Topological phases and phase transitions on the square-octagon lattice

Abstract

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit coupling or non-Abelian gauge fields, time-reversal symmetric topological Z_2 band insulators are realized. Additional insulating and gapless phases are also realized via the non-Abelian gauge fields. Some of the phase transitions involve topological changes to the Fermi surface. The stability of the topological phases to various symmetry breaking terms is investigated via the entanglement spectrum. Our results enlarge the number of known exactly solvable models of Z_2 band insulators, and are potentially relevant to the realization and identification of topological phases in both the solid state and cold atomic gases.

12 pages, 9 figures

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• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
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• Entanglement spectrum of the Heisenberg XXZ chain near the ferromagnetic point
• Single-orbital realization of high-temperature $s^{\pm }$ superconductivity in the square-octagon lattice
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• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
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• Emergence of photo-induced multiple topological phases on square octagon lattice
• Different temperature-dependence for the edge and bulk of entanglement Hamiltonian
• Momentum-Space Entanglement in Heisenberg Spin-Half Ladders
• Detecting topological phases in the square-octagon lattice with statistical methods
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• A semimetallic square-octagon (fes) two-dimensional polymer with high mobility
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• Engineering frustrated Rydberg spin models by graphical Floquet modulation
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• Nonlinear compact localized modes in flux-dressed octagonal-diamond photonic lattice
• Topologically nontrivial flat bands and quantum Hall crossovers in square-octagon lattice materials
• Topological phases of monolayer and bilayer depleted Lieb lattices