First-Order Topological Quantum Phase Transition in a Strongly Correlated Ladder

Abstract

We report on the discovery of a quantum tri-critical point (QTP) separating a line of first-order topological quantum phase transitions from a continuous transition regime in a strongly correlated one-dimensional lattice system. Specifically, we study a fermionic four-leg ladder supporting a symmetry-protected topological phase in the presence of on-site interaction, which is driven towards a trivial gapped phase by a nearest-neighbor interaction. Based on DMRG simulations, we show that, as a function of the interaction strength, the phase transition between the topological and the trivial phase switches from being continuous to exhibiting a first-order character. Remarkably, the QTP as well as the first-order character of the topological transition in the strongly correlated regime are found to clearly manifest in simple local observables.

References in corpus (41)

• Topological Insulators
• Topological insulators and superconductors
• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Entanglement spectrum of a topological phase in one dimension
• Measuring entanglement entropy through the interference of quantum many-body twins
• Zoo of quantum-topological phases of matter
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Quantum phase transitions
• Single-Spin Addressing in an Atomic Mott Insulator
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological Mott Insulators
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Entanglement spectrum of topological insulators and superconductors
• Interacting topological insulators: a review
• Quantum simulation of an extra dimension
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Spin-orbit coupled fermions in an optical lattice clock
• Tricritical Behavior in the Extended Hubbard Chains
• Correlation effects in two-dimensional topological insulators
• Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
• Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• First order character and observable signatures of topological quantum phase transitions
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Quantum phase diagram of the integrable p_x+ip_y fermionic superfluid
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Fluctuation driven topological Hund insulators
• Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
• Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
• Single-site- and single-atom-resolved measurement of correlation functions
• The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram and Thermodynamics
• Continuous and discontinuous topological quantum phase transitions
• First order topological phase transition of the Haldane--Hubbard model
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Staircase to Higher-Order Topological Phase Transitions
• Criticality at the Haldane-insulator charge-density-wave quantum phase transition

Cited by in corpus (14)

• Intertwined Topological Phases induced by Emergent Symmetry Protection
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Intrinsic Jump Character of the First-Order Quantum Phase Transitions
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• A real-space many-body marker for correlated ${\mathbb{Z}}_2$ topological insulators
• Impact of correlations on topology in Kane-Mele model decorated with impurities
• Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Topological Phase Transition in the Two-Leg Hubbard Model: Emergence of the Haldane Phase via Diagonal Hopping and Strong Interactions
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems