Transmigration of Edge States with Interaction in Su-Schrieffer-Heeger Chain

Abstract

The effect of Hubbard and Kondo interactions on the edge states in the half-filled Su-Schrieffer-Heeger chain of electrons is investigated by studying the behaviour of charge quasiparticles using Kumar representation and density matrix renormalization group method. For any finite dimerization of hopping, by increasing the Hubbard interaction, the edge states are found to transmigrate from the physical charge gap to a high energy gap through an intermediate phase without the edge states. The extent of this phase with no edge states shrinks smoothly upon increasing the dimerization. The transmigration of edge states from the charge gap to the high energy gap is also found to occur with Kondo interaction, but through an intermediate phase which itself changes from having no edge states for weak dimerization to having the edge states in the physical as well as the high energy gaps coexisting from moderate to strong dimerization.

arXiv comment7+ pages, 14 figures

References in corpus (20)

• The ITensor Software Library for Tensor Network Calculations
• Interacting topological insulators: a review
• Topological invariants and interacting one-dimensional fermionic systems
• Characterization of a topological Mott insulator in one dimension
• Mott insulators with boundary zeros
• Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Theory of Quantum Oscillations of Magnetization in Kondo Insulators
• Entanglement Spectrum of Su-Schrieffer-Heeger-Hubbard Model
• Canonical representation for electrons and its application to the Hubbard model
• Exact solution of the infinite-U Hubbard problem and other models in one dimension
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Real-Time Evolution in the Hubbard Model with Infinite Repulsion
• Diagnosing Topological Edge States via Entanglement Monogamy
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Phase diagram of the Hubbard-Kondo lattice model from variational cluster approximation
• Inversion and magnetic quantum oscillations in symmetric periodic Anderson model
• Low-temperature theory of inversion and quantum oscillations in Kondo insulators

Cited by in corpus (1)

• Band structure picture for topology in strongly correlated systems with the ghost Gutzwiller ansatz