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Interference represents one of the most striking manifestation of quantum physics in low-dimensional systems. Despite evidences of quantum interference in charge transport have been known for a long time, only recently signatures of…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Luca Vannucci , Flavio Ronetti , Giacomo Dolcetto , Matteo Carrega , Maura Sassetti

The quasiparticles in Quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could in principle be used for…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 T. H. Hansson , M. Hermanns , N. Regnault , S. Viefers

We propose several experiments to test the non-abelian nature of quasi-particles in the fractional quantum Hall state of \nu=5/2. One set of experiments studies interference contribution to back-scattering of current, and is a simplified…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ady Stern , Bertrand I. Halperin

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

Non-equilibrium quasiparticles are possible sources for decoherence in superconducting qubits because they can lead to energy decay or dephasing upon tunneling across Josephson junctions (JJs). Here, we investigate the impact of the…

Tunneling of fractionally charged quasiparticles across a two-dimensional electron system on a fractional quantum Hall plateau is expected to be strongly enhanced at low temperatures. This theoretical prediction is at odds with recent…

Superconductivity · Physics 2009-11-10 Emiliano Papa , Allan. H. MacDonald

Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting…

Strongly Correlated Electrons · Physics 2013-09-04 Armin Rahmani , Rodrigo A. Muniz , Ivar Martin

Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Y. S. Wu , Y. Yu , Y. Hatsugai , M. Kohmoto

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 B. A. Schmidt , K. Bennaceur , S. Gaucher , G. Gervais , L. N. Pfeiffer , K. W. West

We calculate the tunnelling current through a Fabry-P\'{e}rot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary source-drain voltage) we find a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Olaf Smits , Steven H. Simon , J. K. Slingerland

Anyonic interferometry probes the braiding phases of excitations in topologically ordered matter. This technique is well established for charged quasiparticles in the fractional quantum Hall effect. We propose to extend it to neutral…

Mesoscale and Nanoscale Physics · Physics 2023-03-10 Zezhu Wei , Navketan Batra , V. F. Mitrović , D. E. Feldman

Topological quantum computation has recently emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle…

Strongly Correlated Electrons · Physics 2009-11-13 Chetan Nayak , Steven H. Simon , Ady Stern , Michael Freedman , Sankar Das Sarma

We consider tunneling through two point contacts between two edges of Quantum Hall liquids of different filling factors $\nu_{0,1}=1/ (2m_{0,1}+1)$ with $m_0-m_1\equiv m>0$. Properties of the antidot formed between the point contacts in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Vadim Ponomarenko , Dmitri Averin

We analyze the backscattering current induced by a time dependent constriction as a tool to probe fractional topological insulators. We demonstrate an enhancement of the total current for a fractional topological insulator induced by the…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Giacomo Dolcetto , Luca Vannucci , Alessandro Braggio , Roberto Raimondi , Maura Sassetti

Motivated by the recent experiment by Grayson et.al., we investigate a non-ohmic current-voltage characteristics for the tunneling into fractional quantum Hall liquids. We give a possible explanation for the experiment in terms of the…

Condensed Matter · Physics 2009-10-31 Ken-ichiro Imura

We study tunneling phenomena at the edge of the anti-Pfaffian quantum Hall state at the filling factor $\nu=5/2$. The edge current in a single point-contact is considered. We focus on nonlinear behavior of two-terminal conductance with the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Toru Ito , Kentaro Nomura , Naokazu Shibata

The elementary excitations of a fractional quantum Hall liquid are quasiparticles or quasiholes which are neither bosons nor fermions, but so-called anyons. Here we study impurity particles immersed in a quantum Hall liquid which bind to…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Tobias Graß , Bruno Juliá-Díaz , Niccolò Baldelli , Utso Bhattacharya , Maciej Lewenstein

Electrons that are confined to a single Landau level in a two dimensional electron gas realize the effects of strong electron-electron repulsion in its purest form. The kinetic energy of individual electrons is completely quenched and all…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 David F. Mross , Yuval Oreg , Ady Stern , Gilad Margalit , Moty Heiblum

Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup…

We calculate the tunneling density of states of a two-dimensional interacting electron gas in a quantizing magnetic field. We show that the observed pseudogap in the density of states can be understood as the result of an infrared…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kelly R. Patton , Michael R. Geller