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The area and perimeter dependence of the Josephson-like interlayer tunneling signature of the coherent $\nu_T=1$ quantum Hall phase in bilayer two-dimensional electron systems is examined. Electrostatic top gates of various sizes and shapes…

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

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

A non-planar geometry for the quantum Hall (QH) effect is studied, whereby two quantum Hall (QH) systems are joined at a sharp right angle. When both facets are at equal filling factor nu the junction hosts a channel with non-quantized…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Grayson , L. Steinke , D. Schuh , M. Bichler , L. Hoeppel , J. Smet , K. v. Klitzing , D. K. Maude , G. Abstreiter

Advancing a microscopic framework that rigorously unveils the underlying topological hallmarks of fractional quantum Hall (FQH) fluids is a prerequisite for making progress in the classification of strongly-coupled topological matter. Here…

Strongly Correlated Electrons · Physics 2022-11-08 Arkadiusz Bochniak , Zohar Nussinov , Alexander Seidel , Gerardo Ortiz

We have studied a clean finite-length line junction between interacting counterpropagating single-branch fractional-quantum-Hall edge channels. Exact solutions for low-lying excitations and transport properties are obtained when the two…

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

The unique properties of quantum Hall devices arise from the ideal one-dimensional edge states that form in a two-dimensional electron system at high magnetic field. Tunnelling between edge states across a quantum point contact (QPC) has…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 F. Martins , S. Faniel , B. Rosenow , H. Sellier , S. Huant , M. G. Pala , L. Desplanque , X. Wallart , V. Bayot , B. Hackens

Weakly disordered bilayer quantum Hall systems at filling factor $\nu=1$ show spontaneous interlayer phase coherence if the layers are sufficiently close together. We study the collective modes in the system, the current-voltage…

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

The electrodynamical response of the edge of a compressible Quantum Hall system affects tunneling into the edge. Using the composite Fermi liquid theory, we derive an effective action for the edge modes interacting with tunneling charge.…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. V. Shytov , B. I. Halperin

We analyze a quantum spin Hall (QSH) device with a point contact connecting two of its edges. The contact supports a net spin tunneling current that can be probed experimentally via a two-terminal resistance measurement. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Ström , Henrik Johannesson

Using bosonization techniques for (2+1)D systems, we show that the transverse conductance for a system with general current interactions, when measured between perfect Hall regions is not renormalized at low temperatures. Our method extends…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daniel G. Barci , L. E. Oxman

Tunneling between a point contact and a one-dimensional wire is usually described with the help of a tunneling Hamiltonian that contains a delta function in position space. Whereas the leading order contribution to the tunneling current is…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Michele Filippone , Piet Brouwer

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

In a quantum wire with ideal helical modes, the conductance is quantized in units of e^2/h, provided the wire is connected to Fermi liquid leads. We show that this universality does not hold in partially gapped quasi-helical systems such as…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Tobias Meng , Daniel Loss

We present a theoretical analysis of recent experimental results of Yacoby et al. on transport properties of high quality quantum wires. We suggest an explanation of observed deviations of the conductance from the universal value $2e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Anton Yu. Alekseev , Vadim V. Cheianov

We present measurements of momentum-resolved magneto-tunneling from a perpendicular two-dimensional (2D) contact into integer quantum Hall (QH) edges at a sharp edge potential created by cleaved edge overgrowth. Resonances in the tunnel…

Condensed Matter · Physics 2009-11-10 M. Huber , M. Grayson , D. Schuh , M. Bichler , W. Biberacher , W. Wegscheider , G. Abstreiter

In a recent paper by S. Moroz, C. Hoyos, and L. Radzihovsky [Phys. Rev. B 91, 195409 (2015)], it is claimed that the conductivity at low frequency $\omega$ and small wavevector $q$ along the edge of a quantum Hall (QH) system (that…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 J. Höller , N. Read

We study a tunneling geometry defined by a single point-contact constriction that brings to close vicinity two points sitting at the same edge of a quantum Hall liquid, shortening the trip between the otherwise spatially separated points…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Chang-Yu Hou , Claudio Chamon

An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that the currents do not flow outside the sample. With this…

Condensed Matter · Physics 2009-10-28 Naoto Nagaosa , Mahito Kohmoto

The structure of edge modes at the boundary of quantum Hall (QH) phases forms the basis for understanding low energy transport properties. In particular, the presence of ``upstream'' modes, moving against the direction of charge current…

The conductance for tunneling through a point contact between two $\nu =1/3$ quantum Hall edges is described by a universal scaling function, which has recently been measured experimentally. We compute this universal function exactly, by…

Condensed Matter · Physics 2009-10-22 P. Fendley , A. W. W. Ludwig , H. Saleur