Pseudo-magnetic fields in square lattices

Abstract

We have investigated the effects of strain on two-dimensional square lattices and examined the methods for inducing pseudo-magnetic fields. In both the columnar and staggered $\pi$-flux square lattices, we have found that strain only modulates Fermi velocities rather than inducing pseudo-magnetic fields. However, spatially non-uniform on-site potentials (anisotropic hoppings) can create pseudo-magnetic fields in columnar (staggered) $\pi$-flux square lattices. On the other hand, we demonstrate that strain does induce pseudo-magnetic fields in staggered zero-flux square lattices. By breaking a quarter of the bonds, we clarify that a staggered zero-flux square lattice is topologically equivalent to a honeycomb lattice and displays pseudo-vector potentials and pseudo-Landau levels at the Dirac points.

arXiv comment11 pages, 8 figures

References in corpus (55)

• The electronic properties of graphene
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Gauge fields in graphene
• Topolectrical circuits
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Artificial graphene as a tunable Dirac material
• Generating quantizing pseudomagnetic fields by bending graphene ribbons
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Gauge field induced by ripples in graphene
• Space dependent Fermi velocity in strained graphene
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Gauge fields from strain in graphene
• Observation of acoustic Landau quantization and quantum-Hall-like edge states
• Pseudomagnetic fields for sound at the nanoscale
• Axial-field-induced chiral channels in an acoustic Weyl system
• Nanoscale Strain Engineering of Giant Pseudo-Magnetic Fields, Valley Polarization and Topological Channels in Graphene
• Tight-binding couplings in microwave artificial graphene
• Topolectric circuits: Theory and construction
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Non-Hermitian exceptional Landau quantization in electric circuits
• Room temperature strain-induced Landau levels in graphene on a wafer-scale platform
• Strain Induced One-Dimensional Landau-Level Quantization in Corrugated Graphene
• Observation of Valley-polarized Landau Levels in Strained Graphene
• A semi-Dirac point in the Hofstadter spectrum
• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Massless Dirac Fermions in a Square Optical Lattice
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Observation of supersymmetric pseudo-Landau levels in strained microwave graphene
• Interaction effect in two-dimensional Dirac fermions
• Strain-induced Landau Levels in arbitrary dimensions with an exact spectrum
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Landau levels from neutral Bogoliubov particles in two-dimensional nodal superconductors under strain and doping gradients
• Magnon Landau levels and emergent supersymmetry in strained antiferromagnets
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors
• 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
• Charge-Density Wave Order on a $\pi$-flux Square Lattice
• Magnon quantum anomalies in Weyl ferromagnets
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• 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
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Complex Landau levels and related transport properties in the strained zigzag graphene nanoribbons
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons
• Fractionalization Waves in Two-dimensional Dirac Fermions: Quantum Imprint from One Dimension

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