General bounds on electronic shot noise in the absence of currents

Abstract

We investigate the charge and heat electronic noise in a generic two-terminal mesoscopic conductor in the absence of the corresponding charge and heat currents. Despite these currents being zero, shot noise is generated in the system. We show that, irrespective of the conductor's details and the specific nonequilibrium conditions, the charge shot noise never exceeds its thermal counterpart, thus establishing a general bound. Such a bound does not exist in the case of heat noise, which reveals a fundamental difference between charge and heat transport under zero-current conditions.

4+9 pages, 3+5 figures

References in corpus (10)

• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Electronic heat flow and thermal shot noise in quantum circuits
• Mixed, charge and heat noises in thermoelectric nanosystems
• Quantifying nonequlibrium thermodynamic operations in a multiterminal mesoscopic system
• Characterizing autonomous Maxwell demons
• An autonomous out of equilibrium Maxwell's demon for controlling the energy fluxes produced by thermal fluctuations
• Entropy current and efficiency of quantum machines driven by nonequilibrium incoherent reservoirs
• Delta-T noise in the Kondo regime
• Mixed electrical-heat noise spectrum in a quantum dot
• Noise effects in the nonlinear thermoelectricity of a Josephson junction

Cited by in corpus (21)

• Colloquium: Quantum heat transport in condensed matter systems
• Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Does delta-$T$ noise probe quantum statistics?
• Absence and recovery of cost-precision tradeoff relations in quantum transport
• Out-of-Equilibrium Fluctuation-Dissipation Bounds
• Thermodynamic Uncertainty Relations for Coherent Transport
• Scattering Theory of Non-Equilibrium Noise and Delta $T$ current fluctuations through a quantum dot
• Constraints between entropy production and its fluctuations in nonthermal engines
• Delta-T noise for fractional quantum Hall states at different filling factor
• Light emission in delta-T-driven mesoscopic conductors
• Coherent control of thermoelectric currents and noise in quantum thermocouples
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Machine learning delta-T noise for temperature bias estimation
• Effect of uniaxial magnetic anisotropy on charge transport in a junction with a precessing anisotropic molecular spin
• Thermodynamic bound on current fluctuations in coherent conductors
• Finite-frequency noise, Fano factor, $\Delta T$-noise and cross-correlations in double quantum dots
• Colored ${\Delta }_T$ noise probes the topological character of edge modes