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Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is…

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Tom Morel , June-Young M. Lee , H. -S. Sim , Christophe Mora

In this paper we formulate the theory of tunneling into general Abelian fractional quantum Hall edge states. In contrast to the simple Laughlin states, a number of charge transfer processes must be accounted for. Nonetheless, it is possible…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Joel E. Moore , Prashant Sharma , Claudio Chamon

We study a Hanbury Brown and Twiss (HBT) interferometer formed with chiral edge channels of a quantum Hall system. HBT cross-correlations are calculated for a device operating both in the integer and fractional quantum Hall regimes, the…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 Gabriele Campagnano , Oded Zilberberg , Igor V. Gornyi , Yuval Gefen

Continued improvement of heat control in mesoscopic conductors brings novel tools for probing strongly correlated electron phenomena. Motivated by these advances, we comprehensively study transport due to a temperature bias in a quantum…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Matteo Acciai , Gu Zhang , Christian Spånslätt

Besides its fundamental interest, understanding the dynamics of pair breaking in superconducting nanostructures is a central issue to optimize the performances of superconducting devices such as qubits or photon detectors. However, despite…

Superconductivity · Physics 2023-08-02 T. Jalabert , E. F . C. Driessen , F. Gustavo , J. L. Thomassin , F. Levy-Bertrand , C. Chapelier

We develop a theory for two quasiparticle-induced decoherence mechanisms of a driven superconducting qubit. In the first mechanism, an existing quasiparticle (QP) tunnels across the qubit's Josephson junction while simultaneously absorbing…

We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper bounds for the entanglement between two…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. S. Zozulya , M. Haque , K. Schoutens , E. H. Rezayi

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

We review the general strategy of topologically protected quantum information processing based on non-Abelian anyons, in which quantum information is encoded into the fusion channels of pairs of anyons and in fusion paths for multi-anyon…

Strongly Correlated Electrons · Physics 2016-02-17 Lachezar S. Georgiev

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Sungguen Ryu , H. -S. Sim

We study the intra-planar tunneling between quantum Hall samples separated by a quasi one-dimensional barrier, induced through the interaction of edge degrees of freedom with the charge density waves of a Hall crystal defined in a parallel…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Moriconi

Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this note we study the effects of exclusion statistics on thermal activation of quasiparticle pairs in the approximation of…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 J. Shiraishi , M. Kohmoto , Y. S. Wu

To detect non-abelian statistics in the $\nu = 12/5$ quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-abelian $\nu = 5/2$ quantum Hall state. The result is that the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 Suk Bum Chung , Michael Stone

Transport of a Brownian particle moving along the axis of a three-dimensional asymmetric periodic tube is investigated in the presence of asymmetric unbiased forces. The reduction of the coordinates may involve not only the appearance of…

Statistical Mechanics · Physics 2009-11-13 Bao-quan Ai , Liang-gang Liu

Non-Abelian excitations are an interesting feature of many fractional quantum Hall phases, including those phases described by the Moore-Read (or Pfaffian) wave function. However, the detection of the non-Abelian quasiparticles is…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Niccolò Baldelli , Bruno Juliá-Díaz , Utso Bhattacharya , Maciej Lewenstein , Tobias Graß

We study the thermal transport in magnetic tunnel junctions. Thermal gradients across the tunneling barrier appear around the Fowler-Nordheim tunneling regime, due to the current-induced heat caused by quantum interference. Both…

Materials Science · Physics 2013-08-22 J. F. Feng , D. P. Liu , Q. L. Ma , H. X. Wei , X. F. Han

We study the quantum tunnelling of a very complex object of which only part is coupled to an external potential ( the potential barrier ). We treat this problem as the tunnelling of a particle (part of the system affected by the potential)…

Condensed Matter · Physics 2008-02-03 A. H. Castro Neto , A. O. Caldeira

Efficiency of a Brownian particle moving along the axis of a three-dimensional asymmetric periodic channel is investigated in the presence of a symmetric unbiased force and a load. Reduction of the spatial dimensionality from two or three…

Statistical Mechanics · Physics 2009-11-13 Bao-quan Ai , Hui-zhang Xie , Liang-gang Liu

Quasi-particles are elementary excitations of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue for their manipulation for quantum information tasks. Here, we consider…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 I. Taktak , M. Kapfer , J. Nath , P. Roulleau , M. Acciai , J. Splettstoesser , I. Farrer , D. A. Ritchie , D. C. Glattli