Quantum capacitance and Landau parameters of massless Dirac fermions in graphene

Asgari, Reza; Katsnelson, M. I.; Polini, Marco

doi:10.1002/andp.201400167

Cited by 14 publications

(21 citation statements)

References 33 publications

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“…In this case an additional screening by the metallic gate electrode can essentially affect the many-body corrections to C Q , as considered in [50].…”

Section: Discussionmentioning

confidence: 99%

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Quantum capacitance and compressibility of graphene: The role of Coulomb interactions

2015

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Many-body effects on quantum capacitance, compressibility, renormalized Fermi velocity, kinetic and interaction energies of massless Dirac electrons in graphene, induced by Coulomb interactions, are analyzed theoretically in the first-order, Hartree-Fock and random phase approximations. Recent experimental data on quantum capacitance and renormalized Fermi velocity are analyzed and compared with the theory. The bare Fermi velocity and the effective dielectric constants are obtained from the experimental data. A combined effect of Coulomb interactions and Gaussian fluctuations of disorder potential is considered.

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“…In this case an additional screening by the metallic gate electrode can essentially affect the many-body corrections to C Q , as considered in [50].…”

Section: Discussionmentioning

confidence: 99%

“…For our analysis, we use the data from four recent experimental works [6][7][8]18], where the measured v * F [6,18] or C Q [7,8] were reported. In all our calculations, we use, following [13,50], the cutoff momentum p c = 1.095Å −1 , found by equating the density of valence band electrons 2/S 0 to gp 2 c /4π, where…”

Section: Analysis Of Experimental Datamentioning

confidence: 99%

Quantum capacitance and compressibility of graphene: The role of Coulomb interactions

2015

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“…Efficient manipulation of the Fermi level requires the presence of a back gate in close proximity to the graphene, which makes the numerous beautiful results stemming from the long-range behavior of the bare Coulomb potential [9] somewhat far from experimental reality, as the presence of image charges in the gate material (or screening effects) makes any realistic potential fall at large distances more rapidly than 1/r [21]. It is important to emphasize that any fast-decaying potential cannot produce a bound state at nonzero energy [23].…”

Section: Introductionmentioning

confidence: 99%

Optimal traps in graphene

et al. 2015

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We transform the two-dimensional Dirac-Weyl equation, which governs the charge carriers in graphene, into a nonlinear first-order differential equation for scattering phase shift, using the so-called variable-phase method. This allows us to utilize the Levinson theorem, relating scattering phase shifts of a slow particle to its bound states, to find zero-energy bound states created electrostatically in realistic structures. These confined states are formed at critical potential strengths, which leads us to posit the use of "optimal traps" to combat the chiral tunneling found in graphene: this could be explored experimentally with an artificial network of point charges held above the graphene layer. We also discuss scattering on these states and find that the s states create a dominant peak in the scattering cross section as the energy tends towards the Dirac point energy, suggesting a dominant contribution to the resistivity.

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“…(12) with n → n T and ε(n) → ε T = ε T (n T ). At temperatures k B T ε F,B(T) and neglecting manybody exchange and correlation effects 45,46 , we can use the approximate relation…”

Section: A Electrostaticsmentioning

confidence: 99%

Resonant tunneling and the quasiparticle lifetime in graphene/boron nitride/graphene heterostructures

2016

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Tunneling of quasiparticles between two nearly-aligned graphene sheets produces resonant currentvoltage characteristics because of the quasi-exact conservation of in-plane momentum. We claim that, in this regime, vertical transport in graphene/boron nitride/graphene heterostructures carries precious information on electron-electron interactions and the quasiparticle spectral function of the two-dimensional electron system in graphene. We present extensive microscopic calculations of the tunneling spectra with the inclusion of quasiparticle lifetime effects and elucidate the range of parameters (inter-layer bias, temperature, twist angle, and gate voltage) under which electronelectron interaction physics emerges.

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Quantum capacitance and Landau parameters of massless Dirac fermions in graphene

Cited by 14 publications

References 33 publications

Quantum capacitance and compressibility of graphene: The role of Coulomb interactions

Quantum capacitance and compressibility of graphene: The role of Coulomb interactions

Optimal traps in graphene

Resonant tunneling and the quasiparticle lifetime in graphene/boron nitride/graphene heterostructures

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