Many electron theory of 1/f-noise in hopping conductivity

Abstract

We show that $1/f$-noise in the variable range hopping regime is related to transitions of many-electrons clusters (fluctuators) between two almost degenerate states. Giant fluctuation times necessary for $1/f$-noise are provided by slow rate of simultaneous tunneling of many localized electrons and by large activation barriers for their consecutive rearrangements. The Hooge constant steeply grows with decreasing temperature because it is easier to find a slow fluctuator at lower temperatures. Our conclusions qualitatively agree with the low temperature observations of $1/f$-noise in p-type silicon and GaAs.

References in corpus (2)

• Why Study Noise due to Two Level Systems: A Suggestion for Experimentalists
• 1/f noise in a dilute GaAs two-dimensional hole system in the insulating phase

Cited by in corpus (26)

• 1/f noise: implications for solid-state quantum information
• Electron Glass Dynamics
• Modeling scaled processes and 1/f^b noise by the nonlinear stochastic differential equations
• Low temperature 1/f noise in microwave dielectric constant of amorphous dielectrics in Josephson qubits
• 1/f Tunnel Current Noise through Si-bound Alkyl Monolayers
• 1/f Tunnel Current Noise through Si-bound Alkyl Monolayers
• Memory effects in transport through a hopping insulator: Understanding two-dip experiments
• Nuclear spin warm-up in bulk n-GaAs
• Low-Frequency Electronic Noise in Superlattice and Random-Packed Thin Films of Colloidal Quantum Dots
• Statistics of Deep Energy States in Coulomb Glasses
• Realistic Tunneling States for the Magnetic Effects in Non-Metallic Real Glasses
• Non-Gaussian resistance noise in the ferromagnetic insulating state of a hole doped manganite
• An Ising-Glauber Spin Cluster Model for Temperature Dependent Magnetization Noise in SQUIDs
• Logarithmic relaxation and stress aging in the electron glass
• Slow relaxation of conductance of amorphous hopping insulators
• The effect of interactions and disorder on the relaxation of two-level systems in amorphous solids
• Slow relaxation of magnetoresistance in doped p -GaAs/AlGaAs layers with partially filled upper Hubbard band
• Evidence for thermal activation in the glassy dynamics of insulating granular aluminum conductance
• Quantum geometric protocols for fast high-fidelity adiabatic state transfer
• The strain gap in a system of weakly and strongly interacting two-level systems
• Relaxation dynamics of the three-dimensional Coulomb Glass model
• The effect of screening on the relaxation dynamics in the Coulomb glass
• Low frequency excitations in the Coulomb Glass: numerical analysis using the avalanche method
• Characterizing the insulator adjacent to the superconductor in Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$ ($x=0.3$)
• Optoelectronics of confined semiconductors : the case of colloidal nanocrystals and their application to photodetection
• Relaxation of the Random Site Coulomb glass Model in Two Dimensions