Planckian properties of 2D semiconductor systems

Abstract

We describe and discuss the low-temperature resistivity (and the temperature-dependent inelastic scattering rate) of several different doped 2D semiconductor systems from the perspective of the Planckian hypothesis asserting that $\hslash /\tau =k_{\mathrm{B}}T$ provides a scattering bound, where $\tau$ is the appropriate relaxation time. The regime of transport considered here is well-below the Bloch-Gruneisen regime so that phonon scattering is negligible. The temperature-dependent part of the resistivity is almost linear-in-$T$ down to arbitrarily low temperatures, with the linearity arising from an interplay between screening and disorder, connected with carrier scattering from impurity-induced Friedel oscillations. The temperature dependence disappears if the Coulomb interaction between electrons is suppressed. The temperature coefficient of the resistivity is enhanced at lower densities, enabling a detailed study of the Planckian behavior both as a function of the materials system and carrier density. Although the precise Planckian bound never holds, we find somewhat surprisingly that the bound seems to apply approximately with the scattering rate never exceeding $k_{\mathrm{B}}T$ by more than an order of magnitude either in the experiment or in the theory. In addition, we calculate the temperature-dependent electron-electron inelastic scattering rate by obtaining the temperature-dependent self-energy arising from Coulomb interaction, also finding it to obey the Planckian bound within an order of magnitude at all densities and temperatures. We introduce the concept of a generalized Planckian bound where $\hslash /\tau$ is bounded by $\alpha k_{\mathrm{B}}T$ with $\alpha \sim 10$ or so in the super-Planckian regime with the strict Planckian bound of $\alpha$=1 being a nongeneric finetuned situation.

21 pages, 9 figures. Revised version with new results, figures, and references

References in corpus (23)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Controlling electron-phonon interactions in graphene at ultra high carrier densities
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Theory of universal incoherent metallic transport
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Quantum critical behavior in magic-angle twisted bilayer graphene
• The Observation of Percolation-Induced 2D Metal-Insulator Transition in a Si MOSFET
• Universal scaling of the critical temperature and the strange-metal scattering rate in unconventional superconductors
• An upper bound on transport
• Transport and percolation in a low-density high-mobility two-dimensional hole system
• Chirality-dependent phonon-limited resistivity in multiple layers of graphene
• Non-Fermi liquid transport in the vicinity of nematic quantum critical point of FeSe${}_{1-x}$S${}_x$ superconductor
• Bound on quantum scrambling with all-to-all interactions
• Are Heavy Fermion Strange Metals Planckian?
• Strange semimetal dynamics in SrIrO${}_3$
• Exact Universal Chaos, Speed Limit, Acceleration, Planckian Transport Coefficient, "Collapse" to equilibrium, and Other Bounds in Thermal Quantum Systems
• Strange metallicity of moiré twisted bilayer graphene
• Temperature-linear Resistivity in Twisted Double Bilayer Graphene
• A counterexample to the conjectured Planckian bound on transport
• Interplay between phonon and impurity scattering in 2D hole transport
• Valley-dependent 2D transport in Si-MOSFETs
• Fragile versus stable two-dimensional fermionic quasiparticles

Cited by in corpus (10)

• Universal theory of strange metals from spatially random interactions
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• Quantum acoustics unravels Planckian resistivity
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Investigation of Planckian behavior in a high-conductivity oxide: PdCrO${}_2$
• Apparent Kondo effect in Moiré TMD bilayers: Heavy fermions or disorder?
• The Strange Metal State of the high-Tc Cuprates
• Negative intercept of the apparent zero-temperature extrapolated linear-in-$T$ metallic resistivity
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Interaction-enhanced quantum to classical transport crossover temperature in a Luttinger liquid