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Fractional quantum Hall (FQH) states are highly sought after because of their ability to host non-abelian anyons, whose braiding statistics make them excellent candidates for qubits in topological quantum computing. Multiple theoretical…

Mesoscale and Nanoscale Physics · Physics 2025-10-10 Goutham Vinjamuri , Ankur Das

Electron-electron interactions play a major role in determining the low-temperature rate of phase loss of electrons in mesoscopic systems. The study of the dephasing rate is expected to contribute to the understanding of the many-body…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 Daria Fleurov , Eli Eisenberg

Recently we have developed a theory of Keldysh formalism for mesoscopic systems. The resulting nonequilibrium Kubo formula for differential conductance makes it possible to propose the new formula of shot noise $S_h$, and thus to study shot…

Mesoscale and Nanoscale Physics · Physics 2008-07-31 Tatsuya Fujii

The fractional quantum Hall effect (FQHE) is a canonical example of a topological phase in a correlated 2D electron gas under strong magnetic field. While electric currents propagate as chiral downstream edge modes, chargeless upstream…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Hiroyuki Inoue , Anna Grivnin , Yuval Ronen , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We have investigated shot noise in multiterminal, diffusive multiwalled carbon nanotubes (MWNTs) at 4.2 K over the frequency f = 600 - 850 MHz. Quantitative comparison of our data to semiclassical theory, based on non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2010-06-30 T. Tsuneta , P. Virtanen , F. Wu , T. Wang , T. T. Heikkilä , P. J. Hakonen

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

We investigate the effect of electron-phonon inelastic scattering on shot noise in nanoscale junctions in the regime of quasi-ballistic transport. We predict that when the local temperature of the junction is larger than its lowest…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yu-Chang Chen , Massimiliano Di Ventra

We extend the theory of shot noise in coherent metals to shot noise in strange metals without quasiparticle excitations. This requires a generalization of the Boltzmann equation with a noise source to distribution functions which depend…

Strongly Correlated Electrons · Physics 2023-11-17 Alexander Nikolaenko , Subir Sachdev , Aavishkar A. Patel

We consider partially gapped one dimensional (1D) conductors connected to normal leads, as realized in fractional helical wires. At certain electron densities, some distinct charge mode develops a gap due to electron interactions, leading…

Mesoscale and Nanoscale Physics · Physics 2015-05-15 Eyal Cornfeld , Izhar Neder , Eran Sela

The fractional quantum Hall effect, where plateaus in the Hall resistance at values of coexist with zeros in the longitudinal resistance, results from electron correlations in two dimensions under a strong magnetic field. Current flows…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Dolev , M. Heiblum , V. Umansky , Ady Stern , D. Mahalu

Charged excitations in the fractional quantum Hall effect are known to carry fractional charges, as theoretically predicted and experimentally verified. Here we report on the dependence of the tunneling quasiparticle charge, as determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Dolev , Y. Gross , Y. C. Chung , M. Heiblum , V. Umansky , D. Mahalu

A central long standing prediction of the theory of fractional quantum Hall (FQH) states that it is a topological fluid whose elementary excitations are vortices with fractional charge and fractional statistics. Yet, the unambiguous…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eun-Ah Kim , Michael J. Lawler , Smitha Vishveshwara , Eduardo Fradkin

Electrical conductance measurements have limited scope in identifying Andreev edge states (AESs), which form the basis for realizing various topological excitations in quantum Hall (QH) - superconductor (SC) junctions. To unambiguously…

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

Shot-noise measures the correlations of fluctuations of current for a voltage applied much larger than the temperature and reveals aspects of correlations in fermions beyond those revealed in the conductivity. Recent measurements of…

Strongly Correlated Electrons · Physics 2024-09-18 Srinivas Raghu , Chandra M. Varma

The charge of quasiparticles in Pfaffian states of composite fermion excitations (the presence of which is indicated by recent experiments) is found. At the filling fraction of the Pfaffian state $\nu=p/q$ (of the lowest Landau level) the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Piotr Sitko

Among the predicted properties of fractional quantum Hall states are fractionally charged quasiparticles and conducting edge-states described as chiral Luttinger liquids. In a system with a narrow constriction, tunneling of quasi-particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Rosenow , B. I. Halperin

We have experimentally identified fractional quasiparticle creation in a tunneling process through a local fractional quantum Hall (FQH) state. The local FQH state is prepared in a low-density region near a quantum point contact (QPC) in an…

Mesoscale and Nanoscale Physics · Physics 2015-02-23 Masayuki Hashisaka , Tomoaki Ota , Koji Muraki , Toshimasa Fujisawa

We generalize the scattering theory of quantum shot noise to include the full spin-density matrix of electrons injected from a spin-filtering or ferromagnetic electrode into a quantum-coherent nanostructure governed by various…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ralitsa L. Dragomirova , Branislav K. Nikolic

The tunneling current and shot noise of the current between two Fractional Quantum Hall (FQH) edges in the $ \nu=12/5 $ FQH state in electronic Mach-Zehnder interferometer are studied. It is shown that the tunneling current and shot noise…

Mesoscale and Nanoscale Physics · Physics 2011-10-21 K. T. Law