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The concepts of an instanton vacuum and F-invariance are used to derive a complete effective theory of massless edge excitations in the quantum Hall effect. We establish, for the first time, the fundamental relation between the instanton…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 A. M. M. Pruisken , B. Skoric , M. A. Baranov

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

We study the intra-planar tunneling between quantum Hall samples separated by a quasi one-dimensional barrier, induced through the interaction of edge degrees of freedom with the charge density waves of a Hall crystal defined in a parallel…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Moriconi

We study momentum-resolved tunneling into a system of spinless chiral one-dimensional fermions, such as electrons at the edge of an integer quantum Hall system. Interactions between particles give rise to broadening of the spectral function…

Strongly Correlated Electrons · Physics 2022-04-29 K. A. Matveev

In this study, we conducted a detailed investigation into the time evolution of the probability density within a 1D double-well potential hosting a Bose-Fermi mixture. This system comprised spinless bosons and spin one-half fermions with…

Quantum Gases · Physics 2023-11-07 Avella Richard , Grajales Diana , Rubio Juan Pablo

The edge state theory of a class of symmetric double-layer quantum Hall systems with interlayer electron tunneling reduces to the sum of a free field theory and a field theory of a chiral Bose field with a self-interaction of the…

Strongly Correlated Electrons · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 E. Bocquillon , V. Freulon , J. -M. Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

This thesis concerns the correlation structure of interacting Fermi gases on a torus in the mean-field regime. A bosonization method in the spirit of Sawada is developed to analyze the system, and is applied to obtain an upper bound for the…

Mathematical Physics · Physics 2023-01-31 Martin Ravn Christiansen

We analyze dephasing in a model system where electrons tunnel sequentially through a symmetric interference setup consisting of two single-level quantum dots. Depending on the phase difference between the two tunneling paths, this may…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt , C. Bruder

We discuss the problem of the X-ray absorption in a system of interacting fermions and, in particular, those features in the X-ray spectra that can be used to discriminate between conventional Fermi-liquids and novel "strange metals".…

Condensed Matter · Physics 2016-08-31 D. V. Khveshchenko , P. W. Anderson

Coupled quantum Hall edge channels show intriguing non-trivial modes, for example, charge and neutral modes at Landau level filling factors 2 and 2/3. We propose an appropriate and effective model with Coulomb interaction and…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Toshimasa Fujisawa , Chaojing Lin

The non-Fermi-liquid properties of an ultrasmall quantum dot coupled to a lead and to a quantum box are investigated. Tuning the ratio of the tunneling amplitudes to the lead and box, we find a line of two-channel Kondo fixed points for…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders , Eran Lebanon , Avraham Schiller

The interaction between the Fermi sea of conduction electrons and a non-adiabatic attractive impurity potential can lead to a power-law divergence in the tunneling probability of charge through the impurity. The resulting effect, known as…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Paritosh Karnatak , Srijit Goswami , Vidya Kochat , Atindra Nath Pal , Arindam Ghosh

We discuss Fermi-edge singularity effects on the linear and nonlinear transient response of an electron gas in a doped semiconductor. We use a bosonization scheme to describe the low energy excitations, which allows to compute the time and…

Mesoscale and Nanoscale Physics · Physics 2007-10-30 D. Porras , J. Fernandez-Rossier , C. Tejedor

We consider tunneling of spinless electrons from a single channel emitter into an empty collector through an interacting resonant level of the quantum dot. When all Coulomb screening of sudden charge variations of the dot during the…

Strongly Correlated Electrons · Physics 2017-05-17 V. V. Ponomarenko , I. A. Larkin

We have calculated the linear conductance associated with tunneling of individual quasiparticles of primary quantum Hall liquids with filling factors $\nu =1/(2m+1)$ through a system of two antidots in series. On-site Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dmitri V. Averin , James A. Nesteroff

The edge of a two-dimensional electron system (2DES) in a magnetic field consists of one-dimensional (1D) edge-channels that arise from the confining electric field at the edge of the specimen$^{1-3}$. The crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Kang , H. L. Stormer , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We use chiral Luttinger liquid theory to study transport through a quantum dot in the fractional quantum Hall effect regime and find rich non-Fermi-liquid tunneling characteristics. In particular, we predict a remarkable…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael R. Geller , Daniel Loss

We theoretically study microwave absorption spectroscopy of fractional quantum Hall droplets in the presence of quasiparticle tunneling across a quantum point contact. This contact-free probe provides access to collective edge dynamics…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Fumihiro Murabayashi , Ryotaro Sano , Flavio Ronetti , Jérôme Rech , Thierry Martin , Thibaut Jonckheere , Takeo Kato

In this work we study the particle conductance of a strongly interacting Fermi gas through a quantum point contact. With an atom-molecule two-channel model, we compute the contribution to particle conductance by both the fermionic atoms and…

Quantum Gases · Physics 2017-02-08 Boyang Liu , Hui Zhai , Shizhong Zhang