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Under quite plausible assumptions on double-layer quantum Hall states with strong interlayer correlation, we show in general framwork that coherent tunneling of a single electron between two layers is possible. It yields Josephson effects…

Condensed Matter · Physics 2015-06-25 Aiichi Iwazaki

Hybridizing superconductivity with the quantum Hall (QH) effects has major potential for designing novel circuits capable of inducing and manipulating non-Abelian states for topological quantum computation. However, despite recent…

Bilayer quantum Hall system at total filling factor $\nu=1$ shows a rich variety of broken symmetry ground states because of the competition between the interlayer and intralayer Coulomb interactions. When the layers are sufficiently close,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

We revisit the physics of electron gas bilayers in the quantum Hall regime [Nature, 432 (2004) 691; Science, 305 (2004) 950], where transport and tunneling measurements provided evidence of a superfluid phase being present in the system.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 O. Kyriienko , K. Wierschem , P. Sengupta , I. A. Shelykh

Many robust physical phenomena in quantum physics are based on topological invariants arising due to intriguing geometrical properties of quantum states. Prime examples are the integer and fractional quantum Hall effects that demonstrate…

Superconductivity · Physics 2023-10-18 Hannes Weisbrich , Raffael L. Klees , Oded Zilberberg , Wolfgang Belzig

Spielman et al. have recently observed a large zero-bias peak in the tunnel conductance of a bi-layer system in a quantum Hall ferromagnet state. We argue that disorder-induced topological defects in the pseudospin order parameter limit the…

Condensed Matter · Physics 2009-10-31 Ady Stern , S. M. Girvin , A. H. MacDonald , Ning Ma

We discuss the diamagnetism induced in an isolated quantum Hall bilayer with total filling factor one by an in-plane magnetic field. This is a signature of counterflow superfluidity in these systems. We calculate magnetically induced…

Mesoscale and Nanoscale Physics · Physics 2012-04-27 P. R. Eastham , N. R. Cooper , D. K. K. Lee

The counterflow transport in quantum Hall bilayers provided by superfluid excitons is locked at small input currents due to a complete leakage caused by the interlayer tunneling. We show that the counterflow critical current I_c^{CF} above…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. V. Fil

I review recent novel experimental and theoretical advances in the physics of quantum Hall effect bilayers. Of particular interest is a broken symmetry state which optimizes correlations by putting the electrons into a coherent…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 S. M. Girvin

Filling factor $\nu=1$ incompressible states in ideal bilayer quantum Hall systems have spontaneous interlayer phase coherence and can be regarded either as easy-plane pseudospin ferromagnets or as condensates of excitons formed from…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi , Allan H. MacDonald

We report on the first realization of a single bosonic Josephson junction, implemented by two weakly linked Bose-Einstein condensates in a double-well potential. In order to fully investigate the nonlinear tunneling dynamics we measure the…

Other Condensed Matter · Physics 2016-08-31 Michael Albiez , Rudolf Gati , Jonas Foelling , Stefan Hunsmann , Matteo Cristiani , Markus K. Oberthaler

We present a mechamism why interlayer tunneling conductivity in coherent bilayer quantum Hall states at $\nu=1$ is anomalously large, but finite in the recent experiment. According to the mechanism, pseudoSkyrmions causes the finite…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Aiichi Iwazaki

We consider a simple model for an SNS Josephson junction in which the "normal metal" is a section of a filling-factor $\nu=2$ integer quantum-Hall edge. We provide analytic expressions for the current/phase relations to all orders in the…

Superconductivity · Physics 2015-03-19 Michael Stone , Yiruo Lin

We analyze the coherent dynamics of a fluxonium device (Manucharyan et al 2009 Science 326 113) formed by a superconducting ring of Josephson junctions in which strong quantum phase fluctuations are localized exclusively on a single weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 G. Rastelli , M. Vanevic , W. Belzig

We study the magnetotransport properties of dual-gated graphene bilayers, in which the total density and layer density imbalance are independently controlled. As the bilayer is imbalanced we observe the emergence of a quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 Seyoung Kim , E. Tutuc

We present a theory for the regime of coherent interlayer tunneling in a disordered quantum Hall bilayer at total filling factor one, allowing for the effect of static vortices. We find that the system consists of domains of polarized…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 D. K. K. Lee , P. R. Eastham , N. R. Cooper

In this paper we discuss solid-state nanoelectronic realizations of Josephson flux qubits with large tunneling amplitude between the two macroscopic states. The latter can be controlled via the height and wells form of the potential…

Superconductivity · Physics 2013-04-02 V. I. Shnyrkov , A. A. Soroka , S. I. Melnik

Quasiparticle tunneling across a Josephson junction sets a limit for the lifetime of a superconducting qubit state. We develop a general theory of the corresponding decay rate in a qubit controlled by a magnetic flux. The flux affects…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 G. Catelani , Jens Koch , L. Frunzio , R. J. Schoelkopf , M. H. Devoret , L. I. Glazman

We study the Josephson-like interlayer tunneling signature of the strongly correlated $\nu_T = 1$ quantum Hall phase in bilayer two-dimensional electron systems as a function of the layer separation, temperature and interlayer charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. R. Champagne , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The natures of the ground state in a $\nu_{\rm T}=1$ bilayer quantum Hall system at a variety of layer spacing are investigated. At small layer separations the system exhibits spontaneous interlayer phase coherence. It is claimed that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kentaro Nomura , Daijiro Yoshioka