Effects of correlations on phase diagrams of the two-dimensional Su-Schrieffer-Heeger model with the longer-range hoppings
arXiv:2103.10862 · doi:10.1016/j.physe.2021.114884
Abstract
For the Su-Schrieffer-Heeger (SSH) model on the two-dimensional square lattice, two third nearest neighbor hoppings which preserve chiral symmetry are introduced. Like the case of one dimension, the longer-range hopping can drive topological transitions and leads to the larger topological invariant (vectored Berry phase for the two dimensional SSH model). We obtain the phase boundaries and topological phase diagrams from the winding pattern of of the Bloch Hamiltonian. Effects of correlations on the extended two dimensional SSH model are also investigated. The correlation shifts the phase boundaries and leads to topological transitions. Several special points in non-interacting phase diagrams are chosen to illustrate the different phase transitions and a correlations-driven topologically non-trivial phase from the trivial one is found. In this work, the slave-rotor mean field method is applied to the interacting model and we focus on the case of physical electrons, i.e. the Mott transition of charge degree of freedom is avoided in our investigations.
arXiv comment9 pages, 10 figures
References in corpus (31)
- The Zak phase and the existence of edge states in graphene
- Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
- Novel Topological Phase with Zero Berry Curvature
- Interacting topological insulators: a review
- Topological phases of generalized Su-Schrieffer-Heeger models
- Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
- Correlation effects in two-dimensional topological insulators
- Topological characterization of chiral models through their long time dynamics
- Dimensional Crossover of Topological Edge States in Su-Schrieffer-Heeger Model
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Interplay between long range hopping and disorder in topological systems
- Topological invariants and interacting one-dimensional fermionic systems
- Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
- Quantum impurity solvers using a slave rotor representation
- A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions
- Characterization of a topological Mott insulator in one dimension
- Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
- Rashba spin orbit coupling in the Kane-Mele-Hubbard model
- Distant-Neighbor Hopping in Graphene and Haldane Models
- A study on correlation effects in two dimensional topological insulators
- Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
- An elementary rigorous proof of bulk-boundary correspondence in the generalized Su-Schrieffer-Heeger model
- Topological Anderson insulating phases in the long-range Su-Schrieffer-Heeger model
- Entanglement Spectrum of Su-Schrieffer-Heeger-Hubbard Model
- Topological and non-topological features of generalized Su-Schrieffer-Heeger models
- Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
- Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice
- Coherence and Coulomb blockade in single electron devices: a unified treatment of interaction effects
- Theory of electron spin resonance in one-dimensional topological insulators with spin-orbit couplings
- Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
- Electron Correlation Effects on Topological Phases