Topological Phase Transition in the Two-Leg Hubbard Model: Emergence of the Haldane Phase via Diagonal Hopping and Strong Interactions

Abstract

We investigate the two-leg Hubbard model with diagonal hopping to explore the interplay between geometrical frustration and strong electron-electron interactions. Using the Density Matrix Renormalization Group (DMRG) method, we demonstrate the emergence of a topological Haldane phase, which results explicitly from the complementary effects of diagonal hopping-induced frustration and strong on-site Coulomb repulsion. The topological phase transition from a trivial insulator to the nontrivial Haldane phase is characterized by significant changes in magnetic properties, edge correlations, and the appearance of a nonzero string order parameter. Furthermore, we confirm the topological nature of this phase through a detailed analysis of the spin gap and entanglement spectrum, demonstrating clear signatures of symmetry-protected topological order.

arXiv comment12 pages, 16 figures

References in corpus (20)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement spectrum of a topological phase in one dimension
• Topological Bands for Ultracold Atoms
• Symmetry protection of topological order in one-dimensional quantum spin systems
• Schrieffer-Wolff transformation for quantum many-body systems
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Finite-lattice extrapolations for a Haldane gap antiferromagnet
• Magnetization plateaux and jumps in a class of frustrated ladders: A simple route to a complex behaviour
• First order character and observable signatures of topological quantum phase transitions
• Fluctuation driven topological Hund insulators
• String order and adiabatic continuity of Haldane chains and band insulators
• Edge states in Open Antiferromagnetic Heisenberg Chains
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Fragility of Symmetry Protected Topological Order on a Hubbard Ladder
• First-Order Topological Quantum Phase Transition in a Strongly Correlated Ladder
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain
• Transition to the Haldane phase driven by electron-electron correlations