Resonant electron-lattice cooling in graphene

Kong, Jian; Levitov, L. S.; Halbertal, Dorri; Zeldov, E.

doi:10.1103/physrevb.97.245416

Cited by 29 publications

(36 citation statements)

References 29 publications

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“…This high-resolution thermography was employed to study dissipation in graphene [15], where dissipation ring-shaped spots were observed in the bulk and on the edge of the samples, and associated with individual atomic defects. This interpretation was supported by the theory of "resonant supercollisions" [16,17]. Although Ref.…”

Section: Introductionmentioning

confidence: 85%

“…It possesses the key properties of the electron-phonon collision integrals: it vanishes in equilibrium, conserves the total number of electrons, and does not transfer energy to < 0. The Fokker-Planck form of the collision integral (3) can be microscopically derived for the quasi-elastic scattering by acoustic phonons [20] for T T BG , where T BG is the Bloch-Grüneisen temperature which determines the maximum energy transferred from electron to acoustic phonons in a collision process (in the absence of impurity-assisted "supercollisions" [16,17,21]).…”

Section: Modelmentioning

confidence: 99%

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Asymmetry of nonlocal dissipation: From drift-diffusion to hydrodynamics

et al. 2019

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We study dissipation in inhomogeneous two-dimensional electron systems. We predict a relatively strong current-induced spatial asymmetry in the heating of the electron and phonon systems -even if the inhomogeneity responsible for the electrical resistance is symmetric with respect to the current direction. We also show that the heat distributions in the hydrodynamic and impurity-dominated limits are essentially different. In particular, within a wide, experimentally relevant interval of driving fields, the dissipation profile in the hydrodynamic limit turns out to be asymmetric, and the characteristic spatial scale of the temperature distribution can be controlled by the driving field. By contrast, in the same range of parameters, impurity-dominated heating is almost symmetric, with the size of the dissipation region being independent of the field. This allows one to distinguish experimentally the hydrodynamic and impurity-dominated limits. Our results are consistent with recent experimental findings on transport and dissipation in narrow constrictions and quantum point contacts.arXiv:1906.03832v2 [cond-mat.mes-hall]

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Section: Introductionmentioning

confidence: 85%

Section: Modelmentioning

confidence: 99%

Asymmetry of nonlocal dissipation: From drift-diffusion to hydrodynamics

et al. 2019

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“…With the Hamiltonian introduced above, we can calculate the energy dissipation induced by the presence of a resonant impurity. In contrast to the 2D case, where energy dissipation originates from the particle scattering in all directions [18,19], only forward scattering at the impurity is operative in the chiral QH edge. This only introduces a phase factor in the wave function.…”

Section: Resonant Scattering and Thermal Ringsmentioning

confidence: 89%

“…The resonant character of dissipation in Eq. (15) bears similarity to resonant supercollisions in the 2D graphene bulk [18,19]. However, the chiral 1D case is distinct in several respects.…”

Section: Dissipation Induced By Resonant Impuritiesmentioning

confidence: 92%

“…Remarkably, this thermal profile is not accompanied by any electrical resistance (additional voltage drop). This should be contrasted with the case of a homogeneous edge (where nonlocal dissipation along the edge is associated with the voltage drop at the contacts), as well as with the resonant supercollisions in 2D materials [17][18][19] that lead to both local dissipation and local resistance.…”

Section: Introductionmentioning

confidence: 99%

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Dissipation without resistance: Imaging impurities at quantum Hall edges

Zhang

Gornyi

Mirlin

2020

Phys. Rev. Research

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Motivated by a recent experiment [A. Marguerite et al., Nature (London) 575, 628 (2019)] on imaging in graphene samples, we investigate theoretically the dissipation induced by resonant impurities in the quantum Hall regime. The impurity-induced forward scattering of electrons at quantum Hall edges leads to an enhanced phonon emission, which reaches its maximum when the impurity state is tuned to resonance by a scanning tip voltage. Our analysis of the effect of the tip potential on the dissipation reveals peculiar thermal rings around the impurities, consistent with experimental observations. Remarkably, this impurity-induced dissipation reveals nontrivial features that are unique for chiral one-dimensional systems such as quantum Hall edges. First, the dissipation is not accompanied by the generation of resistance. Second, this type of dissipation is highly nonlocal: A single impurity induces heat transfer to phonons along the whole edge.

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Hydrodynamic Approach to Electronic Transport in Graphene

et al. 2017

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The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. In this paper we briefly review the recent advances, both theoretical and experimental, in the hydrodynamic approach to electronic transport in graphene, focusing on viscous phenomena, Coulomb drag, non-local transport measurements, and possibilities for observing nonlinear effects.Hydrodynamics describes a great variety of phenomena around (and inside) us, including, e.g., the flow of water in rivers, seas, and oceans, atmospheric phenomena, aircraft motion, the flow of petroleum in pipelines, or the blood flow through blood vessels in humans and animals. It has been realized a long time ago that the flow of electrons in a conductor should, under certain circumstances, also obey the laws of hydrodynamics. In particular, Gurzhi 1,2 predicted that electrons can exhibit a Poiseuille-type flow 3,4 analogous to that of liquids in pipes. This should result in an initial power-law decrease of resistivity with the transverse cross-section of a sample and temperature, leading to a pronounced minimum. It has turned out, however, that an experimental realization of such a regime in a metal or a semiconductor is a highly non-trivial task. Three decades have passed before de Jong and Molenkamp 5 observed the Gurzhi effect, and even in that work the magnitude of the effect did not exceed 20%.Why is it so difficult to implement electron hydrodynamics in a laboratory experiment? In contrast to molecules of a conventional liquid, electrons move in the environment formed by the crystal lattice. Therefore, the electrons experience not only collisions among themselves, but also scatter off thermally excited lattice vibrations -phonons -as well as various lattice imperfections (impurities). The hydrodynamic regime is realized when the frequency of electron-electron collisions is much larger than the rates of both, electron-phonon and electron-impurity scattering. These two requirements limit the temperature window for the hydrodynamic flow both from above and from below, and may even be in a conflict with each other. In a typical solid, the elastic impurity scattering dominates electronic transport at low temperatures, whereas at high temperatures the leading mechanism is the electron-phonon scattering. Thus, the requirement of the electron-electron scattering being the fastest process -which is the key condition for the hydrodynamics -may only be satisfied, if at all, in an intermediate temperature range. It turns out that this regime is not well developed in conventional conductors, with the possible exception of the ultrahigh-mobility GaAs quantum wells 6-8 exhibiting negative magnetoresistance 9 and ultra-pure palladium cobaltate 10 . The experimental discovery of graphene 11 has given a new boost to the research in the field of quantum transport. In particular, it has been realized that, among other remarkable properties, graphene is an excellent material for the realization of hydrodynamic flo...

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Resonant electron-lattice cooling in graphene

Cited by 29 publications

References 29 publications

Asymmetry of nonlocal dissipation: From drift-diffusion to hydrodynamics

Asymmetry of nonlocal dissipation: From drift-diffusion to hydrodynamics

Dissipation without resistance: Imaging impurities at quantum Hall edges

Hydrodynamic Approach to Electronic Transport in Graphene

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