Novel effects of strains in graphene and other two dimensional materials

Abstract

The analysis of the electronic properties of strained or lattice deformed graphene combines ideas from classical condensed matter physics, soft matter, and geometrical aspects of quantum field theory (QFT) in curved spaces. Recent theoretical and experimental work shows the influence of strains in many properties of graphene not considered before, such as electronic transport, spin-orbit coupling, the formation of Moiré patterns, optics, ... There is also significant evidence of anharmonic effects, which can modify the structural properties of graphene. These phenomena are not restricted to graphene, and they are being intensively studied in other two dimensional materials, such as the metallic dichalcogenides. We review here recent developments related to the role of strains in the structural and electronic properties of graphene and other two dimensional compounds.

75 pages, 15 figures, review article

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Cited by in corpus (227)

• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• Artificial gauge fields in materials and engineered systems
• Optical imaging of strain in two-dimensional crystals
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Achieving Large, Tunable Strain in Monolayer Transition-Metal Dichalcogenides
• Visualizing Strain-induced Pseudo magnetic Fields in Graphene through an hBN Magnifying Glass
• Variation of the fundamental band gap nature in curved two-dimensional WS2
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Colloquium: Physical properties of group-IV monochalcogenide monolayers
• Theory of 2D crystals: graphene and beyond
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Tuning the pseudospin polarization of graphene by a pseudo-magnetic field
• Pseudo-electromagnetic fields in topological semimetals
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Programming moiré patterns in 2D materials by bending
• Strain engineering in single-, bi- and tri-layer MoS2, MoSe2, WS2 and WSe2
• Electrically tunable gauge fields in tiny-angle twisted bilayer graphene
• Current splitting and valley polarization in elastically deformed graphene
• Strain Modulation of Graphene by Nanoscale Substrate Curvatures: A Molecular View
• Recent progresses of quantum confinement in graphene quantum dots
• Electronic Structure Theory of Strained Two-Dimensional Materials with Hexagonal Symmetry
• Valley engineering by strain in Kekulé-distorted graphene
• Thermal transport, geometry, and anomalies
• Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space
• Superlattices based on van der Waals 2D materials
• Biaxial versus uniaxial strain tuning of single-layer MoS${}_2$
• Designer curved-space geometry for relativistic fermions in Weyl metamaterials
• Non-Hookean statistical mechanics of clamped graphene ribbons
• Flat bands in magic-angle vibrating plates
• Pseudo-magnetic field in curved graphene
• Multi-ultraflatbands tunability and effect of spin-orbit coupling in twisted bilayer transition metal dichalcogenides
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Strain induced quasi-unidimensional channels in twisted moiré lattices
• Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
• Collapse of Landau levels in Weyl semimetals
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Microheater actuators as a versatile platform for strain engineering in 2D materials
• Quantum effects in graphene monolayers: Path-integral simulations
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Landau levels in strained two-dimensional photonic crystals
• Tuning band gaps in twisted bilayer MoS${}_2$
• Statistical mechanics of thin spherical shells
• Dielectric nano-antennas for strain engineering in atomically thin two-dimensional semiconductors
• Designing Moiré Patterns by Strain
• All-strain based valley filter in graphene nanoribbons using snake states
• Strongly anisotropic strain-tunability of excitons in exfoliated ZrSe${}_3$
• Anharmonic effects in the optical and acoustic bending modes of graphene
• Emergent gauge fields from curvature in single layers of transition-metal dichalcogenides
• Designing three-dimensional flat bands in nodal-line semimetals
• Buckling of thermalized elastic sheets
• Kinky plasmons in double layers of borophene-borophene and borophene-graphene
• Dynamical Floquet spectrum of Kekulé-distorted graphene under normal incidence of electromagnetic radiation
• Graphene Plasmons in Triangular Wedges and Grooves
• Quantum and classical ripples in graphene
• Graphene Quantum Strain Transistors
• An automated system for strain engineering and straintronics of 2D materials
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Observation of topological Bloch-state defects and their merging transition
• Resonant transport in Kekule-distorted graphene nanoribbons
• Entropic Effects of Thermal Rippling on van der Waals Interactions between Monolayer Graphene and a Rigid Substrate
• Strain-dependent damping in nanomechanical resonators from thin $\mathrm{Mo}{\mathrm{S}}_2$ crystals
• Topological flat bands in time-periodically driven uniaxial strained graphene nanoribbons
• Quantum Hall response to time-dependent strain gradients in graphene
• Localization of massless Dirac particles via spatial modulations of the Fermi velocity
• Single-electron Transport in Graphene-like Nanostructures
• Thermalized buckling of isotropically compressed thin sheets
• Valley Hall Effect and Nonlocal Transport in Strained Graphene
• Valley polarization braiding in strained graphene
• Kubo conductivity for anisotropic tilted Dirac semimetals and its application to 8-Pmmn borophene: The role of different frequency, temperature and scattering limits
• Elastic properties and mechanical tension of graphene
• Dynamic local strain in graphene generated by surface acoustic waves
• (Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene
• Correlations in the elastic Landau level of spontaneously buckled graphene
• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Torsion in quantum field theory through time-loops on Dirac materials
• Low-energy theory for strained graphene: an approach up to second-order in the strain tensor
• Magnetic field-tunable valley-contrasting pseudomagnetic confinement in graphene
• Analytic approach to magneto-strain tuning of electronic transport through a graphene nanobubble: Perspectives for a strain sensor
• A glassy phase in quenched disordered graphene and crystalline membranes
• Bending Strain Engineering of Spin Transport in Quantum Spin Hall Systems: Topological Nano-mechanospintronics
• Analytical Model for Atomic Relaxation in Twisted Moiré Materials
• Hairy BTZ black hole and its analogue model in graphene
• Electron dynamics in strained graphene
• Going beyond k.p theory: a general method for obtaining effective Hamiltonians in both high and low symmetry situations
• Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
• Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
• Strain induced superconductor-insulator transition on Lieb lattice
• Raise and collapse of strain-induced pseudo-Landau levels in graphene
• Symmetry Breaking and Lattice Kirigami
• Layer pseudospin dynamics and genuine non-Abelian Berry phase in inhomogeneously strained moiré pattern
• The flat phase of quantum polymerized membranes
• Adsorption by design: tuning atom-graphene van der Waals interactions via mechanical strain
• Work function, deformation potential, and collapse of Landau levels in strained graphene and silicene
• Critical radius and temperature for buckling in graphene
• Electronic transport in torsional strained Weyl semimetals
• Beyond Graphene: Low-Symmetry and Anisotropic 2D Materials
• Graphene, Dirac equation and analogue gravity
• Strain- and Adsorption-Dependent Electronic States and Transport or Localization in Graphene
• Strain induced topological phase transition at zigzag edges of monolayer transition-metal dichalcogenides
• Thermal properties of graphene under tensile stress
• Moiré phonons in graphene/hexagonal boron nitride moiré superlattice
• Multi-layered atomic relaxation in van der Waals heterostructures
• Fermionic vacuum currents in topologically nontrivial braneworlds: Two-brane geometry
• Anharmonicity of the acoustic modes of graphene
• Gradient-index electron optics in graphene pn junctions
• Symmetry breaking and lattice kirigami: finite temperature effects
• Strain-tuning of edge magnetism in zigzag graphene nanoribbons
• Straintronics beyond homogeneous deformation
• The Haldane model under nonuniform strain
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Thermal stiffening of clamped elastic ribbons
• Neutral and charged excitons interplay in non-uniformly strain-engineered WS${}_2$
• Strain-driven chiral phonons in two-dimensional hexagonal materials
• Excitonic mass gap in uniaxially strained graphene
• Wigner Crystals in Two-Dimensional Transition-Metal Dichalcogenides: Spin Physics and Readout
• Fermionic currents in topologically nontrivial braneworlds
• Phase diagrams and edge-state transitions in graphene with spin-orbit coupling and magnetic and pseudomagnetic fields
• Multi-flavor Dirac fermions in Kekulé-distorted graphene bilayers
• Tight-binding Piezoelectric Theory and Electromechanical Coupling Correlations for Transition Metal Dichalcogenide Monolayers
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• Stretching graphene using polymeric micro-muscles
• Nanostructures in suspended mono- and bilayer epitaxial graphene
• Casimir interaction of strained graphene
• Thermoelectric transport in torsional strained Weyl semimetals
• Strain-induced effects in the electronic and spin properties of a monolayer of ferromagnetic GdAg2
• Topological Magnon Insulator with a Kekule Bond Modulation
• Torsion at different scales: from materials to the Universe
• Modulation of Kekulé adatom ordering due to strain in graphene
• Impact of atomic reconstruction on optical spectra of twisted TMD homobilayers
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Carbon nanotube array as a van der Waals two-dimensional hyperbolic material
• Coulomb interactions and renormalization of semi-Dirac fermions near a topological Lifshitz transition
• Fingerprints of a position-dependent Fermi velocity on scanning tunnelling spectra of strained graphene
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Spontaneous mass generation due to phonons in a two-dimensional Dirac fermion system
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Faraday effect in rippled graphene: Magneto-optics and random gauge fields
• Transparent mirror effect in twist-angle-disordered bilayer graphene
• General theoretical description of angle-resolved photoemission spectroscopy of van der Waals structures
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Realizing One-dimensional Metallic States in Graphene via Periodically Coupled Zeroth Pseudo-Landau Levels
• Strain induced quantum Hall effect of excitons in graphene
• Flat and tunable moire phonons in twisted transition-metal dichalcogenides
• Coulomb interactions in systems of generalized semi-Dirac fermions
• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
• Strain impacts on commensurate bilayer graphene superlattices: distorted trigonal warping, emergence of bandgap and direct-indirect bandgap transition
• Strain manipulation of Majorana fermions in graphene armchair nanoribbons
• Interplay between nanometer-scale strain variations and externally applied strain in graphene
• Hysteretic phenomena in GFET: general theory and experiment
• Impact of the domain structure in ferroelectric substrate on graphene conductance (authors' review)
• Theory of liquid film growth and wetting instabilities on graphene
• Mid-infrared photodetector based on 2D material metamaterial with negative index properties for a wide range of angles near vertical illumination
• Elastic properties and mechanical stability of bilayer graphene: Molecular dynamics simulations
• Electronic properties of curved few-layers graphene: a geometrical approach
• Impact of novel electron-phonon coupling mechanisms on valley physics in two-dimensional materials
• Path-integral simulation of graphene monolayers under tensile stress
• A Perspective on Collective Properties of Atoms on 2D Materials
• Impacts of in-plane strain on commensurate graphene/hexagonal boron nitride superlattices
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Feynman Rules in terms of the Wigner transformed Green functions
• Geometric band properties in strained monolayer transition metal dichalcogenides using simple band structures
• Time-dependent strain-tuning topological magnon phase transition
• Magnetic Phases in Periodically Rippled Graphene
• Control of Spin Diffusion and Suppression of the Hanle Effect by the Coexistence of Spin and Valley Hall Effects
• Keldysh functional renormalization group for electronic properties of graphene
• Nanomechanical strain concentration on a 2D nanobridge within a large suspended bilayer graphene for molecular mass detection
• Database Construction for Two-Dimensional Material-Substrate Interfaces
• Supersymmetry dictated topology in periodic gauge fields and realization in strained and twisted 2D materials
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Strain-induced superfluid transition for atoms on graphene
• Anomalous magneto-optical response and chiral interface of dipolar excitons at twisted valleys
• Highly stable electronic properties of rippled antimonene under compressive deformation
• Deformation of graphene sheet: Interaction of fermions with phonons
• Tuning topology in thin films of topological insulators by strain gradients
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Stability of Suspended Graphene under Casimir Force
• Infrared Dynamics of Cold Atoms on Hot Graphene Membranes
• Elastic Screening of Pseudogauge Fields in Graphene
• Electron heating and mechanical properties of graphene
• Thermal control of graphene morphology: a signature of its intrinsic surface tension
• Quantum Hall effect induced by electron-phonon interaction
• Universal behaviors in the wrinkling transition of disordered membranes
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Multifractal wave functions of charge carriers in graphene with folded deformations, ripples or uniaxial flexural modes: analogies to the quantum Hall effect under random pseudomagnetic fields
• Fermionic dualities with axial gauge fields
• Density of states of Dirac-Landau levels in a gapped graphene monolayer under strain gradient
• Band Gaps and Wavefunctions of Electrons Coupled to Pseudo Electromagnetic Waves in Rippled Graphene
• Theory of the Strain-Induced Magnetoelectric Effect in Planar Dirac Systems
• Flat phase of quenched disordered membranes at three-loop order
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Microscopic lattice model for quartic semi-Dirac fermions in two dimensions
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• New supercurrent pattern in quantum point contact with strained graphene nanoribbon
• Theory for strained graphene beyond the Cauchy-Born rule
• Polarization Charge around Impurities in Two-Dimensional Anisotropic Dirac Systems
• Quantum Transport Straintronics and Mechanical Aharonov-Bohm Effect in Quasi-metallic SWCNTs
• Geometrical properties of strained and twisted moiré heterostructures
• Strain-Fluctuation-Induced Near-Quantization of Valley Hall Conductivity in Graphene Systems
• Strain-induced collapse of Landau Levels in real Weyl semimetals
• Chiral excitonic systems in twisted bilayers from Förster coupling and unconventional excitonic Hall effects
• Fractional quantum Hall effect in strained graphene: stability of Laughlin states in disordered (pseudo)magnetic fields
• Effect of resonant impurity scattering of carriers on Drude peak broadening in uniaxially strained graphene
• Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
• Symmetries of Weyl Superconductors with Different Pairings
• Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes
• Tunable Dirac points and zero-energy modes in periodic curved graphene superlattices
• Graphene separation and stretching induced by piezoelectric effect of ferroelectric domains: impact on the conductance of graphene channel
• Quantum entanglement between excitons in two-dimensional materials
• Topological Casimir effect for fermionic condensate in AdS spacetime with compact dimensions
• Deformation induced pseudo-magnetic fields in complex carbon architectures
• Time-loops to spot torsion on bidimensional Dirac materials with dislocations
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal
• Nodal semimetals in $d\ge 3$ to sharp pseudo-Landau levels by dimensional reduction
• Electron localization in periodically strained graphene
• Spinodal de-wetting of light liquids on graphene
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Buckling in a rotationally invariant spin-elastic model
• Scalable tight-binding model for strained graphene
• Quantum Atomic Matter Near Two-Dimensional Materials in Microgravity
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations
• Strain-induced exciton mobility in layered WS2 from first principles
• Tuning Terahertz Optomechanics of MoS2 Bilayers with Homogeneous In-plane Strain
• A theory of time based on wavefunction collapse
• Straintronics and twistronics in bilayer graphene