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We study the electronic properties of an array of small metallic grains connected by tunnel junctions. Such an array serves as a model for a granular metal. Previous theoretical studies of junction arrays were based on models of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. S. Beloborodov , K. B. Efetov , Alexander Altland , F. W. J. Hekking

We consider a honeycomb network built of quantum wires, with each node of the network having a Y-junction of three wires with a ring through which flux can be inserted. The junctions are the basic circuit elements for the network, and they…

Strongly Correlated Electrons · Physics 2013-02-13 Jaime Medina , Dmitry Green , Claudio Chamon

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

In this work we investigate the phenomena associated with the new thresholds in the spectrum of excitations arising when different one-dimensional strongly interacting systems are voltage biased and weakly coupled by tunneling. We develop…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Artem Borin , Eugene Sukhorukov

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka , Kentaro Nomura

The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both…

Mesoscale and Nanoscale Physics · Physics 2009-09-22 Andrea Cappelli , Lachezar S. Georgiev , Guillermo R. Zemba

We construct a generalization of the Chalker-Coddington network model to the case of fractional quantum Hall effect, which describes the tunneling between multiple chiral edges. We derive exact local and global duality symmetries of this…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Leonid P. Pryadko , Karen Chaltikian

Tunnelling of material particles through a classically impenetrable barrier constitutes one of the hallmark effects of quantum physics. When interactions between the particles compete with their mobility through a tunnel junction,…

Other Condensed Matter · Physics 2010-04-06 S. Foelling , S. Trotzky , P. Cheinet , M. Feld , R. Saers , A. Widera , T. Mueller , I. Bloch

We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors $\nu_j$ and one common…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. V. Ponomarenko , D. V. Averin

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 discuss the role of direct Coulomb interaction on the bulk insulator of the integer quantized Hall effect that bridges the topological insulators and the conductance quantization. We investigate the magneto-transport properties of a…

Mesoscale and Nanoscale Physics · Physics 2016-08-11 A. Yıldız , D. Eksi , A. Siddiki

We present an analytical scaling theory for localization in a two-dimensional hierarchical network model that is designed to represent phase-coherent electron transport in the quantum-Hall regime. Scaling expressions for both the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , Efrat Shimshoni

Quantum Hall systems host quasiparticles demonstrating correlated electron physics and non-trivial quantum statistics. Excitonic phases, archetypical for interaction effect, have attracted significant interest in recent years in…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Rui Pu , Naomi Mizuno , Fernando Camino , Runchen Li , Kenji Watanabe , Takashi Taniguchi , Dmitri Averin , Xu Du

I consider the effect of the finite width of the resonant level on its thermodynamics and tunneling transport properties in the single electron charging regime. The finite width of the levels results from their delocalization with formation…

Condensed Matter · Physics 2008-02-03 V. Ponomarenko

We present an input-output formalism describing a tunnel junction strongly coupled to its electromagnetic environment. We exploit it in order to investigate the dynamics of the radiation being emitted and scattered by the junction. We find…

Mesoscale and Nanoscale Physics · Physics 2017-03-30 Christophe Mora , Carles Altimiras , Philippe Joyez , Fabien Portier

We argue that a system of interacting D-branes, generalizing a recent proposal, can be modelled as a Quantum Hall fluid. We show that tachyon condensation in such a system is equivalent to one particle tunnelling. In a conformal field…

High Energy Physics - Theory · Physics 2009-11-07 L. Cappiello , G. Cristofano , G. Maiella , V. Marotta

We study tunneling phenomena at the edge of the anti-Pfaffian quantum Hall state at the filling factor $\nu=5/2$. The edge current in a single point-contact is considered. We focus on nonlinear behavior of two-terminal conductance with the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Toru Ito , Kentaro Nomura , Naokazu Shibata

We study large arrays of mesoscopic junctions between gapless superconductors where the tunneling processes of both, particle-hole and Cooper, pairs give rise to a strongly retarded effective action which, contrary to the standard case, can…

Superconductivity · Physics 2015-05-28 D. V. Khveshchenko , R. Crooks

A single molecule break junction device serves as a tunable model system for probing the many body Kondo state. The low-energy properties of this state are commonly described in terms of a Kondo model, where the response of the system to…

Strongly Correlated Electrons · Physics 2013-06-28 Gavin D. Scott , Douglas Natelson , Stefan Kirchner , Enrique Muñoz

A simple model is considered to study the effects of finite size and internal structure in the tunneling of bound two-body systems through a potential barrier. It is demonstrated that these effects are able to increase the tunneling…

Nuclear Theory · Physics 2009-08-18 V. V. Flambaum , V. G. Zelevinsky
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