Network model for periodically strained graphene

Beule, Christophe De; Phong, Võ Tiến; Mele, Eugene J.

doi:10.1103/physrevb.107.045405

Cited by 5 publications

(4 citation statements)

References 50 publications

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“…Here, we consider a substrate-induced buckling transition that gives rise to a periodic height profile with

symmetry. In the first-star approximation, the height profile is given by

with

, where the phase

controls the shape of the profile ( 8 , 30 – 32 ). Experimentally,

can be tuned by designing different artificial substrates.…”

Section: Materials Systemsmentioning

confidence: 99%

Roses in the nonperturbative current response of artificial crystals

De Beule,

Phong,

Mele

2023

Proc. Natl. Acad. Sci. U.S.A.

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In two-dimensional artificial crystals with large real-space periodicity, the nonlinear current response to a large applied electric field can feature a strong angular dependence, which encodes information about the band dispersion and Berry curvature of isolated electronic Bloch minibands. Within the relaxation-time approximation, we obtain analytic expressions up to infinite order in the driving field for the current in a band-projected theory with time-reversal and trigonal symmetry. For a fixed field strength, the dependence of the current on the direction of the applied field is given by rose curves whose petal structure is symmetry constrained and is obtained from an expansion in real-space translation vectors. We illustrate our theory with calculations on periodically buckled graphene and twisted double bilayer graphene, wherein the discussed physics can be accessed at experimentally relevant field strengths.

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“…Here, we consider a substrate-induced buckling transition that gives rise to a periodic height profile with

symmetry. In the first-star approximation, the height profile is given by

with

, where the phase

controls the shape of the profile ( 8 , 30 – 32 ). Experimentally,

can be tuned by designing different artificial substrates.…”

Section: Materials Systemsmentioning

confidence: 99%

Roses in the nonperturbative current response of artificial crystals

De Beule,

Phong,

Mele

2023

Proc. Natl. Acad. Sci. U.S.A.

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“…Strain engineering or "straintronics" has emerged as a way to change the behavior of materials, in particular, 2D nanomaterials, especially graphene [1][2][3][4][5][6][7][8][9]. In this case, straintronics has been considered in recent years as a way to fine-tune, among other properties, its band gap in order to use it in many different applications [10][11][12][13][14][15][16][17][18][19]. In fact, strained graphene nanobubbles have been recently proposed as qubits for quantum computing [20].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Properties of Small Quasi-Square Graphene Nanoflakes

Serna-Gutiérrez,

Cordero

2024

Crystals

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The rise of straintronics—the possibility of fine-tuning the electronic properties of nanosystems by applying strain to them—has enhanced the interest in characterizing the mechanical properties of these systems when they are subjected to tensile (or compressive), shear and torsion strains. Four parameters are customarily used to describe the mechanical behavior of a macroscopic solid within the elastic regime: Young’s and shear moduli, the torsion constant and Poisson’s ratio. There are some relations among these quantities valid for elastic continuous isotropic systems that are being used for 2D nanocrystals without taking into account the non-continuous anisotropic nature of these systems. We present in this work computational results on the mechanical properties of six small quasi-square (aspect ratio between 0.9 and 1.1) graphene nanocrystals using the PM7 semiempirical method. We use the results obtained to test the validity of two relations derived for macroscopic homogeneous isotropic systems and sometimes applied to 2D systems. We show they are not suitable for these nanostructures and pinpoint the origin of some discrepancies in the elastic properties and effective thicknesses reported in the literature. In an attempt to recover one of these formulas, we introduce an effective torsional thickness for graphene analogous to the effective bending thickness found in the literature. Our results could be useful for fitting interatomic potentials in molecular mechanics or molecular dynamics models for finite carbon nanostructures, especially near their edges and for twisted systems.

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“…In addition, the samples can be easily investigated with local and nonlocal techniques under fixed strain configurations. Experiments using substrates to induce periodic deformations on graphene membranes have reported unexpected electronic transport − and peculiar local density of states (LDOS) features. , These developments were complemented by theoretical studies of effective models, which treat the effects of strain in terms of a pseudomagnetic field. − Although intriguing phenomena have been predicted, many of these works assume the pseudomagnetic field profile proposed in the particular setup of buckled graphene on NbSe 2 . One naturally expects that details of the pseudomagnetic field should depend on the specific experimental setting, i.e., strain profiles.…”

mentioning

confidence: 99%

“…Knowledge of the key geometric features of the patterned substrates that determine the resulting electronic properties is highly desirable for guiding future experiments. Also, experimental evidence of the nontrivial band topology, which is predicted in periodically strained graphene and shown to be important for some correlation-driven phenomena, − remains elusive. Consequently, the potential for substrate design to produce tailored electronic and topological properties remains untapped.…”

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confidence: 99%

Topological Flat Bands in Strained Graphene: Substrate Engineering and Optical Control

2023

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The discovery of correlated phases in twisted moireś uperlattices accelerated the search for low-dimensional materials with exotic properties. A promising approach uses engineered substrates to strain the material. However, designing substrates for tailored properties is hindered by the incomplete understanding of the relationship between the substrate's shapes and the electronic properties of the deposited materials. By analyzing effective models of graphene under periodic deformations with generic crystalline profiles, we identify strong C 2z symmetry breaking as the critical substrate geometric feature for emerging energy gaps and quasi-flat bands. We find continuous strain profiles producing connected pseudomagnetic field landscapes are important for band topology. We show that the resultant electronic and topological properties from a substrate can be controlled with circularly polarized light, which also offers unique signatures for identifying the band topology imprinted by strain. Our results can guide experiments on strain engineering for exploring interesting transport and topological phenomena.

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Network model for periodically strained graphene

Cited by 5 publications

References 50 publications

Roses in the nonperturbative current response of artificial crystals

Roses in the nonperturbative current response of artificial crystals

Mechanical Properties of Small Quasi-Square Graphene Nanoflakes

Topological Flat Bands in Strained Graphene: Substrate Engineering and Optical Control

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