The Sound of Electrons Shattering: Current Noise Composition Laws for Electron Fractionalization
arXiv:2509.25322 · doi:10.1103/2xkk-2sc6
Abstract
We develop a theory of the non-equilibrium current response for metallic systems near quantum critical points where electronic quasiparticles fractionalize, such as systems near continuous metal-insulator transitions or composite Fermi liquid to Fermi liquid transitions. Applying a generalized response theory within a Keldysh path integral framework, we derive a non-perturbative current noise composition law, wherein the total noise is the sum of the noise of each fractionalized constituent (bosonic holons and fermionic spinons), weighted by their respective resistivities. We demonstrate that the formally derived composition relations can be interpreted in terms of a simple analogy with resistors in series. We leverage this composition rule near certain quantum critical points to show that the shot noise can be suppressed in long nanowires as compared to Fermi liquid expectations due to the collusion of quantum criticality with fractionalization.
6 + 5 pages; 1 figure
References in corpus (24)
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Quantum Criticality in Heavy Fermion Metals
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
- Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
- Continuous Mott transition in semiconductor moiré superlattices
- Quantum Criticality in Twisted Transition Metal Dichalcogenides
- Theory of a continuous Mott transition in two dimensions
- Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
- Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe
- Thirty Years of Composite Fermions and Beyond
- Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
- Zero-field composite Fermi liquid in twisted semiconductor bilayers
- Electron pairing in the pseudogap state revealed by shot noise in copper-oxide junctions
- Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
- Shot noise in a strange metal
- Phase transitions out of quantum Hall states in moiré materials
- Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
- Shot-noise evidence of fractional quasiparticle creation in a local fractional quantum Hall state
- Current fluctuations near to the 2D superconductor-insulator quantum critical point
- Theory of shot noise in strange metals
- Suppression of Shot Noise in a Dirty Marginal Fermi Liquid
- Shot noise and universal Fano factor as characterization of strongly correlated metals
- Shot noise in a phenomenological model of a marginal Fermi liquid