Topological quantum phase transition in an S=2 spin chain

Abstract

We construct a model Hamiltonian for S = 2 spin chain, where a variable parameter $\alpha$ is introduced. The edge spin is S = 1 for $\alpha =0$, and S = 3/2 for $\alpha =1$. Due to the topological distinction of the edge states, these two phases must be separated by one or several topological quantum phase transitions. We investigate the nature of the quantum phase transition by DMRG calculation, and propose a phase diagram for this model.

5 pages, 4 figures

References in corpus (5)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Field Theory of Time-Reversal Invariant Insulators
• The quantum spin Hall effect and topological insulators
• Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
• Valence bond solid states with symplectic symmetry

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• Novel families of $\mathrm{SU}(N)$ AKLT states with arbitrary self-conjugate edge states
• Critical theory of the topological quantum phase transition in a spin-2 chain
• Topological Phases of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain with Frustrated Next-Nearest-Neighbour Interaction
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• Exact renormalization in quantum spin chains
• Theory of Fractionally-magnetized Quantum Ferromagnet
• Towards unambiguous calculation of the topological entropy for mixed states
• Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
• Topological Phases of Spin-1/2 Ferromagnetic--Antiferromagnetic Alternating Heisenberg Chains with Alternating Next-Nearest-Neighbour Interaction