Topological Phase Transitions with Zero Indirect Band Gap
arXiv:2312.13907 · doi:10.1088/1361-648X/ad3872
Abstract
Topological phase transitions in band models are usually associated to the gap closing between the highest valance band and the lowest conduction band, which can give rise to different types of nodal structures, such as Dirac/Weyl points, lines and surfaces. In this work, we show the existence of a different kind of topological phase transitions in one-dimensional systems, which are instead characterized by the presence of a robust zero indirect gap, which occurs when the top of the valence band coincides with the bottom of the conduction band in energy but not in momentum. More specifically, we consider an one-dimensional model on a diamond-like chain that is protected by both particle-hole and chiral-inversion symmetries. At the critical point, the system supports a Dirac-like point. After introducing a deforming parameter that breaks both inversion and chiral symmetries but preserves their combination, we observe the emergence of a zero indirect band gap, which results to be related to the persymmetry of our Hamiltonian. Importantly, the zero indirect gap holds for a range of values of the deforming parameter. We finally discuss the implementation of the deforming parameter in our tight-binding model through time-periodic (Floquet) driving.
arXiv comment6 pages, 3 figures
References in corpus (24)
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Photovoltaic Hall effect in graphene
- Topological characterization of periodically-driven quantum systems
- Atomic quantum gases in periodically driven optical lattices
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Topological Band Engineering of Graphene Nanoribbons
- Engineering of robust topological quantum phases in graphene nanoribbons
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Topological Semimetals from first-principles
- Experimental observation of Aharonov-Bohm cages in photonic lattices
- Interaction induced delocalisation for two particles in a periodic potential
- Edge states in trimer lattices
- Pressure and temperature driven phase transitions in HgTe quantum wells
- Rashba effect induced localization in quantum networks
- Quenched dynamics and spin-charge separation in an interacting topological lattice
- Two-dimensional Chern semimetals on the Lieb lattice
- Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric
- Solitons in one-dimensional lattices with a flat band
- Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
- Topological properties of a non-Hermitian quasi-1D chain with a flat band
- Trigonal Warping, Satellite Dirac Points and Multiple Field Tuned Topological Transitions in Twisted Double Bilayer Graphene
- Exploiting Matrix Symmetries and Physical Symmetries in Matrix Product States and Tensor Trains
- Impact of epitaxial strain on the topological-nontopological phase diagram and semimetallic behavior of InAs/GaSb composite quantum wells