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Related papers: Helical Quantum Edge Gears in 2D Topological Insul…

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We derive diffusion equations, which describe spin-charge coupled transport on the helical metal surface of a three-dimensional topological insulator. The main feature of these equations is a large magnitude of the spin-charge coupling,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , D. G. Hawthorn

We theoretically investigate the Coulomb drag between the edge states of two quantum spin Hall systems. Using an interacting theory of the one-dimensional helical edge modes, we show that the drag vanishes at second order in the inter-edge…

Strongly Correlated Electrons · Physics 2010-09-29 Vladimir A. Zyuzin , Gregory A. Fiete

We investigate heat conduction in a one-dimensional chain of rigid rotors. The rotors are constrained to rotate in a plane about fixed pivot points and coupled by springs, such that in equilibrium, the neighboring rotors lie on opposite…

Statistical Mechanics · Physics 2025-11-19 T. R. Vishnu , Dibyendu Roy

I analyze electron transport through a Y-junction formed by helical edge states of a two-dimensional topological insulator (2DTI), focusing on the strongly interacting regime. An experimentally motivated device geometry and a…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 E. Novais

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

Topological insulators are a novel class of quantum matter with a gapped insulating bulk yet gapless spin helical Dirac fermion conducting surface states. Here, we report local and non-local electrical and magneto transport measurements in…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Yang Xu , Ireneusz Miotkowski , Yong P. Chen

We study theoretically the transport of the one-dimensional single-channel interacting electron gas through a strong potential barrier in the parameter regime where the spin sector of the low-energy Luttinger liquid theory is gapped by…

Strongly Correlated Electrons · Physics 2018-03-07 N. Kainaris , S. T. Carr , A. D. Mirlin

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

A two-dimensional time-reversal symmetric topological superconductor is a fully gapped system possessing a helical Majorana mode on the edges. This helical Majorana edge mode (HMEM), which is a Kramer's pair of two chiral Majorana edge…

Superconductivity · Physics 2018-09-12 Yingyi Huang , Ching-Kai Chiu

Transport by helical edge states of a quantum spin Hall insulator is experimentally characterized by a weakly temperature-dependent mean free path of a few microns and by reproducible conductance oscillations, challenging proposed…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Lukas Kimme , Bernd Rosenow , Arne Brataas

We investigate the effect of $k$-cubic spin-orbit interaction on electrical and thermoelectric transport properties of two-dimensional fermionic systems. We obtain exact analytical expressions of the inverse relaxation time (IRT) and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-26 Alestin Mawrie , Sonu Verma , Tarun Kanti Ghosh

A Tomonaga-Luttinger (TL) liquid is known as an integrable system, in which a non-equilibrium many-body state survives without relaxing to a thermalized state. This intriguing characteristic is tested experimentally in copropagating quantum…

Mesoscale and Nanoscale Physics · Physics 2018-04-10 Kosuke Itoh , Ryo Nakazawa , Tomoaki Ota , Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa

We derive and analyze the effective low-energy theory for interacting electrons in a cylindrical nanowire made of a strong topological insulator. Three different approaches provide a consistent picture for the band structure, where surface…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 R. Egger , A. Zazunov , A. Levy Yeyati

We study capacitance of the 2D topological insulator (TI) edge states. The total capacitance is combined as a serial circuite of 3 capacitors presenting geometrical $C_G$, quantum $C_Q$ and correlation $C_{corr}$ contributions to the…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 L. S. Braginsky , M. V. Entin

The electrodynamical response of the edge of a compressible Quantum Hall system affects tunneling into the edge. Using the composite Fermi liquid theory, we derive an effective action for the edge modes interacting with tunneling charge.…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. V. Shytov , B. I. Halperin

We propose that two-channel orbital Kondo ``spin'' 1/2 conductance can be measured in a quantum dot at Coulomb Blockade with an odd number of electrons with contacts in a pillar configuration, if an orthogonal magnetic field induces an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Domenico Giuliano , Benoit Jouault , Arturo Tagliacozzo

The surface states of three-dimensional topological insulators exhibit a helical spin texture with spin locked to momentum. To date, however, the direct all-electrical detection of the helical spin texture has remained elusive owing to the…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Shi-Han Zheng , Hou-Jian Duan , Mou Yang , Rui-Qiang Wang

In one-dimensional (1D) systems, electronic interactions lead to a breakdown of Fermi liquid theory and the formation of a Tomonaga-Luttinger Liquid (TLL). The strength of its many-body correlations can be quantified by a single…

Our experimental studies of electron transport in wide (14 nm) HgTe quantum wells confirm persistence of a two-dimensional topological insulator state reported previously for narrower wells, where it was justified theoretically. Comparison…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 E. B. Olshanetsky , Z. D. Kvon , G. M. Gusev , A. D. Levin , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

We have calculated the linear conductance associated with tunneling of individual quasiparticles of primary quantum Hall liquids with filling factors $\nu =1/(2m+1)$ through a system of two antidots in series. On-site Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dmitri V. Averin , James A. Nesteroff