osti_1469019,
title = {Symmetry protected topological Luttinger liquids and the phase transition between them},
author = {Jiang, Hong -Chen and Li, Zi -Xiang and Seidel, Alexander and Lee, Dung -Hai},
abstractNote = {Here, 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.},
doi = {10.1016/j.scib.2018.05.010},
journal = {Science Bulletin},
issn = {2095-9273},
number = 12,
volume = 63,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
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