Electron-phonon heat transfer in monolayer and bilayer graphene

Viljas, J. K.; Heikkilä, Tero T.

doi:10.1103/physrevb.81.245404

Cited by 231 publications

(344 citation statements)

References 57 publications

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“…(18) does not contribute to the continuity equations. At the same time, the electron-phonon interaction (that we have so far neglected) may lead to energy and imbalance relaxation processes [9,19,[39][40][41][42][43][44][45]. Taking into account the electronphonon collisions, we find the following continuity equations (see Appendix C for details):…”

Section: A Linear-response Equations In Graphenementioning

confidence: 99%

Hydrodynamics in graphene: Linear-response transport

et al. 2015

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We develop a hydrodynamic description of transport properties in graphene-based systems, which we derive from the quantum kinetic equation. In the interaction-dominated regime, the collinear scattering singularity in the collision integral leads to fast unidirectional thermalization and allows us to describe the system in terms of three macroscopic currents carrying electric charge, energy, and quasiparticle imbalance. Within this "three-mode" approximation, we evaluate transport coefficients in monolayer graphene as well as in double-layer graphene-based structures. The resulting classical magnetoresistance is strongly sensitive to the interplay between the sample geometry and leading relaxation processes. In small, mesoscopic samples, the macroscopic currents are inhomogeneous, which leads to a linear magnetoresistance in classically strong fields. Applying our theory to double-layer graphene-based systems, we provide a microscopic foundation for a phenomenological description of giant magnetodrag at charge neutrality and find the magnetodrag and Hall drag in doped graphene.

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Section: A Linear-response Equations In Graphenementioning

confidence: 99%

Hydrodynamics in graphene: Linear-response transport

et al. 2015

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“…23 On the other hand, in an experimental setup various factors, such surface contamination, thickness variations, or other imperfections might make it difficult to observe the strong oscillations of P with the thickness of the film and eventually an averaging procedure might be more appropriate. We analyze in more detail the term P (0) 1s (Eq.…”

Section: 5mentioning

confidence: 99%

“…It is argued that a general temperature dependence of the form T s+2 e − T s+2 ph should be valid, where s is the smaller of dimensions of the electron and phonon system. 23 However, in experimental studies on quasi 1D Al nanowires with 65 × 90 nm 2 cross-section, a better fit is achieved with the standard exponential x = 5.…”

Section: Introductionmentioning

confidence: 99%

Electron–phonon heat exchange in layered nano-systems

Anghel

Cojocaru

2016

Solid State Communications

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We analyze the heat power P between electrons and phonons in thin metallic films deposited on free-standing dielectric membranes in a temperature range in which the phonon gas has a quasi two-dimensional distribution. The quantization of the electrons wavenumbers in the direction perpendicular to the film surfaces lead to the formation of quasi two-dimensional electronic sub-bands. The electron-phonon coupling is treated in the deformation potential model and, if we denote by Te the electrons temperature and by T ph the phonons temperature, we find that P ≡ P (0) (Te) − P (1) (Te, T ph ); P (0) is the power "emitted" by the electron system to the phonons and P(1) is the power "absorbed" by the electrons from the phonons. Due to the quantization of the electronic states, P vs (d, Te) and P vs (d, T ph ) show very strong oscillations with d, forming sharp crests almost parallel to the temperature axes. In the valleys between the crests, P ∝ T 3.5 e − T 3.5 ph . From valley to crest, P increases by more than one order of magnitude and on the crests P does not have a simple power law dependence on temperature.The strong modulation of P with the thickness of the film may provide a way to control the electron-phonon heat power and the power dissipation in thin metallic films. Eventually the same mechanism may be used to detect small variations of d or surface contamination. On the other hand, the surface imperfections of the metallic films may make it difficult to observe the oscillations of P with d and eventually due to averaging the effects the heat flow would have a more smooth dependence on the thickness in real experiments.

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“…At high voltages, also inelastic scattering due to optical phonons appears, 5 but the low-energy inelastic scattering due to electron-electron (e-e) (Refs. 6 and 7) or electron-acoustic phonon scattering (e-ph) 8,9 does not directly influence the conductivity because the mean free paths for them are typically larger than the elastic mean free path. 1,3 In this paper we study the effect of low-energy inelastic scattering in graphene by using Josephson critical current measurements to determine heat transport in the system.…”

Section: Introductionmentioning

confidence: 99%

Energy relaxation in graphene and its measurement with supercurrent

et al. 2011

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We study inelastic energy relaxation in graphene for low energies to find out how electrons scatter with acoustic phonons and other electrons. By coupling the graphene to superconductors, we create a strong dependence of the measured signal, i.e., critical Josephson current, on the electron population on different energy states. Since the relative population of high-and low-energy states is determined by the inelastic scattering processes, the critical current becomes an effective probe for their strength. We argue that the electron-electron interaction is the dominant relaxation method and we estimate a scattering time τ e−e = 0.1 . . . 1 ps at T = 500 mK, 1-2 orders of magnitude smaller than predicted for normal two-dimensional diffusive systems.

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Electron-phonon heat transfer in monolayer and bilayer graphene

Cited by 231 publications

References 57 publications

Hydrodynamics in graphene: Linear-response transport

Hydrodynamics in graphene: Linear-response transport

Electron–phonon heat exchange in layered nano-systems

Energy relaxation in graphene and its measurement with supercurrent

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