External gates and transport in biased bilayer graphene

Culcer, Dimitrie; Winkler, Roland

doi:10.1103/physrevb.79.165422

Cited by 23 publications

(27 citation statements)

References 53 publications

(61 reference statements)

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“…That is clearly different from the ones appear in two-dimensional system [60]. For the calculation in main text, we use the twodimensional chiral factor F λλ ′ = 1±cos b 2 = 1 2 (1 ± k+qcos a √ k 2 +q 2 +2kqcos a ) due to the nature of weakchirality of the system we discussed.…”

Section: Pair Propagator and Relaxation Time At Finite Temperaturementioning

confidence: 95%

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

2020

Physica B: Condensed Matter

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We investigate the properties of attractive polaron formed by a single impurity dressed with the particle-hole excitations in a three-dimensional (3D) doped (extrinsic) parabolic system. Base on the single particle-hole variational ansatz, we study the pair propagator, self-energy, and the non-self-consistent medium T -matrix. The non-self-consistent T -matrix discussed in this paper contains only the open channel since we don't consider the shift of center-of-mass due to the resonance (e.g., induced by the magnetic field). Besides, since we focus on the low-density regime of the majority particles, the effective Fermi wave vector is small. The scattering form factor is discussed in detail for the chiral case and compared to the non-chiral one. The effects of the bare coupling strength, which is momentum-cutoff-dependent, are also discussed. We found that the pair propagator and the related quantities, like the self-energy, spectral function, induced effective mass, and residue (spectral weight), all exhibit different features in the low-momentum regime and the high one, which also related to the polaronic instabilities as well as the many-body fluctuation and nonadiabatic/adiabatic dynamics. The pair-propagator and the energy relaxation time at finite temperature are also explored.

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Section: Pair Propagator and Relaxation Time At Finite Temperaturementioning

confidence: 95%

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

2020

Physica B: Condensed Matter

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“…An alternative matrix formulation, which contains the same physics and is potentially more transparent, relies on the quantum Liouville equation to derive a kinetic equation for the density matrix. This theory was first discussed for graphene monolayers 60 and bilayers, 61 and was recently extended to topological insulators including the full scattering term to linear order in the impurity density.…”

Section: Transport Theory For Topological Insulatorsmentioning

confidence: 99%

Transport in three-dimensional topological insulators: Theory and experiment

Culcer

2012

Physica E: Low-dimensional Systems and Nanostructures

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144

140

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This article reviews recent theoretical and experimental work on transport due to the surface states of three-dimensional topological insulators. The theoretical focus is on longitudinal transport in the presence of an electric field, including Boltzmann transport, quantum corrections and weak localization, as well as longitudinal and Hall transport in the presence of both electric and magnetic fields and/or magnetizations. Special attention is paid to transport at finite doping, to the π-Berry phase, which leads to the absence of backscattering, Klein tunneling and half-quantized Hall response. Signatures of surface states in ordinary transport and magnetotransport are clearly identified. The review also covers transport experiments of the past years, reviewing the initial obscuring of surface transport by bulk transport, and the way transport due to the surface states has increasingly been identified experimentally. Current and likely future experimental challenges are given prominence and the current status of the field is assessed.

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“…[28] Since we formulate the Boltzmann equation for a spin-orbit coupling of arbitrary winding number N the results also apply to certain models [32][33][34][35] for bilayer and multilayer graphene. Quantum corrections in the bilayer case N = 2 have been considered by Culcer et al [36] with a similar approach as in ref. [22].…”

Section: Introductionmentioning

confidence: 99%

Quantum corrections in the Boltzmann conductivity of graphene and their sensitivity to the choice of formalism

Kailasvuori

Lüffe

2010

J. Stat. Mech.

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Semiclassical spin-coherent kinetic equations can be derived from quantum theory with many different approaches (Liouville equation based approaches, nonequilibrium Green's functions techniques, etc.). The collision integrals turn out to be formally different, but coincide in textbook examples as well as for systems where the spin-orbit coupling is only a small part of the kinetic energy like in related studies on the spin Hall effect. In Dirac cone physics (graphene, surface states of topological insulators like Bi1−xSbx, Bi2Te3 etc.), where this coupling constitutes the entire kinetic energy, the difference manifests itself in the precise value of the electron-hole coherence originated quantum correction to the Drude conductivity σ0 ∼ e 2 h kF. The leading correction is derived analytically for single and multilayer graphene with general scalar impurities. The often neglected principal value terms in the collision integral are important. Neglecting them yields a leading correction of order ( kF) −1 , whereas including them can give a correction of order ( kF) 0 . The latter opens up a counterintuitive scenario with finite electron-hole coherent effects at Fermi energies arbitrarily far above the neutrality point regime, for example in the form of a shift δσ ∼ e 2 h that only depends on the dielectric constant. This residual conductivity, possibly related to the one observed in recent experiments, depends crucially on the approach and could offer a setting for experimentally singling out one of the candidates. Concerning the different formalisms we notice that the discrepancy between a density matrix approach and a Green's function approach is removed if the Generalized Kadanoff-Baym Ansatz in the latter is replaced by an anti-ordered version. This issue of Ansatz may also be important for Boltzmann type treatments of graphene beyond linear response.

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External gates and transport in biased bilayer graphene

Cited by 23 publications

References 53 publications

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

Transport in three-dimensional topological insulators: Theory and experiment

Quantum corrections in the Boltzmann conductivity of graphene and their sensitivity to the choice of formalism

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