Symmetry protected topological Luttinger liquids and the phase transition between them

Jiang, Hong-Chen; Li, Zi-Xiang; Seidel, Alexander; Lee, Dung-Hai

doi:10.1016/j.scib.2018.05.010

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:: Jiang, Hong-Chen; Li, Zi-Xiang; Seidel, Alexander; Lee, Dung-Hai

Publication Date:: Fri Jun 01 00:00:00 EDT 2018

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.

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                    Jiang, Hong-Chen, Li, Zi-Xiang, Seidel, Alexander, & Lee, Dung-Hai. Symmetry protected topological Luttinger liquids and the phase transition between them.  China.  https://doi.org/10.1016/j.scib.2018.05.010

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                    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.  https://doi.org/10.1016/j.scib.2018.05.010.

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@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         = {Fri Jun 01 00:00:00 EDT 2018},

  month        = {Fri Jun 01 00:00:00 EDT 2018}

}

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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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DOI: 10.1103/physrevb.100.201101

Full commuting projector Hamiltonians of interacting symmetry-protected topological phases of fermions
journal, October 2018

Tantivasadakarn, Nathanan; Vishwanath, Ashvin
Physical Review B, Vol. 98, Issue 16
DOI: 10.1103/physrevb.98.165104

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