Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice

Abstract

We investigate the effects of a nonuniform uniaxial strain and a triaxial strain on the $\alpha -{\mathcal{T}}_3$ lattice. The analytical expressions of the pseudo-Landau levels (pLLs) are derived based on low-energy Hamiltonians, and are verified by tight-binding calculations. We find the pseudo-magnetic field leads to the oscillating density of states, and the first pLL is sublattice polarized, which is distributed on only two of the three sets of sublattices. For the nonuniform uniaxial strain, we show that pLLs become dispersive due to the renormalization of the Fermi velocity, and a valley polarized current emerges. Our results generalize the study of pseudo-magnetic field to the $\alpha -{\mathcal{T}}_3$ lattice, which will not only deepen the understanding of the intriguing effects of mechanical strains, but also provide theoretical foundation for possible experimental studies of the effects of strain on the $\alpha -{\mathcal{T}}_3$ lattice.

To appear in Phys.Rev.B. 10 pages, 8 figures

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Cited by in corpus (12)

• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Complex Landau levels and related transport properties in the strained zigzag graphene nanoribbons
• Implementation and characterization of the dice lattice in the electron quantum simulator
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• Moiré semiconductors on twisted bilayer dice lattice
• Generation of isolated flat bands with tunable numbers through Moiré engineering
• Pseudo-magnetic fields in square lattices
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Geometry-Driven Moiré Engineering in Twisted Bilayers of High-Pseudospin Fermions
• Anomalous enhancement of Neel order in the $S=1/2$ square lattice Heisenberg model under fictitious magnetic field
• Quantum Geometry Driven Finite-Momentum Exciton Fluctuations in Flat-Band Systems