Electronic noise generated by a temperature gradient across a hybrid normal metal–superconductor nanojunction

Zhitlukhina, Elena; Belogolovskii, Mikhail; Seidel, P.

doi:10.1007/s13204-020-01329-7

Cited by 11 publications

(18 citation statements)

References 10 publications

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“…We emphasize that Eq. ( 78) is expressed in terms of the scaling dimension of the full tunneling operator (44) (see also Ref. [49]).…”

Section: Delta-t Noise In Interacting 1d Systemsmentioning

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%

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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 emphasize that Eq. ( 78) is expressed in terms of the scaling dimension of the full tunneling operator (44) (see also Ref. [49]).…”

Section: Delta-t Noise In Interacting 1d Systemsmentioning

confidence: 99%

Section: Introduction a Background And Motivationmentioning

confidence: 99%

Does delta-$T$ noise probe quantum statistics?

Z¹,

Gornyi²,

Spånslätt³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…6 A recent experiment using atomic break junctions 2 -with an embedded hydrogen molecule between the leads -measured the noise signal, dubbed "∆T noise" (DTN) in this situation. This generated a lot of interest for this previously undocumented source of nonequilibrium noise, both from the experimental 3,7,8 and the theoretical [9][10][11][12][13] perspectives. Results from Ref.…”

Section: Introductionmentioning

confidence: 99%

Scattering theory of non-equilibrium noise and delta T current fluctuations through a quantum dot

Popoff

Rech

Jonckheere

et al. 2022

J. Phys.: Condens. Matter

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We consider the non-equilibrium zero frequency noise generated by a temperature gradient applied on a device composed of two normal leads separated by a quantum dot. We recall the derivation of the scattering theory for non-equilibrium noise for a general situation where both a bias voltage and a temperature gradient can coexist and put it in a historical perspective. We provide a microscopic derivation of zero frequency noise through a quantum dot based on a tight binding Hamiltonian, which constitutes a generalization of the seminal result obtained for the current in the context of the Keldysh formalism. For a single level quantum dot, the obtained transmission coefficient entering the scattering formula for the non-equilibrium noise corresponds to a Breit-Wigner resonance. We compute the delta-T noise as a function of the dot level position, and for a broad range of values of the dot level width, in the Breit-Wigner case, for two relevant situations which were considered recently in two separate experiments. In the regime where the two reservoir temperatures are comparable, our gradient expansion shows that the delta-T noise is dominated by its quadratic contribution, and is minimal close to resonance. In the opposite regime where one reservoir is much colder, the gradient expansion fails and we find the noise to be typically linear in temperature before saturating. In both situations, we conclude with a short discussion of the case where both a voltage bias and a temperature gradient are present, in order to address the potential competition with thermoelectric effects.

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“…In recent years, systems connected to reservoirs kept at different temperatures, when no voltage is applied, have been experimentally [15][16][17][18] and theoretically [19][20][21][22][23][24] considered. The presence of a temperature gradient leads to a non-equilibrium contribution to the charge current noise known as delta-T noise.…”

Section: Introductionmentioning

confidence: 99%

Delta-T noise for fractional quantum Hall states at different filling factor

Rebora,

Rech,

Ferraro

et al. 2022

Preprint

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The current fluctuations due to a temperature bias, i.e. the delta-T noise, allow one to access properties of strongly interacting systems which cannot be addressed by the usual voltage-induced noise. In this work, we study the full delta-T noise between two different fractional quantum Hall edge states, with filling factors (νL, νR) in the Laughlin sequence, coupled through a quantum point contact and connected to two reservoirs at different temperatures. We are able to solve exactly the problem for all couplings and for any set of temperatures in the specific case of an hybrid junction (1/3, 1). Moreover, we derive a universal analytical expression which connects the delta-T noise to the equilibrium one valid for all generic pairs (νL, νR) up to the first order in the temperature mismatch. We expect that the linear term can be accessible in nowadays experimental set-ups. We describe the two opposite coupling regimes focusing on the strong one which correspond to a non-trivial situation. Our analysis on delta-T noise allows us to better understand the transport properties of strongly interacting systems and to move toward more involved investigation concerning the statistics and scaling dimension of their emergent excitations.

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Electronic noise generated by a temperature gradient across a hybrid normal metal–superconductor nanojunction

Cited by 11 publications

References 10 publications

Does delta-$T$ noise probe quantum statistics?

Does delta-$T$ noise probe quantum statistics?

Scattering theory of non-equilibrium noise and delta T current fluctuations through a quantum dot

Delta-T noise for fractional quantum Hall states at different filling factor

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