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We investigate theoretically the nonequilibrium finite-frequency current noise in a four-terminal quantum point contact of interacting helical edge states at a finite bias voltage. Special focus is put on the effects of the single-particle…

Strongly Correlated Electrons · Physics 2013-07-17 Yu-Wen Lee , Yu-Li Lee , Chung-Hou Chung

We investigate the properties of the finite frequency noise in a quantum point contact geometry for the fractional quantum Hall state at filling factor $\nu=2/5$. The results are obtained in the framework of the Wen's hierarchical model. We…

Strongly Correlated Electrons · Physics 2014-09-26 D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

The distinction between chiral, trivial helical, and topological helical edge modes can be effectively made using quantum noise measurements at finite temperatures. Quantum noise measurements consist of mainly two components. The first is…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Sachiraj Mishra , Colin Benjamin

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu=2$. Because of the capacitive coupling between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Izhar Neder

We analyse the noise of the edge current of a generic fractional quantum Hall state in a tunnelling point contact system. We show that the non-symmetrized noise in the edge current for the system out-of-equilibrium is completely determined…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 Olaf Smits , J. K. Slingerland , Steven H. Simon

The edge channels of two-dimensional topological systems are protected from elastic reflection and are noiseless at low temperature. Yet, noise and cross-correlations can be induced when electron waves partly transmit to the opposite edge…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Fabrizio Dolcini

We propose an experiment to probe the unconventional quantum statistics of quasi-particles in fractional quantum Hall states by measurement of current noise. The geometry we consider is that of a Hall bar where two quantum point contacts…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eytan Grosfeld , Steven H. Simon , Ady Stern

We investigate the finite frequency noise of a quantum point contact at filling factor {\nu} = 5/2 using a weakly coupled resonant LC circuit as a detector. We show how one could spectroscopically address the fractional charged excitations…

Strongly Correlated Electrons · Physics 2016-06-24 A. Braggio , M. Carrega , D. Ferraro , M. Sassetti

We present a detailed analysis of finite frequency noise for the $\nu=5/2$ fractional quantum Hall state in a quantum point contact geometry. The results are obtained within the Pfaffian and anti-Pfaffian models. We show that the behaviour…

Strongly Correlated Electrons · Physics 2012-04-30 M. Carrega , D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

We derive the symmetrized current-noise spectrum of a quantum dot, which is weakly tunnel-coupled to an electron reservoir and driven by a slow time-dependent gate voltage. This setup can be operated as an on-demand emitter of single…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Niklas Dittmann , Janine Splettstoesser

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

We consider a single-level quantum dot tunnel-coupled to one normal and one superconducting lead. We employ a diagrammatic real-time approach to calculate the finite-frequency current noise for subgap transport. The noise spectrum gives…

Mesoscale and Nanoscale Physics · Physics 2015-04-14 Stephanie Droste , Janine Splettstoesser , Michele Governale

We have calculated the finite-frequency current noise of a superconductor-ferromagnet quantum point contact (SF QPC). This signal is qualitatively affected by the spin-dependence of interfacial phase shifts (SDIPS) acquired by electrons…

Mesoscale and Nanoscale Physics · Physics 2009-02-23 Audrey Cottet , Benoit Doucot , Wolfgang Belzig

We propose and analyze inter-edge tunneling in a quantum spin Hall corner junction as a means to probe the helical nature of the edge states. We show that electron-electron interactions in the one-dimensional helical edge states result in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chang-Yu Hou , Eun-Ah Kim , Claudio Chamon

We study transport between Quantum Hall (QH) edge states at filling factor $\nu = 1$ in the presence of electron-acoustic-phonon coupling. Performing a Bogoliubov-Valatin (BV) trasformation the low-energy spectrum of interacting…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Edvin G. Idrisov

We analyze the current and the shot-noise of an electron interferometer made of the helical edge states of a two-dimensional topological insulator within the framework of non-equilibrium Green's functions formalism. We study in detail…

Mesoscale and Nanoscale Physics · Physics 2013-11-18 Bruno Rizzo , Liliana Arrachea , Michael Moskalets

We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 G. Dolcetto , S. Barbarino , D. Ferraro , N. Magnoli , M. Sassetti

Magnetic impurities with sufficient anisotropy could account for the observed strong deviation of the edge conductance of 2D topological insulators from the anticipated quantized value. In this work we consider such a helical edge coupled…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 B. V. Pashinsky , M. Goldstein , I. S. Burmistrov

We calculate the finite-frequency current noise of a nonequilibrium resonance-level quantum dot close to a dissipative quantum phase transition of the Kosterlitz-Thouless (KT) type between a de-localized phase for weak dissipation and a…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 Chung-Hou Chung

We investigate the finite frequency (f.f.) noise properties of edge states in the quantum Hall regime. We consider the measurement scheme of a resonant detector coupled to a quantum point contact in the weak-backscattering limit. A detailed…

Strongly Correlated Electrons · Physics 2014-09-26 D. Ferraro , M. Carrega , A. Braggio , M. Sassetti
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