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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 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.

Authors:
; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1564362
Alternate Identifier(s):
OSTI ID: 1469019
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Science Bulletin
Additional Journal Information:
Journal Name: Science Bulletin Journal Volume: 63 Journal Issue: 12; Journal ID: ISSN 2095-9273
Publisher:
Elsevier
Country of Publication:
China
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. China: 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. China. doi:10.1016/j.scib.2018.05.010.
Jiang, Hong-Chen, Li, Zi-Xiang, Seidel, Alexander, and Lee, Dung-Hai. Fri . "Symmetry protected topological Luttinger liquids and the phase transition between them". China. doi:10.1016/j.scib.2018.05.010.
@article{osti_1564362,
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},
number = 12,
volume = 63,
place = {China},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.scib.2018.05.010

Citation Metrics:
Cited by: 6 works
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Works referencing / citing this record:

Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
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Emergent mode and bound states in single-component one-dimensional lattice fermionic systems
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Full commuting projector Hamiltonians of interacting symmetry-protected topological phases of fermions
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Nontopological Majorana Zero Modes in Inhomogeneous Spin Ladders
journal, January 2019