Multihole edge states in Su-Schrieffer-Heeger chains with interactions

Abstract

We address the effect of nearest-neighbor (NN) interactions on the topological properties of the Su-Schrieffer-Heeger (SSH) chain, with alternating hopping amplitudes t1 and t2. Both numerically and analytically, we show that the presence of interactions induces phase transitions between topologically different regimes. In the particular case of one-hole excitations in a half-filled SSH chain, the V=t2 vs. t1=t2 phase diagram has topological phases at diagonal regions of the phase plane. The interaction acts in this case as a passivation potential. For general filling of the SSH chain, different eigensubspaces of the SSH Hamiltonian may be classified as topologically trivial and non-trivial. The two-hole case is studied in detail in the large interaction limit, and we show that a mapping can be constructed of the two-hole SSH eigensubspaces into one-particle states of a non-interacting one-dimensional (1D) tight-binding model, with interfaces between regions with different hopping constants and local potentials. The presence of topological edge states in the equivalent chain can be readily identifed, as well as their correspondence to the original two-hole states. Furthermore, we found that the presence of the NN interaction generates a state where two holes occupy two consecutive edge states. Such many-body states should also occur for arbitrary filling leading to the possibility of a macroscopic hole gathering at the surface (at consecutive edge states).

arXiv comment7 pages, 4 figures

References in corpus (21)

• Berry Phase Effects on Electronic Properties
• Spin-lattice coupling in frustrated antiferromagnets
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Two-particle states in the Hubbard model
• Phase diagram of the one-dimensional extended Hubbard model at quarter filling
• Phase diagram of the one-dimensional extended Hubbard model with attractive and/or repulsive interactions at quarter filling
• Two-body physics in the Su-Schrieffer-Heeger model
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Topological phase in one-dimensional interacting fermion system
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Long-range doublon transfer in a dimer chain induced by topology and ac fields
• Fractional topological phase in one-dimensional flatbands with nontrivial topology
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology
• Dimer of two bosons in a one-dimensional optical lattice
• Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
• Dynamical simulations of polaron transport in conjugated polymers with the inclusion of electron-electron interactions
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Resonant invisibility with finite range interacting fermions

Cited by in corpus (32)

• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• One-dimensional $2^n$-root topological insulators and superconductors
• Topological two-body bound states in the interacting Haldane model
• Stabilizing multiple topological fermions on a quantum computer
• $2^n$-root weak, Chern, and higher-order topological insulators, and $2^n$-root topological semimetals
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Interaction-induced topological properties of two bosons in flat-band systems
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Topological bound states in interacting Su-Schrieffer-Heeger rings
• Two-body bound and edge states in the extended SSH Bose-Hubbard model
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Many-body Aharonov-Bohm caging in a lattice of rings
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Topological insulators and superconductors based on $p$-wave magnets,electrical control and detection of a domain wall
• Bosonization of the interacting Su-Schrieffer-Heeger model
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
• Electric circuit emulation of topological transitions driven by quantum statistics
• Correlation-Assisted Quantized Charge Pumping
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
• Higher-order topological phase of interacting photon pairs
• Topological quantum pump of strongly interacting fermions in coupled chains
• Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice
• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
• Scanning qubit probe of edge states in a topological insulator
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Resonant edge-site pumping of polaritonic Su-Schrieffer-Heeger lattices
• High-root topological edge-state bands
• Probing the topology of the two-photon bands via time-dependent quantum walks
• Topological bound states in a lattice of rings with nearest-neighbour interactions