Fragility of Symmetry Protected Topological Order on a Hubbard Ladder
arXiv:1412.6814 · doi:10.1103/PhysRevB.91.155128
Abstract
Anfuso and Rosch [Phys. Rev. B 75, 144420 (2007)] showed that the "topological" Haldane phase in a fermionic spin-1/2 ladder can be continuously deformed into a "trivial" phase without explicitly breaking symmetries when local charge fluctuations are taken into account. Within the framework of symmetry protected topological phases, we revisit the model and demonstrate how the Haldane phase can be adiabatically connected to a trivial phase due to charge fluctuations. Furthermore, we show that the Haldane phase remains stable as long as the system is symmetric under particular reflection symmetries.
7 pages, 4 figures
References in corpus (7)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Matrix product states represent ground states faithfully
- String order and symmetries in quantum spin lattices
- Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
- On topological phases of spin chains
- Interaction effects on 1D fermionic symmetry protected topological phases