Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy
arXiv:1107.2911 · doi:10.1103/PhysRevB.84.140407
Abstract
We provide evidence of an intermediate Haldane phase in a spin-2 quantum chain. By combining effective field theory and numerical approaches, we show that the phase diagram of the proposed model includes SO(5) Haldane, intermediate Haldane, and large-D phases. We determine the characteristic properties of these phases, including edge states, string order parameters, and degeneracies in the entanglement spectrum. The symmetries responsible for the degeneracy patterns observed in the entanglement spectrum are also discussed.
5 pages, 3 figures, references added, published version
References in corpus (11)
- 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
- The iTEBD algorithm beyond unitary evolution
- String order and symmetries in quantum spin lattices
- Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
- Topological Classification of Gapped Spin Chains :Quantized Berry Phase as a Local Order Parameter
- String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states
- Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain
- Effective field theory for the SO(n) bilinear-biquadratic spin chain
- Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value
Cited by in corpus (15)
- The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
- Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
- Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
- Parity quantum numbers in the Density Matrix Renormalization Group
- Haldane Topological Orders in Motzkin Spin Chains
- The classical two-dimensional Heisenberg model revisited: An -symmetric tensor network study
- Quantum Entanglement and Topological Order in Hole-Doped Valence Bond Solid States
- All spin-1 topological phases in a single spin-2 chain
- Tangential finite-size scaling of the Gaussian topological transition in the quantum spin-1 anisotropic chain
- Long-range magnetic order and interchain interactions in the chain system MnCl(bpy)
- Antiferromagnetic Ordering in MnF(salen)
- Symmetry-protected intermediate trivial phases in quantum spin chains
- Bulk-Edge correspondence of entanglement spectrum in 2D spin ground states
- Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
- S=2 Quantum Spin Chain with the Biquadratic Exchange Interaction