Symmetry-based approach to electron-phonon interactions in graphene

Mañes, Juan L.

doi:10.1103/physrevb.76.045430

Cited by 259 publications

(278 citation statements)

References 29 publications

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“…Similar approaches can be applied to describe the appearance of Dirac bands in AG in semiconductors [13,14]. The general symmetries of the triangular lattice uniquely determine these couplings, which have the same form as graphene [39,40]. In particular, spatially patterning the hopping via STM atom manipulation allows the generation of both gauge (pseudo) electric and magnetic fields in molecular graphene (see Fig.…”

Section: Confining Electronsmentioning

confidence: 99%

Artificial honeycomb lattices for electrons, atoms and photons

et al. 2013

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Artificial honeycomb lattices offer a tunable platform to study massless Dirac quasiparticles and their topological and correlated phases. Here we review recent progress in the design and fabrication of such synthetic structures focusing on nanopatterning of two-dimensional electron gases in semiconductors, molecule-by-molecule assembly by scanning probe methods, and optical trapping of ultracold atoms in crystals of light. We also discuss photonic crystals with Dirac cone dispersion and topologically protected edge states. We emphasize how the interplay between single-particle band structure engineering and cooperative effects leads to spectacular manifestations in tunneling and optical spectroscopies.

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Section: Confining Electronsmentioning

confidence: 99%

Artificial honeycomb lattices for electrons, atoms and photons

et al. 2013

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“…40. In the long-wavelength limit, the TA and LA phonons are strictly transverse and longitudinal, respectively, 47 and the electronphonon interaction has a simple analytic representation in the two-dimensional pseudospin basis.…”

Section: Interaction With Acoustic Phononsmentioning

confidence: 99%

“…In the long-wavelength limit, the TA and LA phonons are strictly transverse and longitudinal, respectively, 47 and the electronphonon interaction has a simple analytic representation in the two-dimensional pseudospin basis. 40 Using the results of Ref. 40, the coupling matrix elements can be expressed in terms of the angles θ k , θ q , and θ k+q of the involved wave vectors.…”

Section: Interaction With Acoustic Phononsmentioning

confidence: 99%

“…40 Using the results of Ref. 40, the coupling matrix elements can be expressed in terms of the angles θ k , θ q , and θ k+q of the involved wave vectors. Including contributions of order O(q), we find that the coupling matrix elements in the long-wavelength limit take the following form in the K valley,…”

Section: Interaction With Acoustic Phononsmentioning

confidence: 99%

“…We use a first-principles method to calculate the electron-phonon interaction 38,39 supported by the grouptheoretical considerations of Ref. 40 to derive analytic forms of the coupling matrix elements. We then study the intrinsic phonon-limited mobility using a Boltzmann equation approach and the quasiparticle lifetime in the temperature regime 0-200 K and for high carrier densities n ∼ 10 12 -10 13 cm −2 , where screening by the carriers suppresses other scattering mechanisms and BG physics appear.…”

Section: Introductionmentioning

confidence: 99%

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Unraveling the acoustic electron-phonon interaction in graphene

2012

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Using a first-principles approach we calculate the electron-phonon couplings in graphene for the transverse and longitudinal acoustic phonons. Analytic forms of the coupling matrix elements valid in the long-wavelength limit are found to give an almost quantitative description of the first-principles matrix elements even at shorter wavelengths. Using the analytic forms of the coupling matrix elements, we study the acoustic phonon-limited carrier mobility and quasiparticle lifetime observable in photoemission spectroscopy for temperatures 0-200 K and high carrier densities of 10 12 -10 13 cm −2 . We find that the intrinsic effective acoustic deformation potential of graphene is eff = 6.8 eV and that the temperature dependence of the mobility μ ∼ T −α in the Bloch-Grüneisen regime increases beyond an α = 4 dependence even in the absence of screening when the true coupling matrix elements are considered. The α > 4 temperature dependence of the mobility is found to originate in a similar temperature dependence of the relaxation time at the Fermi level. The large disagreement between our calculated deformation potential and those extracted from experimental measurements (18-29 eV) indicates that additional or modified acoustic phonon-scattering mechanisms are at play in experimental situations.

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Visualizing the Anomalous Charge Density Wave States in Graphene/NbSe₂ Heterostructures

Chen

et al. 2020

Advanced Materials

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Metallic layered transition metal dichalcogenides (TMDs) host collective many‐body interactions, including the competing superconducting and charge density wave (CDW) states. Graphene is widely employed as a heteroepitaxial substrate for the growth of TMD layers and as an ohmic contact, where the graphene/TMD heterostructure is naturally formed. The presence of graphene can unpredictably influence the CDW order in 2D CDW conductors. This work reports the CDW transitions of 2H‐NbSe2 layers in graphene/NbSe2 heterostructures. The evolution of Raman spectra demonstrates that the CDW phase transition temperatures (TCDW) of NbSe2 are dramatically decreased when capped by graphene. The induced anomalous short‐range CDW state is confirmed by scanning tunneling microscopy measurements. The findings propose a new criterion to determine the TCDW through monitoring the line shape of the A1g mode. Meanwhile, the 2D band is also discovered as an indicator to observe the CDW transitions. First‐principles calculations imply that interfacial electron doping suppresses the CDW states by impeding the lattice distortion of 2H‐NbSe2. The extraordinary random CDW lattice suggests deep insight into the formation mechanism of many collective electronic states and possesses great potential in modulating multifunctional devices.

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Symmetry-based approach to electron-phonon interactions in graphene

Cited by 259 publications

References 29 publications

Artificial honeycomb lattices for electrons, atoms and photons

Artificial honeycomb lattices for electrons, atoms and photons

Unraveling the acoustic electron-phonon interaction in graphene

Visualizing the Anomalous Charge Density Wave States in Graphene/NbSe₂ Heterostructures

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Symmetry-based approach to electron-phonon interactions in graphene

Cited by 259 publications

References 29 publications

Artificial honeycomb lattices for electrons, atoms and photons

Artificial honeycomb lattices for electrons, atoms and photons

Unraveling the acoustic electron-phonon interaction in graphene

Visualizing the Anomalous Charge Density Wave States in Graphene/NbSe2 Heterostructures

Contact Info

Product

Resources

About

Visualizing the Anomalous Charge Density Wave States in Graphene/NbSe₂ Heterostructures