Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study
Abstract
We study the ground-state phase diagram of the quantum spin-2 XXZ 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=∞ 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.
Additional Information
© 2013 American Physical Society. Received 26 March 2013; revised manuscript received 17 May 2013; published 6 June 2013. We acknowledge Joel E. Moore, Luis Seabra, and Stephan Rachel for useful conversations, and especially Masaki Oshikawa for suggesting the inclusion of the D_4 term in our study. This work is supported by the ARO Optical Lattice Emulator program (J.K.), der Max-Planck-Gesellschaft (J.K. and F.P.), NSF GRFP Grant DGE 1106400 (M.P.Z.), NSF DMR-0804413 and Sherman Fairchild Foundation (R.M.), and DOE BES DMSE (J.H.B.).Attached Files
Published - PhysRevB.87.235106.pdf
Submitted - 1212.6255v1.pdf
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Additional details
- Eprint ID
- 39430
- Resolver ID
- CaltechAUTHORS:20130718-075016486
- Army Research Office (ARO) Optical Lattice Emulator program
- der Max-Planck-Gesellschaft
- DGE 1106400
- NSF GRFP
- DMR-0804413
- NSF
- Sherman Fairchild Foundation
- Department of Energy (DOE) Basic Energy Sciences (BES) Materials Sciences and Engineering (MSE) Division
- Created
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2013-07-18Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field