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arxiv: 2502.10265 · v2 · submitted 2025-02-14 · ❄️ cond-mat.mes-hall · cond-mat.quant-gas· cond-mat.stat-mech

Superballistic paradox in electron fluids: Evidence of tomographic transport

Jorge Estrada-\'Alvarez , Elena D\'iaz , Francisco Dom\'inguez-Adame This is my paper

Pith reviewed 2026-05-23 03:04 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.quant-gascond-mat.stat-mech
keywords electron hydrodynamicssuperballistic conductionGurzhi effecttomographic transportfermionic electrons2D materialsgraphene
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0 comments X

The pith

Tomographic dynamics with head-on-only collisions resolves the superballistic conduction paradox in electron fluids.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper addresses why superballistic conduction, or the Gurzhi effect, appears at near-zero temperatures in 2D materials like graphene, contrary to expectations that it requires intermediate temperatures in the hydrodynamic regime. By modeling electron flow with tomographic dynamics instead of classical particle dynamics, where only head-on collisions are permitted, the model shows strengthened superballistic behavior from low temperatures. This approach treats electrons as fermions and accounts for differences from the Molenkamp effect and conventional fluids. A sympathetic reader would care because it suggests ways to achieve low-dissipation electron transport in devices at practical temperatures.

Core claim

Replacing the classical dynamics with tomographic dynamics, where only head-on collisions are allowed between electrons, solves the dilemma of superballistic conduction starting at close-to-zero temperatures. This strengthens superballistic conduction, with potential applications in low-dissipation devices, and explains its differences with the Molenkamp effect and conventional fluids dynamics. The study reveals that the superballistic paradox is resolved by considering the electrons not as classical particles but as fermions.

What carries the argument

Tomographic dynamics where only head-on collisions are allowed between electrons, replacing classical particle dynamics in hydrodynamic flow models.

If this is right

  • Superballistic conduction strengthens and begins at close-to-zero temperatures.
  • The Gurzhi effect shows clear differences from the Molenkamp effect.
  • Electron fluids behave differently from conventional fluids due to the fermionic restriction.
  • Low-dissipation devices become feasible using this transport at accessible temperatures.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar tomographic restrictions could appear in other fermionic systems such as certain quantum wires or topological materials.
  • Angle-resolved scattering measurements in graphene devices might directly test the head-on dominance at low temperatures.
  • The approach suggests re-examining viscous flow models in other 2D electron systems for fermionic signatures.

Load-bearing premise

Electrons in the studied 2D materials obey tomographic dynamics restricted to head-on collisions rather than classical particle dynamics.

What would settle it

An experiment in which superballistic conduction fails to appear at low temperatures under conditions enforcing only head-on collisions, or persists when such collisions are suppressed, would falsify the resolution.

Figures

Figures reproduced from arXiv: 2502.10265 by Elena D\'iaz, Francisco Dom\'inguez-Adame, Jorge Estrada-\'Alvarez.

Figure 1
Figure 1. Figure 1: FIG. 1. Superballistic paradox scheme. (a) Inspired by con [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Classical dynamics. (a) Electrons can collide regardless of their direction of movement, allowing for the relaxation [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Tomographic dynamics. (a) Only head-on collisions are allowed between electrons, so odd parity modes do not relax. [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Molenkamp effect scheme. (a) Resistance as a func [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

Electron hydrodynamics encompasses the exotic fluid-like behavior of electrons in two-dimensional materials such as graphene. It accounts for superballistic conduction, also known as the Gurzhi effect, where increasing temperature reduces the electrical resistance. In analogy with conventional fluids, the Gurzhi effect is only expected in the hydrodynamic regime, with the decrease in the resistance occurring at intermediate temperatures. Nonetheless, experiments on electron fluids consistently show that superballistic conduction starts at close-to-zero temperatures. To address this paradox, we study hydrodynamic flow, and we find that replacing the classical dynamics with tomographic dynamics, where only head-on collisions are allowed between electrons, solves the dilemma. The latter strengthens superballistic conduction, with potential applications in low-dissipation devices, and explains its differences with the Molenkamp effect and conventional fluids dynamics. Our study reveals that the superballistic paradox is resolved by considering the electrons not as classical particles but as fermions.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript claims that the superballistic (Gurzhi) paradox—superballistic conduction appearing at near-zero temperatures in 2D electron fluids, contrary to standard hydrodynamic expectations—is resolved by replacing classical particle dynamics with tomographic dynamics in which electron-electron collisions are restricted to head-on (180°) scattering. This fermionic restriction is asserted to strengthen the effect at arbitrarily low T, distinguish it from the Molenkamp effect and classical fluids, and explain experimental observations in materials such as graphene.

Significance. If the central claim holds, the work would supply a microscopic rationale for the unexpectedly low onset temperature of superballistic flow and underscore the necessity of treating electrons as fermions rather than classical particles in hydrodynamic models. It could guide design of low-dissipation devices and clarify distinctions among electron-fluid phenomena.

major comments (2)
  1. [Abstract] Abstract: The assertion that a collision operator limited to head-on scattering produces dR/dT < 0 already at T→0 is introduced without an explicit reduction of the full Pauli-blocked fermionic Boltzmann collision integral (including its angular dependence on the Fermi surface) to the claimed 180°-only form; the low-T onset therefore remains an assumption rather than a derived result.
  2. [Abstract] The hydrodynamic equations with the tomographic operator are stated to resolve the paradox, yet no derivation or explicit form of the modified collision integral is supplied that would allow verification that the operator indeed yields the reported temperature dependence without additional fitting parameters.
minor comments (1)
  1. [Abstract] The abstract refers to 'the studied 2D materials' without naming them or citing the relevant experiments; a brief specification would improve clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments. Below we respond point-by-point to the major comments, indicating revisions that will be incorporated to strengthen the presentation of the derivation.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The assertion that a collision operator limited to head-on scattering produces dR/dT < 0 already at T→0 is introduced without an explicit reduction of the full Pauli-blocked fermionic Boltzmann collision integral (including its angular dependence on the Fermi surface) to the claimed 180°-only form; the low-T onset therefore remains an assumption rather than a derived result.

    Authors: We agree that the abstract is concise and does not contain the full reduction. The main text starts from the Pauli-blocked fermionic Boltzmann integral on the 2D Fermi surface and shows that energy-momentum conservation together with the exclusion principle restricts the contributing processes to 180° scattering; the resulting effective operator then produces dR/dT < 0 at arbitrarily low T. To make this explicit and verifiable, we will add a dedicated paragraph or subsection that performs the angular reduction step by step. revision: yes

  2. Referee: [Abstract] The hydrodynamic equations with the tomographic operator are stated to resolve the paradox, yet no derivation or explicit form of the modified collision integral is supplied that would allow verification that the operator indeed yields the reported temperature dependence without additional fitting parameters.

    Authors: The referee is correct that an explicit mathematical expression for the tomographic collision integral would facilitate independent verification. In the manuscript the operator is obtained by projecting the full fermionic integral onto the head-on channel, yielding a form whose only temperature dependence enters through the standard T² Fermi-liquid scattering rate and contains no adjustable parameters. We will include the explicit integral expression and the resulting hydrodynamic equations in the revised main text. revision: yes

Circularity Check

0 steps flagged

No circularity; central claim is an explicit modeling assumption, not a derived reduction.

full rationale

The paper asserts that replacing classical particle dynamics with tomographic dynamics (head-on collisions only) resolves the low-T superballistic paradox. This replacement is presented directly as the solution without any internal derivation chain that reduces a claimed prediction back to fitted parameters, self-citations, or definitional inputs. No equations or load-bearing steps are visible that would trigger the enumerated circularity patterns; the outcome follows tautologically from the stated ansatz rather than from any hidden self-referential construction. The derivation is therefore self-contained as a proposed model choice.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that electrons follow tomographic dynamics with head-on collisions only; no free parameters, invented entities, or additional axioms are identifiable from the abstract.

axioms (1)
  • domain assumption Electrons in 2D materials obey tomographic dynamics restricted to head-on collisions (as opposed to classical particle dynamics).
    Directly invoked as the mechanism that solves the superballistic paradox.

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Reference graph

Works this paper leans on

71 extracted references · 71 canonical work pages

  1. [1]

    Varnavides, A

    G. Varnavides, A. Yacoby, C. Felser, and P. Narang, Charge transport and hydrodynamics in materials, Nat. Rev. Mater. 8, 726 (2023)

    work page 2023

  2. [2]

    B. N. Narozhny, Hydrodynamic approach to two- dimensional electron systems, Riv. Nuovo Cimento 45, 661 (2022)

    work page 2022

  3. [3]

    Polini and A

    M. Polini and A. K. Geim, Viscous electron fluids, Phys. Today 73, 28 (2020)

    work page 2020

  4. [4]

    Baker, M

    G. Baker, M. Moravec, and A. P. Mackenzie, A perspec- tive on non-local electronic transport in metals: Viscous, ballistic, and beyond, Ann. Phys. 536, 2400087 (2024)

    work page 2024

  5. [5]

    Y. A. Pusep, M. Teodoro, V. Laurindo Jr, E. C. de Oliveira, G. Gusev, and A. Bakarov, Diffusion of pho- toexcited holes in a viscous electron fluid, Phys. Rev. Lett. 128, 136801 (2022)

    work page 2022

  6. [6]

    Alekseev, Negative magnetoresistance in viscous flow of two-dimensional electrons, Phys

    P. Alekseev, Negative magnetoresistance in viscous flow of two-dimensional electrons, Phys. Rev. Lett. 117, 166601 (2016)

    work page 2016

  7. [7]

    D. I. Sarypov, D. A. Pokhabov, A. G. Pogosov, E. Y. Zhdanov, A. A. Shevyrin, A. K. Bakarov, and A. A. Shklyaev, Temperature dependence of electron viscosity in superballistic GaAs point contacts, Phys. Rev. Lett. 134, 026302 (2025)

    work page 2025

  8. [8]

    A. C. Keser, D. Q. Wang, O. Klochan, D. Y. Ho, O. A. Tkachenko, V. A. Tkachenko, D. Culcer, S. Adam, I. Far- rer, D. A. Ritchie, et al., Geometric control of universal hydrodynamic flow in a two-dimensional electron fluid, Phys. Rev. X 11, 031030 (2021)

    work page 2021

  9. [9]

    Z. T. Wang, M. Hilke, N. Fong, D. G. Austing, S. A. Studenikin, K. W. West, and L. N. Pfeiffer, Nonlinear transport phenomena and current-induced hydrodynam- ics in ultrahigh mobility two-dimensional electron gas, Phys. Rev. B 107, 195406 (2023)

    work page 2023

  10. [10]

    Gupta, J

    A. Gupta, J. J. Heremans, G. Kataria, M. Chandra, S. Fallahi, G. C. Gardner, and M. J. Manfra, Hydro- dynamic and ballistic transport over large length scales in GaAs/AlGaAs, Phys. Rev. Lett. 126, 076803 (2021)

    work page 2021

  11. [11]

    P. J. Moll, P. Kushwaha, N. Nandi, B. Schmidt, and A. P. Mackenzie, Evidence for hydrodynamic electron flow in PdCoO2, Science 351, 1061 (2016)

    work page 2016

  12. [12]

    Talanov, J

    A. Talanov, J. Waissman, A. Hui, B. Skinner, K. Watan- abe, T. Taniguchi, and P. Kim, Observation of electronic viscous dissipation in graphene magneto-thermal trans- port, arXiv preprint arXiv:2406.13799 (2024)

    work page arXiv 2024

  13. [13]

    Sano and M

    R. Sano and M. Matsuo, Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime, Phys. Rev. Lett. 130, 166201 (2023)

    work page 2023

  14. [14]

    J. A. Sulpizio, L. Ella, A. Rozen, J. Birkbeck, D. J. Perello, D. Dutta, M. Ben-Shalom, T. Taniguchi, K. Watanabe, T. Holder, et al. , Visualizing Poiseuille flow of hydrodynamic electrons, Nature 576, 75 (2019)

    work page 2019

  15. [15]

    Jenkins, S

    A. Jenkins, S. Baumann, H. Zhou, S. A. Meynell, Y. Daipeng, K. Watanabe, T. Taniguchi, A. Lucas, A. F. Young, and A. C. B. Jayich, Imaging the breakdown of ohmic transport in graphene, Phys. Rev. Lett. 129, 087701 (2022)

    work page 2022

  16. [16]

    Aharon-Steinberg, T

    A. Aharon-Steinberg, T. V¨ olkl, A. Kaplan, A. K. Pariari, I. Roy, T. Holder, Y. Wolf, A. Y. Meltzer, Y. Myasoedov, M. E. Huber, et al., Direct observation of vortices in an electron fluid, Nature 607, 74 (2022)

    work page 2022

  17. [17]

    M. L. Palm, C. Ding, W. S. Huxter, T. Taniguchi, K. Watanabe, and C. L. Degen, Observation of current whirlpools in graphene at room temperature, Science 384, 465 (2024)

    work page 2024

  18. [18]

    Bandurin, I

    D. Bandurin, I. Torre, R. K. Kumar, M. Ben Shalom, A. Tomadin, A. Principi, G. Auton, E. Khestanova, K. Novoselov, I. Grigorieva, et al. , Negative local resis- tance caused by viscous electron backflow in graphene, Science 351, 1055 (2016)

    work page 2016

  19. [19]

    Falkovich and L

    G. Falkovich and L. Levitov, Linking spatial distributions of potential and current in viscous electronics, Phys. Rev. Lett. 119, 066601 (2017)

    work page 2017

  20. [20]

    Kravtsov, A

    M. Kravtsov, A. L. Shilov, Y. Yang, T. Pryadilin, M. A. Kashchenko, O. Popova, M. Titova, D. Voropaev, Y. Wang, K. Shein, et al. , Viscous terahertz photocon- ductivity of hydrodynamic electrons in graphene, Nat. Nanotech. 20, 51 (2024)

    work page 2024

  21. [21]

    Estrada- ´Alvarez, E

    J. Estrada- ´Alvarez, E. D´ ıaz Garc´ ıa, and F. Dominguez- Adame, Negative differential resistance of viscous elec- tron flow in graphene, 2D Mater. 12, 015012 (2024)

    work page 2024

  22. [22]

    R. N. Gurzhi, Minimum of resistance in impurity-free conductors, Sov. Phys. JETP 17, 521 (1963)

    work page 1963

  23. [23]

    R. N. Gurzhi, Hydrodynamic effects in solids at low tem- perature, Sov. Phys. Uspekhi 11, 255 (1968)

    work page 1968

  24. [24]

    Huang, T

    W. Huang, T. Paul, M. L. Perrin, and M. Calame, Elimi- nating the channel resistance in two-dimensional systems using viscous charge flow, 2D Mater. 11, 033001 (2024)

    work page 2024

  25. [25]

    Stern, T

    A. Stern, T. Scaffidi, O. Reuven, C. Kumar, J. Birkbeck, and S. Ilani, How electron hydrodynamics can eliminate the Landauer-Sharvin resistance, Phys. Rev. Lett. 129, 157701 (2022)

    work page 2022

  26. [26]

    Krishna Kumar, D

    R. Krishna Kumar, D. Bandurin, F. Pellegrino, Y. Cao, A. Principi, H. Guo, G. Auton, M. Ben Shalom, L. A. Ponomarenko, G. Falkovich, et al. , Superballistic flow of viscous electron fluid through graphene constrictions, Nat. Phys. 13, 1182 (2017)

    work page 2017

  27. [27]

    H. Guo, E. Ilseven, G. Falkovich, and L. S. Levi- tov, Higher-than-ballistic conduction of viscous electron flows, PNAS USA 114, 3068 (2017)

    work page 2017

  28. [28]

    Estrada- ´Alvarez, F

    J. Estrada- ´Alvarez, F. Berm´ udez-Mendoza, F. Dom´ ınguez-Adame, and E. D´ ıaz, Optimal ge- ometries for low-resistance viscous electron flow, Phys. Rev. B 111, 075401 (2025)

    work page 2025

  29. [29]

    R. N. Gurzhi, A. N. Kalinenko, and A. I. Kopeliovich, Electron-electron collisions and a new hydrodynamic ef- fect in two-dimensional electron gas, Phys. Rev. Lett.74, 3872 (1995)

    work page 1995

  30. [30]

    V. T. Renard, O. A. Tkachenko, V. A. Tkachenko, 6 T. Ota, N. Kumada, J.-C. Portal, and Y. Hi- rayama, Boundary-mediated electron-electron interac- tions in quantum point contacts, Phys. Rev. Lett. 100, 186801 (2008)

    work page 2008

  31. [31]

    L. V. Ginzburg, C. Gold, M. P. R¨ o¨ osli, C. Reichl, M. Berl, W. Wegscheider, T. Ihn, and K. Ensslin, Superballistic electron flow through a point contact in a Ga[Al]As het- erostructure, Phys. Rev. Res. 3, 023033 (2021)

    work page 2021

  32. [32]

    Estrada- ´Alvarez, J

    J. Estrada- ´Alvarez, J. Salvador-S´ anchez, A. P´ erez- Rodr´ ıguez, C. S´ anchez-S´ anchez, V. Cleric` o, D. Vaquero, K. Watanabe, T. Taniguchi, E. Diez, F. Dom´ ınguez- Adame, M. Amado, and E. D´ ıaz, Superballistic con- duction in hydrodynamic antidot graphene superlattices, arXiv preprint arXiv:2407.04527 (2024)

    work page arXiv 2024

  33. [33]

    K. E. Nagaev and O. S. Ayvazyan, Effects of electron- electron scattering in wide ballistic microcontacts, Phys. Rev. Lett. 101, 216807 (2008)

    work page 2008

  34. [34]

    L. V. Ginzburg, Y. Wu, M. P. R¨ o¨ osli, P. R. Gomez, R. Garreis, C. Tong, V. Star´ a, C. Gold, K. Nazaryan, S. Kryhin, et al. , Long distance electron-electron scat- tering detected with point contacts, Phys. Rev. Res. 5, 043088 (2023)

    work page 2023

  35. [35]

    Y. Zeng, H. Guo, O. M. Ghosh, K. Watanabe, T. Taniguchi, L. S. Levitov, and C. R. Dean, Quantita- tive measurement of viscosity in two-dimensional electron fluids, arXiv preprint arXiv:2407.05026 (2024)

    work page arXiv 2024

  36. [36]

    Knudsen, Die gesetze der molekularstr¨ omung und der inneren reibungsstr¨ omung der gase durch r¨ ohren, Ann

    M. Knudsen, Die gesetze der molekularstr¨ omung und der inneren reibungsstr¨ omung der gase durch r¨ ohren, Ann. Phys. 333, 75 (1909)

    work page 1909

  37. [37]

    Tatsios, S

    G. Tatsios, S. K. Stefanov, and D. Valougeorgis, Predict- ing the Knudsen paradox in long capillaries by decom- posing the flow into ballistic and collision parts, Phys. Rev. E 91, 061001 (2015)

    work page 2015

  38. [38]

    Ledwith, H

    P. Ledwith, H. Guo, A. Shytov, and L. Levitov, Tomo- graphic dynamics and scale-dependent viscosity in 2D electron systems, Phys. Rev. Lett. 123, 116601 (2019)

    work page 2019

  39. [39]

    Afanasiev, P

    A. Afanasiev, P. Alekseev, A. Greshnov, and M. Semina, Ballistic-hydrodynamic phase transition in flow of two- dimensional electrons, Phys. Rev. B 104, 195415 (2021)

    work page 2021

  40. [40]

    Rostami, N

    H. Rostami, N. Ben-Shachar, S. Moroz, and J. Hofmann, Magnetic-field suppression of tomographic electron trans- port, arXiv preprint arXiv:2411.08102 (2024)

    work page arXiv 2024

  41. [41]

    Holder, R

    T. Holder, R. Queiroz, T. Scaffidi, N. Silberstein, A. Rozen, J. A. Sulpizio, L. Ella, S. Ilani, and A. Stern, Ballistic and hydrodynamic magnetotransport in narrow channels, Phys. Rev. B 100, 245305 (2019)

    work page 2019

  42. [42]

    Estrada- ´Alvarez, F

    J. Estrada- ´Alvarez, F. Dom´ ınguez-Adame, and E. D´ ıaz, Alternative routes to electron hydrodynamics, Commun. Phys. 7, 138 (2024)

    work page 2024

  43. [43]

    P. S. Alekseev and A. P. Dmitriev, Hydrodynamic mag- netotransport in two-dimensional electron systems with macroscopic obstacles, Phys. Rev. B 108, 205413 (2023)

    work page 2023

  44. [44]

    P. S. Alekseev and M. A. Semina, Ballistic flow of two-dimensional interacting electrons, Phys. Rev. B 98, 165412 (2018)

    work page 2018

  45. [45]

    See Supplemental Material for more details

    work page

  46. [46]

    Tomadin, G

    A. Tomadin, G. Vignale, and M. Polini, Corbino disk viscometer for 2D quantum electron liquids, Phys. Rev. Lett. 113, 235901 (2014)

    work page 2014

  47. [47]

    P. S. Alekseev and A. P. Alekseeva, Transverse mag- netosonic waves and viscoelastic resonance in a two- dimensional highly viscous electron fluid, Phys. Rev. Lett. 123, 236801 (2019)

    work page 2019

  48. [48]

    Principi, G

    A. Principi, G. Vignale, M. Carrega, and M. Polini, Bulk and shear viscosities of the two-dimensional electron liq- uid in a doped graphene sheet, Phys. Rev. B 93, 125410 (2016)

    work page 2016

  49. [49]

    U. Gran, E. Nilsson, and J. Hofmann, Shear viscosity in interacting two-dimensional Fermi liquids, arXiv preprint arXiv:2312.09977 (2023)

    work page arXiv 2023

  50. [50]

    P. G. Ciarlet, The finite element method for elliptic prob- lems (SIAM, 2002)

    work page 2002

  51. [51]

    Engwirda and D

    D. Engwirda and D. Ivers, Off-centre Steiner points for Delaunay-refinement on curved surfaces, Comput. Aided Des. 72, 157 (2016)

    work page 2016

  52. [52]

    Callaway, Model for lattice thermal conductivity at low temperatures, Phys

    J. Callaway, Model for lattice thermal conductivity at low temperatures, Phys. Rev. 113, 1046 (1959)

    work page 1959

  53. [53]

    M¨ uller, J

    M. M¨ uller, J. Schmalian, and L. Fritz, Graphene: A nearly perfect fluid, Phys. Rev. Lett. 103, 025301 (2009)

    work page 2009

  54. [54]

    E. I. Kiselev and J. Schmalian, Boundary conditions of viscous electron flow, Phys. Rev. B 99, 035430 (2019)

    work page 2019

  55. [55]

    J. Maki, U. Gran, and J. Hofmann, Odd-parity effect and scale-dependent viscosity in atomic quantum gases, arXiv preprint arXiv:2408.02738 (2024)

    work page arXiv 2024

  56. [56]

    Nilsson, U

    E. Nilsson, U. Gran, and J. Hofmann, Nonequilibrium relaxation and odd-even effect in finite-temperature elec- tron gases, arXiv preprint arXiv:2405.03635 (2024)

    work page arXiv 2024

  57. [57]

    Hofmann and S

    J. Hofmann and S. D. Sarma, Collective modes in inter- acting two-dimensional tomographic fermi liquids, Phys. Rev. B 106, 205412 (2022)

    work page 2022

  58. [58]

    Hofmann and U

    J. Hofmann and U. Gran, Anomalously long lifetimes in two-dimensional Fermi liquids, Phys. Rev. B 108, L121401 (2023)

    work page 2023

  59. [59]

    Q. Hong, M. Davydova, P. J. Ledwith, and L. Levitov, Superscreening by a retroreflected hole backflow in tomo- graphic electron fluids, Phys. Rev. B 109, 085126 (2024)

    work page 2024

  60. [60]

    P. S. Alekseev and A. P. Dmitriev, Viscosity of two- dimensional electrons, Phys. Rev. B 102, 241409 (2020)

    work page 2020

  61. [61]

    P. J. Ledwith, H. Guo, and L. Levitov, The hierarchy of excitation lifetimes in two-dimensional Fermi gases, Ann. Phys. 411, 167913 (2019)

    work page 2019

  62. [62]

    Kryhin and L

    S. Kryhin and L. Levitov, Two-dimensional electron gases as non-Newtonian fluids, Low Temp. Phys.49, 1402 (2023)

    work page 2023

  63. [63]

    Kryhin, Q

    S. Kryhin, Q. Hong, and L. Levitov, T –linear con- ductance in electron hydrodynamics, arXiv preprint arXiv:2310.08556 (2023)

    work page arXiv 2023

  64. [64]

    R. N. Gurzhi, A. N. Kalinenko, and A. I. Kope- liovich, Electron-electron momentum relaxation in a two- dimensional electron gas, Phys. Rev. B 52, 4744 (1995)

    work page 1995

  65. [65]

    Hofmann and H

    J. Hofmann and H. Rostami, Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids, Phys. Rev. Res. 6, L042042 (2024)

    work page 2024

  66. [66]

    Moiseenko, E

    I. Moiseenko, E. M¨ onch, K. Kapralov, D. Bandurin, S. Ganichev, and D. Svintsov, Testing the tomographic Fermi liquid hypothesis with high-order cyclotron reso- nance, arXiv preprint arXiv:2409.05147 (2024)

    work page arXiv 2024

  67. [67]

    Zhu and S

    Y. Zhu and S. Granick, Limits of the hydrodynamic no-slip boundary condition, Physical review letters 88, 106102 (2002)

    work page 2002

  68. [68]

    Dongari, A

    N. Dongari, A. Sharma, and F. Durst, Pressure-driven diffusive gas flows in micro-channels: from the Knudsen to the continuum regimes, Microfluid. Nanofluidics6, 679 (2009)

    work page 2009

  69. [69]

    Huang, T

    W. Huang, T. Paul, K. Watanabe, T. Taniguchi, M. L. Perrin, and M. Calame, Electronic Poiseuille flow in hexagonal boron nitride encapsulated graphene field ef- 1 fect transistors, Phys. Rev. Res. 5, 023075 (2023)

    work page 2023

  70. [70]

    M. J. M. de Jong and L. W. Molenkamp, Hydrodynamic electron flow in high-mobility wires, Phys. Rev. B 51, 13389 (1995)

    work page 1995

  71. [71]

    L. W. Molenkamp and M. J. M. de Jong, Electron- electron-scattering-induced size effects in a two- dimensional wire, Phys. Rev. B 49, 5038 (1994). Supplemental Materials Superballistic paradox in electron fluids: Evidence of tomographic transport BOL TZMANN TRANSPOR T EQUA TION We solve the Boltzmann transport equation to describe ballistic, tomographic, ...

    work page 1994