Negativity of the excess noise in a quantum wire capacitively coupled to a gate

Abstract

The electrical current noise of a quantum wire is expected to increase with increasing applied voltage. We show that this intuition can be wrong. Specifically, we consider a single channel quantum wire with impurities and with a capacitive coupling to nearby metallic gates and find that its excess noise, defined as the change in the noise caused by the finite voltage, can be negative at zero temperature. This feature is present both for large ($c\gg c_q$) and small ($c\ll c_q$) capacitive coupling, where $c$ is the geometrical and $c_q$ the quantum capacitance of the wire. In particular, for $c\gg c_q$, negativity of the excess noise can occur at finite frequency when the transmission coefficients are energy dependent, i.e. in the presence of Fabry-Pérot resonances or band curvature. In the opposite regime $c\lesssim c_q$, a non trivial voltage dependence of the noise arises even for energy independent transmission coefficients: at zero frequency the noise decreases with voltage as a power law when $c<c_q/3$, while, at finite frequency, regions of negative excess noise are present due to Andreev-type resonances.

arXiv comment11 pages, 5 figures. Revised version, references and technical details added, typos corrected

References in corpus (29)

• Shot Noise in Mesoscopic Conductors
• Luttinger Liquid Behavior in Carbon Nanotubes
• Bosonization and Strongly Correlated Systems
• Transport in an inhomogeneous interacting one--dimensional system
• Bosonization for Beginners --- Refermionization for Experts
• Double Quantum Dots as Detectors of High-Frequency Quantum Noise in Mesoscopic Conductors
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Detection of Quantum Noise from an Electrically-Driven Two-Level System
• Using a quantum dot as a high-frequency shot noise detector
• Shot Noise Detection on a Carbon Nanotube Quantum Dot
• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Interaction Constants and Dynamic Conductance of a Gated Wire
• Charge Fluctuations in Quantum Point Contacts and Chaotic Cavities in the Presence of Transport
• Quantum partition noise of photo-created electron-hole pairs
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• A dynamic scattering approach for a gated interacting wire
• Charge-Relaxation and Dwell Time in the fluctuating Admittance of a Chaotic Cavity
• Emission and absorption asymmetry in the quantum noise of a Josephson junction
• Appearance of fractional charge in the noise of non-chiral Luttinger liquids
• Asymmetric Quantum Shot Noise in Quantum Dots
• Frequency Scales for Current Statistics of Mesoscopic Conductors
• Electroneutrality and the Friedel sum rule in a Luttinger liquid
• Electron injection in a nanotube with leads: finite frequency noise-correlations and anomalous charges
• Fabry-Perot interference and spin filtering in carbon nanotubes
• Oscillatory non-linear conductance of an interacting quantum wire with an impurity
• Coulomb drag shot noise in coupled Luttinger liquids
• Finite frequency quantum noise in an interacting mesoscopic conductor
• Effect of Interactions on the Admittance of Ballistic Wires
• Long wavelength spatial oscillations of high frequency current noise in 1D electron systems

Cited by in corpus (4)

• Emission and absorption noise in the fractional quantum Hall effect
• Finite frequency noise of a superconductor/ferromagnet quantum point contact
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Tuning Excess Noise by Aharonov-Bohm Interferometry