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The point contact tunneling conductance between edges of the spin singlet $\nu=2/3,\hat{K}=(3/3/0)$ quantum Hall states is studied both in the quasiparticle tunneling picture and in the electron tunneling picture. Due to the interplay of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. C. Lee

We present a microscopic model for a line junction formed by counter or co-propagating single mode quantum Hall edges corresponding to different filling factors. The ends of the line junction can be described by two possible current…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Diptiman Sen , Amit Agarwal

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

Many-body effects on tunneling of electrons in semiconductor nanowhiskers are investigated in a magnetic quantum limit. We consider the system with which bulk and edge states coexist. We show that interaction parameters of edge states are…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Toshihiro Kubo , Yasuhiro Tokura

We report low-temperature transport measurements in strained InAs/Ga0.68In0.32Sb quantum wells, which supports time-reversal symmetry-protected helical edge states. The temperature and bias voltage dependence of the helical edge conductance…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Tingxin Li , Pengjie Wang , Gerard Sullivan , Xi Lin , Rui-Rui Du

Band topology and related spin (or pseudo-spin) physics of photons provide us with a new dimension for manipulating light, which is potentially useful for information communication and data storage. Especially, the quantum spin Hall effect…

Materials Science · Physics 2020-03-03 Biye Xie , Guangxu Su , Hong-Fei Wang , Feng Liu , Lumang Hu , Si-Yuan Yu , Peng Zhan , Ming-Hui Lu , Zhenlin Wang , Yan-Feng Chen

Effects of the electron-electron interaction on tunneling into a metal in ultra-high magnetic field (ultra-quantum limit) are studied. The range of the interaction is found to have a decisive effect both on the nature of the field-induced…

Strongly Correlated Electrons · Physics 2007-10-30 Shan-Wen Tsai , D. L. Maslov , L. I. Glazman

Using an innovative combination of a quasi-Corbino sample geometry and the cross-gate technique, we have developed a method that enables us to separately contact single edge channels in the quantum Hall regime and investigate equilibration…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Wuertz , R. Wildfeuer , A. Lorke , E. V. Deviatov , V. T. Dolgopolov

We experimentally investigate spin-polarized electron transport between two ferromagnetic contacts, placed at the edge of a two-dimensional electron system with band inversion. The system is realized in a narrow (8~nm) HgTe quantum well,…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 A. Kononov , S. V. Egorov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , E. V. Deviatov

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function…

Strongly Correlated Electrons · Physics 2012-09-12 D. L. Kovrizhin , J. T. Chalker

Since the prediction of a new topological state of matter in graphene, materials acting as topological insulators have attracted wide attention. Shortly after the theoretical proposal for a mercury telluride (HgTe)-based two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Viktor Krueckl , Klaus Richter

In fractional quantum Hall systems, quasiparticles of fractional charge can tunnel between the edges at a quantum point contact. Such tunneling (or backscattering) processes contribute to charge transport, and provide information on both…

Mesoscale and Nanoscale Physics · Physics 2009-12-04 Hua Chen , Zi-Xiang Hu , Kun Yang , E. H. Rezayi , Xin Wan

The quantum spin Hall (QSH) state is a genuinely new state of matter characterized by a non-trivial topology of its band structure. Its key feature is conducting edge channels whose spin polarization has potential for spintronic and quantum…

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

Following the recent observation of the quantum spin Hall (QSH) effect in HgTe quantum wells, an important issue is to understand the effect of impurities on transport in the QSH regime. Using linear response and renormalization group…

Mesoscale and Nanoscale Physics · Physics 2009-06-26 Joseph Maciejko , Chaoxing Liu , Yuval Oreg , Xiao-Liang Qi , Congjun Wu , Shou-Cheng Zhang

We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum Hall wavefunctions and conformal field theories we construct…

Strongly Correlated Electrons · Physics 2018-11-07 Richard Fern , Roberto Bondesan , Steven H. Simon

The Valley Hall effect provides a popular route to engineer robust waveguides for bosonic excitations such a photons and phonons. The almost complete absence of backscattering in many experiments has its theoretical underpinning in a…

Mesoscale and Nanoscale Physics · Physics 2023-08-17 Tirth Shah , Florian Marquardt , Vittorio Peano

We consider transport properties of a two dimensional topological insulator in a double quantum point contact geometry in presence of a time-dependent external field. In the proposed setup an external gate is placed above a single…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 F. Ronetti , M. Carrega , D. Ferraro , J. Rech , T. Jonckheere , T. Martin , M. Sassetti

We study coherent spin transport through helical edge states of topological insulator tunnel-coupled to metallic leads. We demonstrate that unpolarized incoming electron beam acquires finite polarization after transmission through such a…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

We consider a quantum Hall (QH) region in contact with a superconductor (SC), i.e., a QH-SC junction. Due to successive Andreev reflections, the QH-SC interface hosts hybridized electron and hole edge states called chiral Andreev edge…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Anthony David , Julia S. Meyer , Manuel Houzet