Journal
PHYSICAL REVIEW B
Volume 87, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.87.235106
Keywords
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Funding
- ARO Optical Lattice Emulator program
- der Max-Planck-Gesellschaft
- NSF GRFP Grant [DGE 1106400]
- NSF [DMR-0804413]
- Sherman Fairchild Foundation
- DOE BES DMSE
- Division Of Physics
- Direct For Mathematical & Physical Scien [1125565] Funding Source: National Science Foundation
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We study the ground-state phase diagram of the quantum spin-2XXZ chain in the presence of on-site anisotropy using a matrix-product state based infinite-system density matrix renormalization group (iDMRG) algorithm. One of the interests in this system is in connecting the highly quantum-mechanical spin-1 phase diagram with the classical S = infinity phase diagram. Several of the recent advances within DMRG make it possible to perform a detailed analysis of the whole phase diagram. We consider different types of on-site anisotropies, which allows us to establish the validity of the following statements: (1) the spin-2 model can be tuned into a phase, which is equivalent to the topologically nontrivial spin-1 Haldane phase, and (2) the spin-2 Haldane phase at the isotropic Heisenberg point is adiabatically connected to the trivial large-D phase, with a continuous change of the Hamiltonian parameters. Furthermore, we study the spin-3 XXZ chain to help explain the development of the classical phase diagram. We present details on how to use the iDMRG method to map out the phase diagram and include an extensive discussion of the numerical methods.
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