Criticality at the Haldane-insulator charge-density-wave quantum phase transition

Abstract

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of the one-dimensional half-filled extended Hubbard model give way to a symmetry-protected topological Haldane state in case an additional alternating ferromagnetic spin interaction is added. In the Haldane insulator the lowest entanglement level features a characteristic twofold degeneracy. Increasing the ratio between nearest-neighbor and local Coulomb interaction $V/U$, the enhancement of the entanglement entropy, the variation of the charge, spin and neutral gaps, and the dynamical spin/density response signal a quantum phase transition to a charge-ordered state. Below a critical point, which belongs to the universality class of the tricritical Ising model with central charge 7/10, the model is critical with $c=1/2$ along the transition line. Above this point, the transition between the Haldane insulator and charge-density-wave phases becomes first order.

5 pages, 5 figures, revised and extended version

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Cited by in corpus (13)

• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
• Density waves in strongly correlated quantum chains
• First-Order Topological Quantum Phase Transition in a Strongly Correlated Ladder
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Estimating the central charge from the Rényi entanglement entropy
• Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy
• Quantum phase transitions in the dimerized extended Bose-Hubbard model
• 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
• Singlet exciton condensation and bond-order-wave phase in the extended Hubbard model
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Critical behavior of the extended Hubbard model with bond dimerization
• Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model