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We study the interplay between a Coulomb impurity and quasiholes in a fractional quantum Hall (FQH) state at finite temperatures. While a repulsive impurity can pin a quasihole and stabilize the FQH state, an attractive impurity cannot bind…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Ke Huang , Sankar Das Sarma , Xiao Li

We propose an approach that enables implementation of anyonic quantum computation in systems of antidots in the two-dimensional electron liquid in the FQHE regime. The approach is based on the adiabatic transfer of FQHE quasiparticles in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. V. Averin , V. J. Goldman

Unconventional quantum states defying the ubiquitous Fermi-liquid paradigm can emerge in the presence of strong electronic correlations. Among these, non-Abelian anyons - such as Majorana zero modes and Fibonacci anyons - are of particular…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 C. Piquard , A. Veillon , Y. Sato , F. Zanichelli , A. Aassime , A. Cavanna , U. Gennser , A. K. Mitchell , A. Anthore , F. Pierre

Upstream neutral modes, counter propagating to charge modes and carrying energy without net charge, had been predicted to exist in some of the fractional quantum Hall states and were recently observed via noise measurements. Understanding…

Mesoscale and Nanoscale Physics · Physics 2012-12-20 Itamar Gurman , Ron Sabo , Moty Heiblum , Vladimir Umansky , Diana Mahalu

Dark current is shown to be significantly reduced in quantum well infrared photodetectors in the tunneling regime, i.e. at very low temperature, by shifting the dopant impurity layers away from the central part of the wells. This result…

Interlayer tunneling measurements in the strongly correlated bilayer quantized Hall phase at $\nu_T=1$ are reported. The maximum, or critical current for tunneling at $\nu_T=1$, is shown to be a well-defined global property of the coherent…

Strongly Correlated Electrons · Physics 2013-10-22 D. Nandi , T. Khaire , A. D. K. Finck , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

We theoretically study microwave absorption spectroscopy of fractional quantum Hall droplets in the presence of quasiparticle tunneling across a quantum point contact. This contact-free probe provides access to collective edge dynamics…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Fumihiro Murabayashi , Ryotaro Sano , Flavio Ronetti , Jérôme Rech , Thierry Martin , Thibaut Jonckheere , Takeo Kato

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur

Quasiparticle excitations adversely affect the performance of superconducting devices in a wide range of applications. They limit the sensitivity of photon detectors in astronomy, the accuracy of current sources in metrology, the cooling…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Ristè , C. C. Bultink , M. J. Tiggelman , R. N. Schouten , K. W. Lehnert , L. DiCarlo

We study the resonant tunneling of quasiparticles through an impurity between the edges of a Fractional Quantum Hall sample. We show that the one-particle momentum distribution of fractionally charged edge quasiparticles has a quasi-Fermi…

Condensed Matter · Physics 2009-10-22 V. L. Pokrovsky , L. P. Pryadko

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

Recently we have proposed an unusual mechanism of superconducting current that is specific for Quantum Hall Edge channels connected to superconducting electrodes. We have shown that the supercurrent can be mediated by a nonlocal…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Xiao-Li Huang , Yuli V. Nazarov

We study non-equilibrium noise in the tunnelling current between the edges of a quantum Hall liquid in the Pfaffian state, which is a strong candidate for the plateau at $\nu=5/2$. To first non-vanishing order in perturbation theory (in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Cristina Bena , Chetan Nayak

Thermodynamic properties of quasiparticles in a graphene-based structures are investigated. Two graphene superconducting layers (one superconducting component is placed on the top layeredgraphene structure and the other component in the…

Mesoscale and Nanoscale Physics · Physics 2011-10-26 Dima Bolmatov

We analyze charge-$e/4$ quasiparticle tunneling between the edges of a point contact in a non-Abelian model of the $\nu=5/2$ quantum Hall state. We map this problem to resonant tunneling between attractive Luttinger liquids and use the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Adrian Feiguin , Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We have investigated experimentally resonant tunnelling through single-particle states formed around an antidot by a magnetic field, in the fractional quantum Hall regime. For 1/3 filling factor around the antidot, Aharonov-Bohm…

The statistics of tunneling current in a fractional quantum Hall sample with an antidot is studied in the chiral Luttinger liquid picture of edge states. A comparison between Fano factor and skewness is proposed in order to clearly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Braggio , N. Magnoli , M. Merlo , M. Sassetti

In the weak backscattering limit, point contact tunneling between quantum Hall edges is well described by a Poissonian process where Laughlin quasiparticles tunnel independently, leading to the unambiguous measurement of their fractional…

Condensed Matter · Physics 2009-10-31 H. Saleur , U. Weiss

Fractional quantum Hall quasiparticles are generally characterized by two quantum numbers: electric charge $Q$ and scaling dimension $\Delta$. For the simplest states (such as the Laughlin series) the scaling dimension determines the…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 Noam Schiller , Yuval Oreg , Kyrylo Snizhko
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