Equilibration of quantum Hall edge states by an Ohmic contact

Slobodeniuk, A. O.; Levkivskyi, Ivan P.; Sukhorukov, Eugene V.

doi:10.1103/physrevb.88.165307

Cited by 40 publications

(92 citation statements)

References 41 publications

(39 reference statements)

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“…The minimal model of the ν = 2 3 edge explains this contradiction in a natural way: the experimentally observed "charge" is a weight average of the charges of two equally relevant quasiparticles with weights defined by nonuniversal tunneling amplitudes' ratio θ . This gives an extra argument in favor of the minimal model of the ν = 2 3 edge with the K matrix (25). A similar point was made in paper [11] in relation to the experiment [9].…”

Section: Discussionsupporting

confidence: 66%

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Nonequilibrium noise in transport across a tunneling contact betweenν=23fractional quantum Hall edges

2014

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In a recent experimental paper [Bid et al., Nature 466, 585 (2010)] a qualitative confirmation of the existence of upstream neutral modes at the ν = 2 3 quantum Hall edge was reported. Using the chiral Luttinger liquid theory of the quantum Hall edge we develop a quantitative model of the experiment of Bid et al. A good quantitative agreement of our theory with the experimental data reinforces the conclusion of the existence of the upstream neutral mode. Our model also enables us to extract important quantitative information about nonequilibrium processes in Ohmic and tunneling contacts from the experimental data. In particular, for ν = 2 3 , we find a power-law dependence of the neutral mode temperature on the charge current injected from the Ohmic contact.

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Section: Discussionsupporting

confidence: 66%

“…5 and 6). Recently there has been some theoretical progress in understanding of the interaction of Ohmic contacts with the quantum Hall edge [25]. However, at present a complete theoretical predictive model of Ohmic contacts is still missing, and the information on the neutral mode heating may contribute to its development.…”

Section: Discussionmentioning

confidence: 99%

Nonequilibrium noise in transport across a tunneling contact betweenν=23fractional quantum Hall edges

2014

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“…Indeed, even if the level spacing in such systems is negligible, the charging energy may compare to the base temperature of the experiment and other characteristic energies. As a result, such an Ohmic contact cannot fully equilibrate edge electrons [6]. A related phenomenon of the Coulomb blockade of the heat flux has recently been observed in FIG.…”

mentioning

confidence: 81%

“…However, as has been pointed out in the Ref. [6], in contrast to photons, electrons carry electrical charge, which has to be taken into account, if one considers an Ohmic contact from somewhat broader perspective as a metallic island strongly coupled to edge states [14,15]. Indeed, even if the level spacing in such systems is negligible, the charging energy may compare to the base temperature of the experiment and other characteristic energies.…”

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confidence: 99%

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Dephasing in a Mach-Zehnder Interferometer by an Ohmic Contact

2018

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We study dephasing in an electronic Mach-Zehnder (MZ) interferometer based on quantum Hall edge states by a micrometer-sized Ohmic contact embedded in one of its arms. We find that at the filling factor ν=1, as well as in the case where an Ohmic contact is connected to a MZ interferometer by a quantum point contact that transmits only one electron channel, the phase coherence may not be fully suppressed. Namely, if the voltage bias Δμ and the temperature T are small compared to the charging energy of the Ohmic contact E_{C}, the free fermion picture is manifested, and the visibility saturates at its maximum value. At large biases, Δμ≫E_{C}, the visibility decays in a power-law manner.

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Scattering theory approach to bosonization of non-equilibrium mesoscopic systems

Sukhorukov

2016

Physica E: Low-dimensional Systems and Nanostructures

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Between many prominent contributions of Markus Büttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists working in this field. It offers an efficient way to theoretically investigate open electron systems far from equilibrium. However, this method is limited to situations where interactions between electrons can be ignored, or considered perturbatively. Fortunately, this is the case in a broad class of metallic systems, which are commonly described by the Fermi liquid theory. Yet, there exist another broad class of electron systems of reduced dimensionality, the so-called Tomonaga-Luttinger liquids, where interactions are effectively strong and cannot be neglected even at low energies. Nevertheless, strong interactions can be accounted exactly using the bosonization technique, which utilizes the free-bosonic character of collective excitations in these systems. In the present work, we use this fact in order to develop the scattering theory approach to the bosonization of open quasi-one dimensional electron systems far from equilibrium.

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Equilibration of quantum Hall edge states by an Ohmic contact

Cited by 40 publications

References 41 publications

Nonequilibrium noise in transport across a tunneling contact betweenν=23fractional quantum Hall edges

Nonequilibrium noise in transport across a tunneling contact betweenν=23fractional quantum Hall edges

Dephasing in a Mach-Zehnder Interferometer by an Ohmic Contact

Scattering theory approach to bosonization of non-equilibrium mesoscopic systems

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