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We studied the tunnel transport between the edge of a Pfaffian fractional quantum Hall state and that of an integer quantum Hall state. Based on the duality argument between the strong and weak tunnelings, we found that an Andreev-like…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 Ryoi Ohashi , Ryota Nakai , Takehito Yokoyama , Yukio Tanaka , Kentaro Nomura

We study the reflection of electrons and quasiparticles on point-contact interfaces between fractional quantum Hall (FQH) states and normal metals (leads), as well as interfaces between two FQH states with mismatched filling fractions. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy P. Sandler , Claudio de C. Chamon , Eduardo Fradkin

Controllable point junctions between different quantum Hall phases are a necessary building block for the development of mesoscopic circuits based on fractionally-charged quasiparticles. We demonstrate how particle-hole duality can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Stefano Roddaro , Nicola Paradiso , Vittorio Pellegrini , Giorgio Biasiol , Lucia Sorba , Fabio Beltram

Remarkable nonlinearities in the differential tunneling conductance between fractional quantum Hall edge states at a constriction are observed in the weak-backscattering regime. In the $\nu $ = 1/3 state a peak develops as temperature is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba , Roberto Raimondi , Giovanni Vignale

We explain effective charge anomalies recently observed for fractional quantum Hall edge states at $\nu=5/2$ [M. Dolev, Y. Gross, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Phys.Rev. B. \textbf{81}, 161303(R) (2010)]. The…

Strongly Correlated Electrons · Physics 2011-10-03 M. Carrega , D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

We investigate the influence of the superconducting (S) proximity effect in the quantum Hall (QH) regime by computing the charge conductance flowing through a graphene-based QH/S/QH junction. This situation offers the exciting possibility…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Pierre Carmier

Tunneling of fractionally charged quasi-particles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Elad Shopen , Yuval Gefen , Yigal Meir

Confinement of small-gapped fractional quantum Hall states facilitates quasiparticle manipulation and is an important step towards quasiparticle interference measurements. Demonstrated here is conduction through top gate defined, narrow…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. L. Willett , M. J. Manfra , L. N. Pfeiffer , K. W. West

Electron correlation in a quantum many-body state appears as peculiar scattering behaviour at its boundary, symbolic of which is Andreev reflection at a metal-superconductor interface. Despite being fundamental in nature, dictated by the…

Mesoscale and Nanoscale Physics · Physics 2021-05-20 Masayuki Hashisaka , Thibaut Jonckheere , Takafumi Akiho , Satoshi Sasaki , Jerome Rech , Thierry Martin , Koji Muraki

We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors. Intriguing transport properties are exhibited when strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , E. Shimshoni

We show that a quantum dot connected via tunnel barriers to superconducting leads traps a continuously tunable and hence fractional charge. The fractional charge on the island is due to particle-hole symmetry breaking and can be tuned via a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. A. Sadovskyy , G. B. Lesovik , G. Blatter

Andreev reflection occurs in a normal metal-superconductor junction, when an electron on the normal side can only be transmitted as a Cooper pair in the superconductor, with the reflection of a hole on the normal side. A similar phenomenon…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 K. Iyer , T. Martin , J. Rech , T. Jonckheere

Ge/SiGe quantum well heterostructures confining a high-mobility two-dimensional hole gas (2DHG) have emerged as a compelling platform for hybrid superconductor(S)-semiconductor(Sm) quantum devices. Here, we investigate the low-temperature…

Theory predicts that quasiparticle tunneling between the counter-propagating edges in a fractional quantum Hall state can be used to measure the effective quasiparticle charge e* and dimensionless interaction parameter g, and thereby…

Mesoscale and Nanoscale Physics · Physics 2008-05-18 Iuliana P. Radu , J. B. Miller , C. M. Marcus , M. A. Kastner , L. N. Pfeiffer , K. W. West

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amit Agarwal , Diptiman Sen

The scattering of exotic quasiparticles may follow different rules than electrons. In the fractional quantum Hall regime, a quantum point contact (QPC) provides a source of quasiparticles with field effect selectable charges and statistics,…

Mesoscale and Nanoscale Physics · Physics 2024-07-26 P. Glidic , O. Maillet , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , A. Anthore , F. Pierre

Some models of the 5/2 fractional quantum Hall state predict that the quasi-particles, which carry the charge, have non-Abelian statistics: exchange of two quasi-particles changes the wave function more dramatically than just the usual…

Mesoscale and Nanoscale Physics · Physics 2012-06-26 X. Lin , C. Dillard , M. A. Kastner , L. N. Pfeiffer , K. W. West

Tunneling of fractionally charged quasiparticles across a two-dimensional electron system on a fractional quantum Hall plateau is expected to be strongly enhanced at low temperatures. This theoretical prediction is at odds with recent…

Superconductivity · Physics 2009-11-10 Emiliano Papa , Allan. H. MacDonald

We investigate the interplay between the quantum Hall (QH) effect and superconductivity in InAs surface quantum well (SQW)/NbTiN heterostructures using a quantum point contact (QPC). We use QPC to control the proximity of the edge states to…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Mehdi Hatefipour , Joseph J. Cuozzo , Ido Levy , William M. Strickland , Dylan Langone , Enrico Rossi , Javad Shabani
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