Tomographic Dynamics and Scale-Dependent Viscosity in 2D Electron Systems

Ledwith, Patrick J.; Guo, Haoyu; Shytov, A. V.; Levitov, Leonid

doi:10.1103/physrevlett.123.116601

Cited by 42 publications

(39 citation statements)

References 41 publications

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“…In particular, there will be an intermediate transport regime in which evenparity excitations have time to relax, but many odd-parity excitations do not. This interme-diate transport regime features non-local and scale-dependent conductivity and viscosity with nontrivial fractional power laws 16 . These fractional power laws are sensitive to the anomalous diffusion of the odd-parity excitations.…”

Section: Discussionmentioning

confidence: 99%

“…This hierarchy defines a new "tomographic" regime that lies in between the conventional ballistic and hydrodynamic regimes. Dynamics in the tomographic regime feature strong directional memory and slow angular relaxation, which lead to scaledependent viscosity and peculiar nonlocal effects at times t > τ * 15,16 . The new hierarchy and the resulting anomalous kinetics can be captured most naturally by representing excitations as perturbations of the Fermi surface shape with different angular structure.…”

Section: The Long-and Short-lived Modes: Angular Structure and Dynmentioning

confidence: 99%

“…Eq. (5), combined with the tomographic space-time evolution 16 , predicts gradual decollimation of the injected beam, spreading as…”

Section: The Long-and Short-lived Modes: Angular Structure and Dynmentioning

confidence: 99%

“…where t is time and x is the distance measured along the beam line, related through the scaling x ∼ t 1/2 originating from tomographic dynamics 16 . This and other related effects will be discussed in more detail in Sec.XI.…”

Section: The Long-and Short-lived Modes: Angular Structure and Dynmentioning

confidence: 99%

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The hierarchy of excitation lifetimes in two-dimensional Fermi gases

2019

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Momentum-conserving quasiparticle collisions in two-dimensional Fermi gases give rise to a large family of exceptionally long-lived excitation modes. The lifetimes of these modes exceed by a factor (TF /T ) 2 1 the conventional Landau Fermi-liquid lifetimes τ ∼ TF /T 2 . The long-lived modes have a distinct angular structure, taking the form of cos mθ and sin mθ with odd m values for a circular Fermi surface, with relaxation rate dependence on m of the form m 4 log m, valid at not-too-large m. In contrast, the even-m harmonics feature conventional lifetimes with a weak m dependence. The long-time dynamics, governed by the long-lived modes, takes the form of angular (super)diffusion over the Fermi surface. Altogether, this leads to unusual long-time memory effects, defining an intriguing transport regime that lies between the conventional ballistic and hydrodynamic regimes. CONTENTS

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Section: Discussionmentioning

confidence: 99%

Section: The Long-and Short-lived Modes: Angular Structure and Dynmentioning

confidence: 99%

“…Eq. (5), combined with the tomographic space-time evolution 16 , predicts gradual decollimation of the injected beam, spreading as…”

Section: The Long-and Short-lived Modes: Angular Structure and Dynmentioning

confidence: 99%

Section: The Long-and Short-lived Modes: Angular Structure and Dynmentioning

confidence: 99%

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The hierarchy of excitation lifetimes in two-dimensional Fermi gases

2019

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“…Despite the fact that the collision integral is not quantitatively accurate [28,29], this model is exactly solvable for many purposes, including ours. We expect that the qualitative physics described below remains relevant for realistic metals close to the hydrodynamic regime.…”

Section: Kinetic Modelmentioning

confidence: 99%

Sign of viscous magnetoresistance in electron fluids

Mandal

Lucas

2020

Phys. Rev. B

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In sufficiently clean metals, it is possible for electrons to collectively flow as a viscous fluid at finite temperature. These viscous effects have been predicted to give a notable magnetoresistance, but whether the magnetoresistance is positive or negative has been debated. We argue that regardless of the strength of inhomogeneity, bulk magnetoresistance is always positive in the hydrodynamic regime. We also compute transport in weakly inhomogeneous metals across the ballistic-to-hydrodynamic crossover, where we also find positive magnetoresistance. The non-monotonic temperature dependence of resistivity in this regime (a bulk Gurzhi effect) rapidly disappears upon turning on any finite magnetic field, suggesting that magnetotransport is a simple test for viscous effects in bulk transport, including at the onset of the hydrodynamic regime.

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Hydrodynamic approach to two-dimensional electron systems

Narozhny

2022

Riv. Nuovo Cim.

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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. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g., viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene.

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Tomographic Dynamics and Scale-Dependent Viscosity in 2D Electron Systems

Cited by 42 publications

References 41 publications

The hierarchy of excitation lifetimes in two-dimensional Fermi gases

The hierarchy of excitation lifetimes in two-dimensional Fermi gases

Sign of viscous magnetoresistance in electron fluids

Hydrodynamic approach to two-dimensional electron systems

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