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We study a continuum model of the interface of graphene and vacuum in the quantum hall regime via sign-problem-free quantum Monte Carlo, allowing us to investigate the interplay of topology and strong interactions in a graphene quantum Hall…

Strongly Correlated Electrons · Physics 2022-10-12 Zhenjiu Wang , David J. Luitz , Inti Sodemann Villadiego

At low temperatures, the transport through a superconductor-ferromagnet tunnel interface is due to tunneling of electrons in pairs. Exchange field of a monodomain ferromagnet aligns electron spins and suppresses the two electron tunneling.…

Superconductivity · Physics 2007-05-23 Nikolai M. Chtchelkatchev , Igor S. Burmistrov

The electronic states in a corner-overgrown bent GaAs/AlGaAs quantum well heterostructure are studied with numerical Hartree simulations. Transmission electron microscope pictures of the junction justify the sharp-corner assumption. In a…

Because the valleys in the band structure of graphene are related by time-reversal symmetry, electrons from one valley are reflected as holes from the other valley at the junction with a superconductor. We show how this Andreev reflection…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , C. W. J. Beenakker

Indium Arsenide (InAs) near surface quantum wells (QWs) are promising for the fabrication of semiconductor-superconductor heterostructures given that they allow for a strong hybridization between the two-dimensional states in the quantum…

Topological aspects of superconductivity in quantum spin-Hall systems (QSHSs) such as thin layers of three-dimensional topological insulators (3D Tis) or two-dimensional Tis are in the focus of current research. We examine hybrid…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 R. W. Reinthaler , G. Tkachov , E. M. Hankiewicz

Quantum Hall (QH) and quantum spin Hall (QSH) phases have very different edge states and, when going from one phase to the other, the direction of one edge state must be reversed. We study this phenomena in graphene in presence of a strong…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Oleksii Shevtsov , Pierre Carmier , Cyril Petitjean , Christoph Groth , David Carpentier , Xavier Waintal

We study Andreev reflection in a ballistic one-dimensional channel coupled in parallel to a superconductor via a tunnel barrier of finite length $L$. The dependence of the low-energy Andreev reflection probability $R_A$ on $L$ reveals the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Giorgos Fagas , Grigory Tkachov , Andreas Pfund , Klaus Richter

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 M. A. Hidalgo

In this paper we report on the observation of very high and narrow magnetoconductance peaks which we attribute to the transition to quantum Hall ferromagnet (QHFM) state occurring at the edges of the sample. We show that the expected…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 E. Bobko , D. Płoch , D. Śnieżek , M. Majewicz , M. Fołtyn , T. Wojciechowski , S. Chusnutdinow , T. Wojtowicz , J. Wróbel

Abrikosov vortices, where the superconducting gap is completely suppressed in the core, are dissipative, semi-classical entities that impact applications from high-current-density wires to superconducting quantum devices. In contrast, we…

Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

In the layered cuprate perovskites, the occurence of high-temperature superconductivity seems deeply related to the unusual nature of the hole excitations. The limiting case of a very small number of holes diffusing in the antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Yayu Wang , N. P. Ong

We study a transverse electron-hole focusing effect in a normal-superconductor system. The spectrum of the quasiparticles is calculated both quantum mechanically and in semiclassical approximation, showing an excellent agreement. A…

Mesoscale and Nanoscale Physics · Physics 2007-08-15 P. Rakyta , A. Kormanyos , Z. Kaufmann , J. Cserti

We analyze the dissipative conductance of the zero-plateau quantum Hall state appearing in undoped graphene in strong magnetic fields. Charge transport in this state is assumed to be carried by a magnetic domain wall, which forms by…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Efrat Shimshoni , H. A. Fertig , G. Venketeswara Pai

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Vadim Khrapai

We consider a hybrid quantum Hall-superconductor system, where a superconducting finger with oblique profile is wedged into a two-dimensional electron gas in the presence of a perpendicular magnetic field, as considered by Lee et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Flavio Ronetti , Bence Hetényi , Daniel Loss , Jelena Klinovaja

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

A parabolic quantum dot (QD) as realized by biasing nanostructured gates on bilayer graphene is investigated in the presence of electron-electron interaction. The energy spectrum and the phase diagram reveal unexpected transitions as…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 M. Zarenia , B. Partoens , T. Chakraborty , F. M. Peeters

We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions between the delocalized chiral edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. H. Castro Neto , F. Guinea , N. M. R. Peres