Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias

Abstract

Continued improvement of heat control in mesoscopic conductors brings novel tools for probing strongly correlated electron phenomena. Motivated by these advances, we comprehensively study transport due to a temperature bias in a quantum point contact device in the fractional quantum Hall regime. We compute the charge-current noise (so-called delta-$T$ noise), heat-current noise, and mixed noise and elucidate how these observables can be used to infer strongly correlated properties of the device. Our main focus is the extraction of so-called scaling dimensions of the tunneling anyonic quasiparticles, of critical importance to correctly infer their anyonic exchange statistics.

arXiv comment30 + 30 pages, 8 figures. Corrected a typo in the last line of Eq. (30b) of the published version. The associated plots were correct and are unchanged

References in corpus (86)

• Shot Noise in Mesoscopic Conductors
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Observation of half-integer thermal Hall conductance
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Quantum limit of heat flow across a single electronic channel
• Observation of neutral modes in the fractional quantum Hall regime
• Observed Quantization of Anyonic Heat Flow
• Electron shot noise beyond the second moment
• Fluctuation theorem in quantum heat conduction
• Colloquium: Quantum heat transport in condensed matter systems
• Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States
• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Noise in Multiterminal Diffusive Conductors: Universality, Nonlocality and Exchange Effects
• Novel method distinguishing between competing topological orders
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Violation of the fluctuation-dissipation theorem in time-dependent mesoscopic heat transport
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Nonuniversal behavior of scattering between fractional quantum Hall edges
• Interference induced thermoelectric switching and heat rectification in quantum Hall junctions
• Electronic heat flow and thermal shot noise in quantum circuits
• Topological classification of shot noise on fractional quantum Hall edges
• Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
• Energy and power fluctuations in ac-driven coherent conductors
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Minimal excitation states for heat transport in driven quantum Hall systems
• Local noise in a diffusive conductor
• Shot Noise of a Temperature-Biased Tunnel Junction
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Negative delta-$T$ noise in the Fractional Quantum Hall effect
• Relevance of multiple-quasiparticle tunneling between edge states at ν=p/(2np+1)
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Mixed, charge and heat noises in thermoelectric nanosystems
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Environmental induced renormalization effects in quantum Hall edge states
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Energy transport and fluctuations in small conductors
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• General bounds on electronic shot noise in the absence of currents
• Dynamical Coulomb blockade under a temperature bias
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energy relaxation in edge modes in the quantum Hall effect
• Non-equilibrium noise in transport across a tunneling contact between $\nu =2/3$ fractional quantum Hall edges
• Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
• Does delta-$T$ noise probe quantum statistics?
• Coulomb interactions and delocalization in quantum Hall constrictions
• Shot noise thermometry of the quantum Hall edge states
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Line junction in a quantum Hall system with two filling fractions
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime
• Out-of-Equilibrium Fluctuation-Dissipation Bounds
• Edge State Tunneling in a Split Hall Bar Model
• Spatial and energy resolution of electronic states by shot noise
• Probing charge and heat current noise by frequency-dependent temperature and potential fluctuations
• Observation of the scaling dimension of fractional quantum Hall anyons
• Scattering Theory of Non-Equilibrium Noise and Delta $T$ current fluctuations through a quantum dot
• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Delta-T noise in the Kondo regime
• Mixed electrical-heat noise spectrum in a quantum dot
• Thermal drag effect in quantum Hall circuits
• Fluctuations in heat current and scaling dimension
• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
• Electronic heat current fluctuations in a quantum dot
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Delta-T noise for fractional quantum Hall states at different filling factor
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Light emission in delta-T-driven mesoscopic conductors
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Anomalous electronic shot noise in resonant tunneling junctions
• Scaling tunnelling noise in the fractional quantum Hall effect tells about renormalization and breakdown of chiral Luttinger liquid
• Negative Spin ${\Delta }_T$ noise Induced by Spin-Flip Scattering and Andreev Reflection
• Revisiting the Physics of Hole-Conjugate Fractional Quantum Hall Channels
• Finite-frequency noise, Fano factor, $\Delta T$-noise and cross-correlations in double quantum dots

Cited by in corpus (4)

• Anyon braiding on the single edge of a fractional quantum Hall state
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime