Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value
arXiv:1002.0171 · doi:10.1103/PhysRevB.83.014409
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 .
7 pages, 7 figures. Numerical calculations have been carefully performed and examined
References in corpus (9)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- The iTEBD algorithm beyond unitary evolution
- Scaling of entanglement support for Matrix Product States
- Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
- Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians
- Simplex solid states of SU(N) quantum antiferromagnets
- String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states
- Valence bond solid states with symplectic symmetry