Electron-Electron Collisions and a New Hydrodynamic Effect in Two-Dimensional Electron Gas

Rn, Gurzhi; Kalinenko, A. N.; Ai, Kopeliovich

doi:10.1103/physrevlett.74.3872

Cited by 83 publications

(61 citation statements)

References 4 publications

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“…Note that w andw are related by duality as well. We also note that the form of the matrix element (13) is antisymmetric under duality, as required by Fermi statistics, and so |V | 2 is invariant. We note parenthetically that, while the rectangular geometry of collisions with parabolic dispersion appears to be used in a crucial way here, in fact we have chosen to work with parabolic dispersion only for convenience.…”

Section: Extending the Analysis To Small Q: Duality Transformatiomentioning

confidence: 92%

“…This picture, well established theoretically and thoroughly tested experimentally in 3D Fermi liquids, 10,11 must undergo a substantial revision in two dimensions. The new behavior arises due to the interplay between kinematics of elastic collisions and fermion exclusion, which render the head-on collisions the dominant mechanism of angular relaxation [12][13][14] . A new family of emergent conserved quantities, resulting from such dynamics, gives rise to a new hierarchy of time scales.…”

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: Extending the Analysis To Small Q: Duality Transformatiomentioning

confidence: 92%

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

confidence: 99%

The hierarchy of excitation lifetimes in two-dimensional Fermi gases

2019

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“…In this case, the combined effect of momentum-conserving e-e and nonconserving diffusive boundary scattering 30 leads to interesting phenomena such as the Gurzhi effect, an electronic analog of Poiseuille flow which has a counter-intuitive impact on the longitudinal conductivity. In this regard, superballistic flow exceeding upper bounds established for the conductance of noninteracting systems has been reported and was attributed to the collective motion of interacting electrons which reduces momentum loss at the boundary [30][31][32][33][34] . Negative nonlocal voltages appearing near current injection points due to spatially arXiv:1806.11480v1 [cond-mat.mes-hall] 29 Jun 2018 inhomogeneous current flow and vorticity has been detected in recent experiments on graphene [35][36][37][38] .…”

Section: Introductionmentioning

confidence: 99%

Collision-dominated conductance in clean two-dimensional metals

2018

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We study the temperature-dependent corrections to the conductance due to electron-electron (ee) interactions in clean two-dimensional conductors, such as lightly doped graphene or other Dirac matter. We use semiclassical Boltzmann kinetic theory to solve the problem of collision-dominated transport between reflection-free contacts. Time-reversal symmetry and the kinematic constraints of scattering in two dimensions (2D) ensure that inversion-odd and inversion-even distortions of the quasiparticle distribution relax with parametrically different rates at low temperature. This entails the surprising result that at lowest temperatures the conductance of very long samples tends to the noninteracting, ballistic conductance, despite the relaxation of the quasiparticle distribution to a drifting equilibrium. The relative correction to the conductance depends on the ratio of relaxation rates of even and odd modes and scales as δG/G ballistic ∼ (T /εF ) log ε F T , in stark contrast to the behavior in other dimensionalities. This holds generally in 2D systems with simply connected and convex but otherwise arbitrary Fermi surfaces, as long as e-e scattering processes are dominant and umklapp scattering is negligible. These results are especially relevant to the bulk of wide and long suspended high-mobility graphene sheets.

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“…The curves at the panel (b) are drawn according to Eqs. (5) and (12) with the numerical parameters presented in the main text.…”

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confidence: 99%

Negative Magnetoresistance in Viscous Flow of Two-Dimensional Electrons

2016

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At low temperatures, in very clean two-dimensional (2D) samples, the electron mean free path for collisions with static defects and phonons becomes greater than the sample width. Under this condition, the electron transport occurs by formation of a viscous flow of an electron fluid. We study the viscous flow of 2D electrons in a magnetic field perpendicular to the 2D layer. We calculate the viscosity coefficients as the functions of magnetic field and temperature. The off-diagonal viscosity coefficient determines the dispersion of the 2D hydrodynamic waves. The decrease of the diagonal viscosity in magnetic field leads to negative magnetoresistance which is temperature and size dependent. Our analysis demonstrates that this viscous mechanism is responsible for the giant negative magnetoresistance recently observed in the ultrahigh-mobility GaAs quantum wells. We conclude that 2D electrons in those structures in moderate magnetic fields should be treated as a viscous fluid.

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Electron-Electron Collisions and a New Hydrodynamic Effect in Two-Dimensional Electron Gas

Cited by 83 publications

References 4 publications

The hierarchy of excitation lifetimes in two-dimensional Fermi gases

The hierarchy of excitation lifetimes in two-dimensional Fermi gases

Collision-dominated conductance in clean two-dimensional metals

Negative Magnetoresistance in Viscous Flow of Two-Dimensional Electrons

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