Spatial and energy resolution of electronic states by shot noise

“…Moreover, the negative excess noise in such a setup is not associated with a small scaling dimension ∆ T of the tunneling particles. This suggests that nontrivial nonequilibrium states may be used to mimic interaction effects and effects of quantum statistics on the transport properties of nanoscale systems, including the current noise [50,52]. In this paper, however, we focus on the tunneling between fully equilibrated states.…”

Section: Interaction-induced Proliferation Of Low-energy Statesmentioning

confidence: 99%

“…In contrast to the voltage-induced noise, the delta-T noise does not require a net flow of a non-equilibrium charge current. Since initial theoretical [42][43][44][45][46][47][48][49] and experimental [41,[50][51][52][53][54][55] work, it has been shown that non-equilibrium noise in the absence of currents is, in fact, a more general phenomenon than delta-T noise [56]. Still, what properties of nanoscale conductors-and, in particular, facets of their strongly-correlated nature-this class of zerocurrent non-equilibrium noise might reveal, remains an open and interesting question.…”

Section: Introduction a Background And Motivationmentioning

confidence: 99%

Does delta-$T$ noise probe quantum statistics?

Z¹,

Gornyi²,

Spånslätt³

2022

Preprint

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We study delta-T noise-excess charge noise at zero voltage but finite temperature bias-for weak tunneling in one-dimensional interacting systems. We show that the sign of the delta-T noise is generically determined by the nature of the dominating tunneling process. More specifically, the sign is governed by the leading charge-tunneling operator's scaling dimension. We clarify the relation between the sign of delta-T noise and the quantum exchange statistics of tunneling quasiparticles. We find that, for infinite systems hosting chiral channels with local interactions (e.g., quantum Hall or quantum spin Hall edges), when the delta-T noise is negative, the tunneling particles are boson-like, revealing their tendency towards bunching. However, the opposite is not true: Bosonlike particles do not necessarily produce negative delta-T noise. Importantly, the bosonic nature of particles generating the negative delta-T is not necessarily intrinsic, but can be induced by the interactions. This, in particular, implies that negative delta-T noise for tunneling between the edge states cannot serve as a smoking gun for detecting "intrinsic anyons". We also establish a connection between the delta-T noise and the temperature derivative of the Nyquist-Johnson (thermal) noise in interacting systems, both governed by the same scaling dimensions. As a demonstration of the above statements, we study tunneling between two interacting quantum spin Hall edges. With bosonization and renormalization-group techniques, we find that many-body interactions can generate negative delta-T noise for both direct tunneling through a point contact and in Kondo exchange tunneling via a localized spin. In both these setups, we show that the noise can become negative at sufficiently low temperatures, when interactions renormalize the tunneling to favor boson-like pair-tunneling of electrons rather than single-electron tunneling. Our findings show that delta-T noise can be used to probe the nature of collective excitations in interacting one-dimensional systems.

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“…We concretely use this to evaluate both the conventional efficiencies and their bounds, as well as the proper free-energy efficiencies, which are determined by the temperatures and potentials of resource region and working substance. Such tunnel contacts can also be used as detectors for the local distribution via noise measurements [95][96][97][98][99].…”

Section: Floating Voltage and Temperature Probementioning

confidence: 99%

Quantifying nonequilibrium thermodynamic operations in a multiterminal mesoscopic system

Hajiloo¹,

Sánchez²,

Whitney³

et al. 2020

Phys. Rev. B

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We investigate a multiterminal mesoscopic conductor in the quantum Hall regime, subject to temperature and voltage biases. The device can be considered as a nonequilibrium resource acting on a working substance. We previously showed that cooling and power production can occur in the absence of energy and particle currents from a nonequilibrium resource (calling this an N-demon). Here we allow energy or particle currents from the nonequilibrium resource and find that the device seemingly operates at a better efficiency than a Carnot engine. To overcome this problem, we define free-energy efficiencies which incorporate the fact that a nonequilibrium resource is consumed in addition to heat or power. These efficiencies are well behaved for equilibrium and nonequilibrium resources and have an upper bound imposed by the laws of thermodynamics. We optimize power production and cooling in experimentally relevant parameter regimes.

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Spatial and energy resolution of electronic states by shot noise

Cited by 18 publications

References 56 publications

Thermal conductance and nonequilibrium superconductivity in a diffusive NSN wire probed by shot noise

Thermal conductance and nonequilibrium superconductivity in a diffusive NSN wire probed by shot noise

Does delta-$T$ noise probe quantum statistics?

Quantifying nonequilibrium thermodynamic operations in a multiterminal mesoscopic system

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