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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

The role of noise in the transport properties of quantum excitations is a topic of great importance in many fields, from organic semiconductors for technological applications to light-harvesting complexes in photosynthesis. In this paper we…

Quantum Physics · Physics 2016-11-22 Stefano Iubini , Octavi Boada , Yasser Omar , Francesco Piazza

We investigate the effect of quantisation of vibrational modes on a system in which the transport path is through a quantum dot mounted on a cantilever or spring such that tunnelling to and from the dot is modulated by the oscillation. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Angus MacKinnon , Andrew D Armour

The edge states of the quantum Hall and fractional quantum Hall effect of a two-dimensional electron gas provide key access to the excitations of the bulk. Here we demonstrate controlled transmission of edge states in bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing Li , Hua Wen , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

We consider a model for an edge state of electronic systems in the quantum Hall regime with filling $\nu=1$ and in the quantum spin Hall regime. In both cases the system is in contact with two reservoirs by tunneling at point contacts. Both…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Liliana Arrachea , Eduardo Fradkin

Experimental studies of the transitions from a primary quantum Hall (QH) liquid at filling factor 1/k (with k an odd integer) to the insulator have indicated a ``quantized Hall insulator'' (QHI) behavior: while the longitudinal resistivity…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Efrat Shimshoni

Topologically nontrivial band structure of a material may give rise to special states that are confined to the material's boundary and protected against disorder and scattering. Quantum spin Hall effect (QSHE) is a paradigmatic example of…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Luis Alberto Razo López , Pierre Wulles , Geoffroy J. Aubry , Sergey E. Skipetrov , Fabrice Mortessagne

We present a mean field theory of composite fermion edge channel transport in the fractional and integer quantum Hall regimes. An expression relating the electro-chemical potentials of composite fermions at the edges of a sample to those of…

Condensed Matter · Physics 2009-10-28 George Kirczenow , Brad L. Johnson

We report transport measurements on a semiconductor quantum dot with a small number of confined electrons. In the Coulomb blockade regime, conduction is dominated by cotunneling processes. These can be either elastic or inelastic, depending…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. De Franceschi , S. Sasaki , J. M. Elzerman , W. G. van der Wiel , S. Tarucha , L. P. Kouwenhoven

We present a systematical experimental investigation of an unusual transport phenomenon observed in two dimensional electron gases in Si/SiGe heterostructures under integer quantum Hall effect (IQHE) conditions. This phenomenon emerges…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. Sailer , A. Wild , V. Lang , A. Siddiki , D. Bougeard

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

Recent advances in the spectroscopy of biomolecules have highlighted the possibility of quantum coherence playing an active role in biological energy transport. The revelation that quantum coherence can survive in the hot and wet…

Quantum Physics · Physics 2012-06-12 Ross Dorner , John Goold , Vlatko Vedral

A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

Many-body effects on tunneling of electrons in semiconductor nanowhiskers are investigated in a magnetic quantum limit. We consider the system with which bulk and edge states coexist. We show that interaction parameters of edge states are…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Toshihiro Kubo , Yasuhiro Tokura

Dynamics of neutral modes for fractional quantum Hall states is investigated for a quantum point contact geometry in the weak-backscattering regime. The effective field theory introduced by Fradkin-Lopez for edge states in the Jain sequence…

Strongly Correlated Electrons · Physics 2010-01-19 Dario Ferraro , Alessandro Braggio , Nicodemo Magnoli , Maura Sassetti

Quantum Hall effects offer a formidable playground for the investigation of quantum transport phenomena. Edge modes can be detected, branched, and mixed by designing a suitable potential landscape in a two-dimensional conducting system…

This paper investigates the dynamics of current and quantum transport factor in a bosonic system consisting of a central system interacting with two reservoirs at different temperatures. We derive a master equation describing the time…

Quantum Physics · Physics 2025-01-06 Jayarshi Bhattacharya , Sunandan Gangopadhyay , Gautam Gangopadhyay

An indirect exciton is a bound state of an electron and a hole in spatially separated layers. Two-dimensional indirect excitons can be created optically in heterostructures containing double quantum wells or atomically thin semiconductors.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Chao Xu , J. R. Leonard , C. J. Dorow , L. V. Butov , M. M. Fogler , D. E. Nikonov , I. A. Young

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

This paper reviews recent studies of mesoscopic fluctuations in transport through ballistic quantum dots, emphasizing differences between conduction through open dots and tunneling through nearly isolated dots. Both the open dots and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 C. M. Marcus , S. R. Patel , A. G. Huibers , S. M. Cronenwett , M. Switkes , I. H. Chan , R. M. Clarke , J. A. Folk , S. F. Godijn , K. Campman , A. C. Gossard
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