Shot noise in a phenomenological model of a marginal Fermi liquid

Abstract

The strange metal is a mysterious non-Fermi liquid which shows linear-in-$T$ resistivity behavior at finite temperatures, and, as found in recent experiment, vanishingly small shot noise in the linear-in-$T$ regime. Here, we investigate the shot noise of a strange metal based on a phenomenological model of marginal Fermi liquid (MFL), where fermions couple to some collective boson mode, leading to $T$-linear scattering rate at finite $T$. It is found that in the diffusive regime where the MFL scattering length is small compared to the system size, the shot noise vanishes, and the thermal noise becomes a temperature- and voltage-independent constant. Introducing additional impurity scattering increases the shot noise, and is probably consistent with the current experiment.

18 pages with 5 figures

References in corpus (19)

• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Shot Noise in Ballistic Graphene
• Linear in Temperature Resistivity and Associated Mysteries
• Co-tunneling current and shot noise in quantum dots
• Universal theory of strange metals from spatially random interactions
• Universal scaling of the critical temperature and the strange-metal scattering rate in unconventional superconductors
• Large $N$ theory of critical Fermi surfaces
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Shot noise in a strange metal
• Theory of shot noise in strange metals
• Tunable non-Fermi liquid phase from coupling to two-level systems
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Solvable models of two-level systems coupled to itinerant electrons: Robust non-Fermi liquid and quantum critical pairing
• Infinite critical boson non-Fermi liquid
• Entropy and de Haas-van Alphen oscillations of a three-dimensional marginal Fermi liquid
• Suppression of Shot Noise in a Dirty Marginal Fermi Liquid
• Infinite critical boson induced non-Fermi liquid in $d=3-\epsilon$ dimensions

Cited by in corpus (1)

• The Sound of Electrons Shattering: Current Noise Composition Laws for Electron Fractionalization