Critical theory of the topological quantum phase transition in a spin-2 chain

Abstract

We systematically study the phase diagram of S=2 spin chain, by means of density-matrix renormalization group and exact diagonalization methods and confirm the presence of a dimer phase in the AKLT--SZH model. We find that the whole phase boundary between the dimer and SZH phases, including the multicritical point, is a critical line with the same central charge $c=5/2$. Finally, we propose and confirm that this line can be described by the $\mathrm{SO}(5{)}_1$ Wess-Zumino-Witten (WZW) conformal field theory.

4.25 pages, 5 figures

References in corpus (10)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum of a topological phase in one dimension
• The quantum spin Hall effect and topological insulators
• Non-local order in gapless systems: Entanglement Spectrum in Spin Chains
• Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
• Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids
• DMRG studies of critical SU(N) spin chains
• String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states
• Valence bond solid states with symplectic symmetry
• Topological quantum phase transition in an S=2 spin chain

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• Topological Phase Transitions for Interacting Finite Systems
• Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices
• Critical theories of phase transition between symmetry protected topological states and their relation to the gapless boundary theories
• Parity quantum numbers in the Density Matrix Renormalization Group
• Entanglement Spectroscopy using Quantum Monte Carlo
• Spin waves and magnetic exchange interactions in the spin ladder compound RbFe${}_2$Se${}_3$
• Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain
• Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy
• Novel families of $\mathrm{SU}(N)$ AKLT states with arbitrary self-conjugate edge states
• Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
• All spin-1 topological phases in a single spin-2 chain
• Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
• Haldane and Dimer phases in a frustrated spin chain: an exact groundstate and associated topological phase transition