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Symmetry protected topological Luttinger liquids and the phase transition between them | | Hong-Chen Jiang
; Zi-Xiang Li
; Alexander Seidel
; Dung-Hai Lee
; | | Date: |
10 Apr 2017 | | Abstract: | 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. | | Source: | arXiv, 1704.2997 | | Services: | Forum | Review | PDF | Favorites | |
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