Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value

Abstract

We propose a simple one-dimensional spin-2 Hamiltonian, which exhibits two topologically distinct valence bond solid states in different exactly solvable limits. We then construct the phase diagram and study the quantum phase transition between these states using the infinite time evolving block decimation algorithms. From the scaling relation between the entanglement entropy and correlation length, we find that the central charge for the underlying critical conformal field theory is $c=2$.

7 pages, 7 figures. Numerical calculations have been carefully performed and examined

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Cited by in corpus (14)

• Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling
• 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
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• 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
• All spin-1 topological phases in a single spin-2 chain
• Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States -- Super-Matrix Product State Formalism
• Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain
• 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