Fractional Coulomb blockade for quasi-particle tunneling between edge channels

Röösli, Marc P.; Hug, Michael; Nicolí, Giorgio; Märki, Peter; Reichl, Christian; Rosenow, Bernd; Wegscheider, Werner; Ensslin, Klaus; Ihn, Thomas

doi:10.1126/sciadv.abf5547

Cited by 10 publications

(19 citation statements)

References 57 publications

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“…(i) For integer filling factors 6 > ν dot > 2, the QD reconstructs into more than two concentric, compressible regions separated by incompressible stripes [1,3]. As this allows for various different rearrangements between the multiple compressible regions inside the QD, we observe distinct modulations of the conductance resonances, showing a more complex pattern than for two compressible regions at filling factors 2 > ν dot > 1 [10,[12][13][14]17], including changes in magnetic field period, super-periodicities, and non-periodic features. (ii) Measuring the conductance through an aux-iliary QD next to the principal QD, we show that internal reconstructions can be detected using an external, capacitively coupled charge detector [10,11,[40][41][42][43][44][45][46] in the integer quantum Hall regime.…”

Section: Introductionmentioning

confidence: 88%

“…While the bias to the primary QD and the CD is applied through different source contacts, they share the same drain contact. The same sample was used for previous experiments [17].…”

Section: Sample and Experimental Setupmentioning

confidence: 99%

“…As described in our previous work [17], we estimate the density inside the QD by measuring the conductance as a function of plunger gate voltage and magnetic field in the integer quantum Hall regime. In Fig.…”

Section: Quantum Dot Tuning At Finite Magnetic Fieldsmentioning

confidence: 99%

“…In the fractional quantum Hall regime, QDs exhibit a similar charge reconstruction * marcro@phys.ethz.ch with incompressible regions assuming a fractional filling factor. This enables tunneling of fractionally charged quasiparticles between the compressible regions, thereby exhibiting fractional Coulomb blockade [17], while only electrons can be exchanged with the leads [18]. Opening the tunneling barriers to the regime of weak backscattering, allows for operating these systems as quantum Hall Fabry-Pérot interferometers in the integer [19][20][21][22][23][24] and fractional [25][26][27][28][29][30][31][32][33][34][35] quantum Hall regimes, whose behavior is closely related to Coulomb-blockaded QDs in magnetic field [12,14,25,36,37].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we measure magneto-transport through a 1.4 µm-wide QD, and present three different aspects extending and complementing the dot-internal rearrangements of quasiparticles in the integer and fractional quantum Hall regime [8][9][10][11][12][13][14][15][16][17]. (i) For integer filling factors 6 > ν dot > 2, the QD reconstructs into more than two concentric, compressible regions separated by incompressible stripes [1,3].…”

Section: Introductionmentioning

confidence: 99%

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Characterization of quasiparticle tunneling in a quantum dot from temperature dependent transport in the integer and fractional quantum Hall regime

Röösli¹,

Hug²,

Nicolí³

et al. 2021

Preprint

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We report on magnetoconductance measurements through a weakly coupled quantum dot, containing roughly 900 electrons, in a wide magnetic field range from 0 T to 12 T. We find modulations of the conductance resonances in the quantum Hall regime for higher integer filling factors 6 > ν dot > 2, in addition to modulations at 2 > ν dot > 1 and at fractional filling factors ν dot > ∼ 2/3, 1/3. Depending on the internal filling factor, edge reconstruction inside the quantum dot leads to the formation of multiple concentric compressible regions, which contain discrete charge and are separated by incompressible rings. Quasiparticle tunneling between different compressible regions results in magnetic-field-(pseudo)-periodic modulations of the Coulomb resonances with different periodicities, additional super-periodicity or non-periodic features. The evolution of the period in magnetic field indicates cyclic depopulation of the inner compressible regions close to integer filing factors. We study the temperature dependence of the conductance resonances for different magnetic fields. While at low fields, the resonance amplitude decays inversely with temperature, corresponding to single-level transport, the temperature dependence of the amplitude evolves continuously into a linearly increasing behavior for dot filling factor 2 > ν dot > 1. This coincides with a reduction of the charging energy by approximately a factor of 2 in the same regime. At zero magnetic field, the temperature dependence differs for individual resonances, and is found to depend on the closeness to quantum dot states that couple strongly to the leads. The presented experiments complement and extend previous results on internal rearrangements of quasiparticles for weakly coupled quantum dots in magnetic field.

show abstract

Section: Introductionmentioning

confidence: 88%

“…While the bias to the primary QD and the CD is applied through different source contacts, they share the same drain contact. The same sample was used for previous experiments [17].…”

Section: Sample and Experimental Setupmentioning

confidence: 99%

Section: Quantum Dot Tuning At Finite Magnetic Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Characterization of quasiparticle tunneling in a quantum dot from temperature dependent transport in the integer and fractional quantum Hall regime

Röösli¹,

Hug²,

Nicolí³

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers

et al. 2022

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Quantum Hall interferometers have been used to probe fractional charge and statistics of quasiparticles. We present measurements of a small Fabry–Perot interferometer in which the electrostatic coupling constants which affect interferometer behavior can be determined experimentally. Near the center of the ν = 1/3 state this device exhibits Aharonov–Bohm interference interrupted by a few discrete phase jumps, and Φ0 oscillations at higher and lower magnetic fields, consistent with theoretical predictions for detection of anyonic statistics. We estimate the electrostatic parameters KI and KIL by two methods: using the ratio of oscillation periods in compressible versus incompressible regions, and from finite-bias conductance measurements. We find that the extracted KI and KIL can account for the deviation of the phase jumps from the theoretical anyonic phase θa = 2π/3. At integer states, we find that KI and KIL can account for the Aharonov–Bohm and Coulomb-dominated behavior of different edge states.

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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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Fractional Coulomb blockade for quasi-particle tunneling between edge channels

Cited by 10 publications

References 57 publications

Characterization of quasiparticle tunneling in a quantum dot from temperature dependent transport in the integer and fractional quantum Hall regime

Characterization of quasiparticle tunneling in a quantum dot from temperature dependent transport in the integer and fractional quantum Hall regime

Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers

Observation of the scaling dimension of fractional quantum Hall anyons

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