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.

arXiv commentTo appear in Phys.Rev.B. 10 pages, 8 figures

References in corpus (53)

• The electronic properties of graphene
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Gauge fields in graphene
• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• Artificial flat band systems: from lattice models to experiments
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Artificial graphene as a tunable Dirac material
• Time Reversal Invariant Topologically Insulating Circuits
• Generating quantizing pseudomagnetic fields by bending graphene ribbons
• Nearly flat band with Chern number C=2 on the dice lattice
• Gauge field induced by ripples in graphene
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• Experimental observation of bulk and edge transport in photonic Lieb lattices
• Space dependent Fermi velocity in strained graphene
• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Gauge fields from strain in graphene
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Nanoscale Strain Engineering of Giant Pseudo-Magnetic Fields, Valley Polarization and Topological Channels in Graphene
• Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Hall quantization and optical conductivity evolution with variable Berry phase in $\alpha$-$T_3$ model
• Magnetic properties of the $\alpha$-$T_3$ model: magneto-optical conductivity and the Hofstadter butterfly
• Room temperature strain-induced Landau levels in graphene on a wafer-scale platform
• Strain Induced One-Dimensional Landau-Level Quantization in Corrugated Graphene
• Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Observation of Valley-polarized Landau Levels in Strained Graphene
• Minimal conductivity, topological Berry winding and duality in three-band semimetals
• Quantum oscillations without magnetic field
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Unconventional phases in a Haldane model of dice lattice
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Unconventional quantum Hall effects in two-dimensional massive spin-1 fermion systems
• Tunable pseudo-magnetic fields for polaritons in strained metasurfaces
• Three-level Haldane-like model on dice optical lattice
• Chern insulators for electromagnetic waves in electrical circuit networks
• Transition-Metal Oxide (111) bilayers
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Valley filtering in strain-induced $\alpha$-${\mathcal{T}}_3$ quantum dots
• Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer
• Quantum Hall States in Graphene from Strain-Induced Nonuniform Magnetic Fields
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Degeneracy doubling and sublattice polarization in strain-induced pseudo-Landau levels
• Twist-induced magnon Landau levels in honeycomb magnets
• Magnon quantum anomalies in Weyl ferromagnets
• Magnetic Fabry-Pérot interferometer for valley filtering in a honeycomb-dice model
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• Electronic states of pseudospin-1 fermions in $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Quantum Monte Carlo study of honeycomb antiferromagnets under a triaxial strain
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons

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