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The dynamics responsible for lifting the degeneracy of the Landau levels in the quantum Hall (QH) effect in graphene is studied by utilizing a low-energy effective model with a contact interaction. A detailed analysis of the solutions of…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We study clean, edge-contacted graphene/superconductor interfaces in both the quantum Hall (QH) and zero field regimes. We find that Andreev reflection is substantially stronger than at an interface with a semiconductor two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-06-30 Alexey Bondarev , Gu Zhang , Harold U. Baranger

Superconducting circuits for quantum information processing are often described theoretically in terms of a discrete charge, or equivalently, a compact phase/flux, at each node in the circuit. Here we revisit the consequences of lifting…

Quantum Physics · Physics 2020-03-09 Dat Thanh Le , Jared H. Cole , T. M. Stace

The quantum Hall effect (QHE) is theoretically understood as a superfluid condensate of composite bosons (CBs) -- bound states of electrons and magnetic flux quanta. While dissipationless transport is consistent with this picture, other…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Yuanze Li , Renfei Wang , Jiahao Chen , Wenfeng Zhang , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Rui-Rui Du , Yang Liu , Tian Liang

A growing body of work suggests that planar Josephson junctions fabricated using superconducting hybrid materials provide a highly controllable route toward one-dimensional topological superconductivity. Among the experimental controls are…

The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

Using a numerical tight-binding approach based on the Chebyshev-Bogoliubov-de Gennes method we describe Josephson junctions made of multilayer graphene contacted by top superconducting gates. Both Bernal (ABA) and rhombohedral (ABC)…

Superconductivity · Physics 2014-01-20 W. A. Munoz , L. Covaci , F. M. Peeters

We consider an annular superconductor-insulator-superconductor Josephson-junction, with the insulator being a double layer of electron and holes at Abelian fractional quantum Hall states of identical fillings. When the two superconductors…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Eran Sagi , Yuval Oreg , Ady Stern , Bertrand I. Halperin

We study the transport properties of a serial double quantum dot (DQD) coupled to two superconducting leads, focusing on the Josephson current through the DQD and the associated 0-$\pi$ transitions which result from the subtle interplay…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Rok Zitko , Minchul Lee , Rosa Lopez , Ramon Aguado , Mahn-Soo Choi

Superconducting hybrid junctions are revealing a variety of novel effects. Some of them are due to the special layout of these devices, which often use a coplanar configuration with relatively large barrier channels and the possibility of…

Metal intercalation in epitaxial graphene enables the emergence of proximity-induced superconductivity and modified quantum transport properties. However, systematic transport studies of intercalated graphene have been hindered by…

At total filling factor $\nu_T=1$, interlayer phase coherence in quantum Hall bilayers can result in a tunneling anomaly resembling the Josephson effect in the presence of strong fluctuations. The most robust experimental signature of this…

Mesoscale and Nanoscale Physics · Physics 2011-10-19 Timo Hyart , Bernd Rosenow

A model consisting of a mixture of superconducting and quantum links is proposed to describe the integer quantum Hall transition. The quantum links correspond to tunneling of electrons between trajectories trapped in adjacent potential…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yonatan Dubi , Yigal Meir , Yshai Avishai

Superconductivity often emerges as a dome around a quantum critical point (QCP) where long-range order is suppressed to zero temperature. So far, this has been mostly studied in magnetically ordered materials. By contrast, the interplay…

We theoretically study coherent multiple Andreev reflections in a biased three-terminal Josephson junction. We demonstrate that the direct current flowing through the junction consists of supercurrent components when the bias voltages are…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 M. P. Nowak , M. Wimmer , A. R. Akhmerov

We describe a superconducting circuit consisting of a Josephson junction in parallel with a quantum phase slip wire, which implements a Hamiltonian that is periodic in both charge and flux. This Hamiltonian is exactly diagonalisable in a…

Quantum Physics · Physics 2020-05-12 Dat Thanh Le , Arne Grimsmo , Clemens Müller , T. M. Stace

We study Andreev conversion in clean nanostructures containing an interface between graphene in the quantum Hall (QH) state and a superconductor, focusing on the lowest Landau level. First, several graphene nanostructures formed from zigzag…

Mesoscale and Nanoscale Physics · Physics 2025-07-04 Alexey Bondarev , William H. Klein , Harold U. Baranger

The Josephson junction of a strong spin-orbit material under a magnetic field is a promising Majorana fermion candidate. Supercurrent enhancement by a magnetic field has been observed in the InAs nanowire Josephson junctions and assigned to…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Yosuke Sato , Kento Ueda , Yuusuke Takeshige , Hiroshi Kamata , Kan Li , Lars Samuelson , Hongqi Xu , Sadashige Matsuo , Seigo Tarucha

In this work we study by numerical methods the phase dynamics in ballistic graphene-based short Josephson junctions. The supercurrent through a graphene junction shows a non-sinusoidal phase-dependence, unlike a conventional junction ruled…

Superconductivity · Physics 2015-12-09 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo

Synthetic quantum Hall bilayer (SQHB), realized by optically driven monolayer graphene in the quantum Hall regime, provides a flexible platform for engineering quantum Hall phases as discussed in [Phys. Rev. Lett. 119, 247403]. The coherent…

Strongly Correlated Electrons · Physics 2020-09-02 Ze-Pei Cian , Tobias Grass , Abolhassan Vaezi , Zhao Liu , Mohammad Hafezi
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