Delta-
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 noise for weak tunneling in one-dimensional systems: Interactions versus quantum statistics

Zhang, Gu; Gornyi, I. V.; Spånslätt, Christian

doi:10.1103/physrevb.105.195423

Phys. Rev. B

2022

DOI: 10.1103/physrevb.105.195423

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Delta- T noise for weak tunneling in one-dimensional systems: Interactions versus quantum statistics

Gu Zhang

I. V. Gornyi

Christian Spånslätt

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Cited by 9 publications

References 124 publications

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Observation of the scaling dimension of fractional quantum Hall anyons

Veillon,

Piquard,

Glidic

et al. 2024

Nature

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Unconventional quasiparticles emerging in the fractional quantum Hall regime1,2 present the challenge of observing their exotic properties unambiguously. Although the fractional charge of quasiparticles has been demonstrated for nearly three decades3–5, the first convincing evidence of their anyonic quantum statistics has only recently been obtained6,7 and, so far, the so-called scaling dimension that determines the propagation dynamics of the quasiparticles remains elusive. In particular, although the nonlinearity of the tunnelling quasiparticle current should reveal their scaling dimension, the measurements fail to match theory, arguably because this observable is not robust to non-universal complications8–12. Here we expose the scaling dimension from the thermal noise to shot noise crossover and observe an agreement with expectations. Measurements are fitted to the predicted finite-temperature expression involving both the scaling dimension of the quasiparticles and their charge12,13, in contrast to previous charge investigations focusing on the high-bias shot-noise regime14. A systematic analysis, repeated on several constrictions and experimental conditions, consistently matches the theoretical scaling dimensions for the fractional quasiparticles emerging at filling factors ν = 1/3, 2/5 and 2/3. This establishes a central property of fractional quantum Hall anyons and demonstrates a powerful and complementary window into exotic quasiparticles.

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Observation of the scaling dimension of fractional quantum Hall anyons

Veillon,

Piquard,

Glidic

et al. 2024

Nature

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Finite-frequency noise, Fano factor, ΔT-noise and cross-correlations in double quantum dots

Crépieux,

Duong,

Lavagna

2024

J. Phys.: Condens. Matter

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A theoretical study on electrical current fluctuations in a double quantum dot connected to electronic reservoirs is presented, with the aim of deriving the finite-frequency noise, the Fano factor and the ΔT-noise. We establish a general expression for the noise in terms of Green functions in the double quantum dot and self-energies in the reservoirs. This result is then applied to model double quantum dots in various situations. For a non-interacting double quantum dot, we have highlighted several interesting features in the physical properties of this system. In particular, we have demonstrated the possibility of obtaining a significant reduction in zero-frequency noise and Fano factor either when the system is placed in a given operating regime, or when a temperature gradient is applied between the two reservoirs, resulting in a negative ΔT-noise being generated. In addition, in the vicinity of honeycomb vertices, a sign change is observed in the finite-frequency cross-correlator between the two reservoirs, in contrast to what is obtained for the zero-frequency cross-correlator, which remains negative throughout the (ε1,ε2)-plane, ε1, ε2 being the level energies in each of the two dots. By using an approximate first-level numerical approach, we finally study how the finite-frequency noise in a double quantum dot evolves under the influence of Coulomb interactions.

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Shot noise in resonant tunneling: Role of inelastic scattering

2022

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Delta- T noise for weak tunneling in one-dimensional systems: Interactions versus quantum statistics

Cited by 9 publications

References 124 publications

Observation of the scaling dimension of fractional quantum Hall anyons

Observation of the scaling dimension of fractional quantum Hall anyons

Finite-frequency noise, Fano factor, ΔT-noise and cross-correlations in double quantum dots

Shot noise in resonant tunneling: Role of inelastic scattering

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