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The electrons in the edge channels of two-dimensional topological insulators can be described as a helical Tomonaga-Luttinger liquid. They couple to nuclear spins embedded in the host materials through the hyperfine interaction, and are…

Mesoscale and Nanoscale Physics · Physics 2018-03-30 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

Dynamical magnetic impurities (MI) are considered as a possible origin for suppression of the ballistic helical transport on edges of 2D topological insulators. The MIs provide a spin-flip backscattering of itinerant helical electrons. Such…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Oleg M. Yevtushenko , Vladimir I. Yudson

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

The measurement of finite frequency noise cross-correlations represents an experimental challenge in mesoscopic physics. Here we propose a generalisation of the resonant LC circuit setup of Lesovik and Loosen which allow to probe directly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marjorie Creux , Adeline Crepieux , Thierry Martin

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

Effects of resonant acoustic phonon scattering on magnetoresistivity are examined in two-dimensional electron systems at low temperatures by using a balance-equation magnetotransport scheme direct controlled by the current. The…

Mesoscale and Nanoscale Physics · Physics 2008-05-13 X. L. Lei

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

The noise spectra associated with correlations of the current through a single level quantum dot, and with the charge fluctuations on the dot, are calculated for a finite bias voltage. The results turn out to be sensitive to the asymmetry…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. A. Rothstein , O. Entin-Wohlman , A. Aharony

The effects of finite temperature, Meissner screening and surface roughness on the spontaneous edge current for higher chirality quasi-two dimensional superconductors are studied in the continuum limit using the quasiclassical Eilenberger…

Superconductivity · Physics 2018-09-05 Xin Wang , Zhiqiang Wang , Catherine Kallin

Nonequilibrium situations where selected currents are suppressed are of interest in fields like thermoelectrics and spintronics, raising the question of how the related noises behave. We study such zero-current charge, spin, and heat noises…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Ludovico Tesser , Matteo Acciai , Christian Spånslätt , Juliette Monsel , Janine Splettstoesser

We theoretically investigate the frequency dependence of phonon-induced current noise in armchair carbon nanotubes at room temperature. Our results reveal the emergence of multiple resonance peaks in the high-frequency regime, which cannot…

Mesoscale and Nanoscale Physics · Physics 2026-01-19 Raimu Akimoto , Aina Sumiyoshi , Takahiro Yamamoto

We investigate a time-harmonic wave problem in a waveguide. By means of asymptotic analysis techniques, we justify the so-called Fano resonance phenomenon. More precisely, we show that the scattering matrix considered as a function of a…

Analysis of PDEs · Mathematics 2018-01-29 Lucas Chesnel , Sergei A. Nazarov

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect or a pinning defect. The phonon…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Pablo San-Jose , Francisco Guinea , Thierry Martin

The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers such as circular and triangular holes. As thermal phonons are generated in all directions, we study their…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Thu Trang Nghiem Thi , P. -Olivier Chapuis

We develop a theory of finite-temperature momentum-resolved tunneling spectroscopy (MRTS) for disordered, interacting two-dimensional topological-insulator edges. The MRTS complements conventional electrical transport measurement in…

Strongly Correlated Electrons · Physics 2020-08-28 Tzu-Chi Hsieh , Yang-Zhi Chou , Leo Radzihovsky

We present an effective low-energy theory of electron-phonon coupling effects for clean cylindrical topological insulator nanowires. Acoustic phonons are modelled by isotropic elastic continuum theory with stress-free boundary conditions.…

Mesoscale and Nanoscale Physics · Physics 2020-01-07 Kathrin Dorn , Alessandro De Martino , Reinhold Egger

We study differential shot noise in mesoscopic diffusive normal-superconducting (NS) heterostructures at finite voltages where nonlinear effects due to the superconducting proximity effect arise. A numerical scattering-matrix approach is…

Mesoscale and Nanoscale Physics · Physics 2009-06-17 Markku P. V. Stenberg , Tero T. Heikkilä

We investigate the current noise in HgTe-based quantum wells with an inverted band structure in the regime of disordered edge transport. Consistent with previous experiments, the edge resistance strongly exceeds $h/e^2$ and weakly depends…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 E. S. Tikhonov , D. V. Shovkun , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

The current through a helical edge state of a quantum-spin-Hall insulator may be fully transmitted through a magnetically gapped region due to a combination of spin-transfer torque and spin pumping [Meng {\em et al.}, Phys. Rev. B {\bf 90},…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 P. G. Silvestrov , P. Recher , P. W. Brouwer

The topological insulators have a gap in the bulk but extended states at the edge that can carry current. We study a geometry in which such edge states will manifest themselves through periodic oscillations in the magnetoconductance of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-19 Rui-Lin Chu , Jian Li , J. K. Jain , Shun-Qing Shen