Symmetry-protected topological phases in spin ladders with two-body interactions
Name
Liu-2012-Symmetry-protected topological.pdf
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Author(s)
Liu, Zheng-Xin
Yang, Zhen-Biao
Han, Yong-Jian
Yi, Wei
Wen, Xiao-Gang
Date Issued
November 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Liu, Zheng-Xin, Zhen-Biao Yang, Yong-Jian Han, Wei Yi, and Xiao-Gang Wen. “Symmetry-Protected Topological Phases in Spin Ladders with Two-Body Interactions.” Phys. Rev. B 86, no. 19 (November 2012). ©2012 American Physical Society.
Version
Final published version
Abstract
Spin-1/2 two-legged ladders respecting interleg exchange symmetry σ and spin rotation symmetry D2 have new symmetry-protected topological (SPT) phases which are different from the Haldane phase. Three of the new SPT phases are tx,ty,tz, which all have symmetry-protected twofold degenerate edge states on each end of an open chain. However, the edge states in different phases have different responses to magnetic field. For example, the edge states in the tz phase will be split by the magnetic field along the z direction, but not by the fields in the x and y directions. We give the Hamiltonian that realizes each SPT phase and demonstrate a proof-of-principle quantum simulation scheme for Hamiltonians of the t0 and tz phases based on the coupled-QED-cavity ladder.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.86.195122
