Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
arXiv:2404.18912 · doi:10.1103/PhysRevB.110.165110
Abstract
We investigate the topological properties of hardcore bosons possessing nearest-neighbor repulsive interactions on a two-leg ladder. We show that by allowing nearest neighbour dimerized interactions instead of hopping dimerization, the system exhibits topological phases and phase transitions under proper conditions. First, by assuming uniform hopping throughout the ladder, we show that when interaction along the legs are dimerized and the dimerization pattern is different in the legs, a trivial rung-Mott insulator to a topological bond order phase transition occurs as a function of the dimerization strength. However, for a fixed dimerization strength, the system exhibits a topological to trivial phase transition with increase in the rung hopping. A completely different scenario appears when the rung interaction is turned on. We obtain that for a ladder with uniform hopping, the repulsive interaction either turns the topological phase into a trivial rung-Mott insulator or a charge density wave phase. Such topological features are absent when the dimerization pattern in the nearest neighbour interaction is considered to be identical in both the legs of the ladder. We numerically obtain the ground state properties and also show the signatures of topological phase transitions through Thouless charge pumping.
15 pages, 18 figures
References in corpus (59)
- Topological Insulators
- The density-matrix renormalization group in the age of matrix product states
- Topological Photonics
- The density-matrix renormalization group
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Entanglement spectrum of a topological phase in one dimension
- Topological States and Adiabatic Pumping in Quasicrystals
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
- Topological phases of fermions in one dimension
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Observation of topologically protected bound states in a one dimensional photonic system
- Symmetry Protected Topological phases of Quantum Matter
- Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
- Interacting topological insulators: a review
- Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries
- Topological charge pumping in a one-dimensional optical lattice
- Thouless pumping and topology
- Topological orbital ladders
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
- Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
- Two-body physics in the Su-Schrieffer-Heeger model
- Characterization of a topological Mott insulator in one dimension
- Topological fractional pumping with alkaline-earth(-like) ultracold atoms
- Quantisation and its breakdown in a Hubbard-Thouless pump
- Spin pumping and measurement of spin currents in optical superlattices
- Multi-particle Wannier states and Thouless pumping of interacting bosons
- Topological charge pumping in the interacting bosonic Rice-Mele model
- A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
- Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
- Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
- Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
- Topological quantum critical points in the extended Bose-Hubbard model
- Topological charge pumping of bound bosonic pairs
- Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
- Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
- Two-body bound and edge states in the extended SSH Bose-Hubbard model
- Numerical study of critical properties and hidden orders in dimerized spin ladders
- Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
- Radiative topological biphoton states in modulated qubit arrays
- Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
- Focus on topological quantum computation
- Phase diagram of an interacting staggered Su-Schrieffer-Heeger two-chain ladder close to a quantum critical point
- Topological inheritance in half-SSH Hubbard models
- Interaction driven polarization shift in the lattice fermion model at half filling: emergent Haldane phase
- Symmetry-Enriched Criticality in a Coupled Spin-Ladder
- Realizing a symmetry protected topological phase through dimerized interactions
- Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
- Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
- Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
- Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model