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We study spinless electrons in a single channel quantum wire interacting through attractive interaction, and the quantum Hall states that may be constructed by an array of such wires. For a single wire the electrons may form two phases, the…

Strongly Correlated Electrons · Physics 2017-07-26 Charles L. Kane , Ady Stern , Bertrand I. Halperin

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers at the edge…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Daijiro Yoshioka

An interaction of non-uniform plane elastic modes of the waveguide type with monolayer and double-layer quantum Hall systems is considered. It is shown, that unlike the case of the surface acoustic wave propagation, the restriction on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Fil

We address the electronic structure of quantum wells in polar-nonpolar oxide heterojunction systems focusing on the case of non-polar BaVO$_3$ wells surrounded by polar LaTiO$_3$ barriers. Our discussion is based on a density functional…

Strongly Correlated Electrons · Physics 2009-11-13 C. -C Joseph Wang , Bhagawan Sahu , Hongki Min , Wei-Cheng Lee , Allan H. MacDonald

A two dimensional array of Josephson junctions in a magnetic field is considered. It is shown that the dynamics of the vortices in the array resembles that of electrons on a two--dimensional lattice put in a magnetic field perpendicular to…

Condensed Matter · Physics 2009-10-22 Ady Stern

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a…

High Energy Physics - Theory · Physics 2009-10-30 Rashmi Ray , Joan Soto

The fractional quantum Hall (FQH) effect provides a paradigmatic example of a topological phase of matter. FQH edges are theoretically described via models belonging to the class of chiral Luttinger liquid (CLL) theories [1 (Wen, 2007)].…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Noam Schiller , Tomer Alkalay , Changki Hong , Vladimir Umansky , Moty Heiblum , Yuval Oreg , Kyrylo Snizhko

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

We provide a systematic framework to investigate the magnetoplasmons of multilayer two-dimensional electron systems by using the Kac--Murdock--Szeg\H{o} (KMS) Toeplitz matrix to consider interlayer Coulomb interactions. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Jinu Park , Taehun Kim , E. H. Hwang , Hongki Min

We review recent investigations of the femtosecond non-linear optical response of the two-dimensional electron gas (2DEG) in a strong magnetic field. We probe the Quantum Hall (QH) regime for filling factors $\nu \sim 1$. Our focus is on…

Mesoscale and Nanoscale Physics · Physics 2008-08-05 K. M. Dani , E. G. Kavousanaki , J. Tignon , D. S. Chemla , I. E. Perakis

Using the network model representation, it is shown that the edge states of finite-size integral quantum Hall liquid can be regarded as the edge states of an SU$(2N)$ open antiferromagnetic quantum spin chain in the $N \rightarrow 0$ limit.…

Condensed Matter · Physics 2009-10-28 Yong Baek Kim

Magneto-luminescence studies in electron bilayers reveal the hallmarks of the even-denominator and other quantum Hall states in the intensities and energies of the inter-band optical recombination lines. In the presence of a small tunneling…

Mesoscale and Nanoscale Physics · Physics 2013-04-30 Ilirjan Aliaj , Vittorio Pellegrini , Andrea Gamucci , Biswajit Karmakar , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

We study the transconductance for two coupled one-dimensional wires or edge states described by Luttinger liquid models. The wires are assumed to interact over a finite segment. We find for the interaction parameter $g=1/2$ that the drag…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Karsten Flensberg

We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor $\nu=2$. Due to electron-electron interactions,…

Mesoscale and Nanoscale Physics · Physics 2018-07-23 Matteo Acciai , Matteo Carrega , Jérôme Rech , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

A general description of weak and strong tunneling fixed points is developed in the chiral-Luttinger-liquid model of quantum Hall edge states. Tunneling fixed points are a subset of `termination' fixed points, which describe boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Joel E. Moore , Xiao-Gang Wen

Among the predicted properties of fractional quantum Hall states are fractionally charged quasiparticles and conducting edge-states described as chiral Luttinger liquids. In a system with a narrow constriction, tunneling of quasi-particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Rosenow , B. I. Halperin

We derive a microscopic theory of the composite fermion type quasiparticles describing the low-lying edge excitations in the fractional quantum Hall liquid with $\nu=1/m$. Using the composite fermion transformation, one finds that the edge…

Condensed Matter · Physics 2018-01-17 Yue Yu , Zongyuan Zhu

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

Universal chiral Luttinger liquid behavior has been predicted for fractional quantum Hall edge states, but so far has not been observed experimentally in semiconductor-based two-dimensional electron gases. One likely cause of this absence…

Strongly Correlated Electrons · Physics 2011-12-02 Zi-Xiang Hu , R. N. Bhatt , Xin Wan , Kun Yang

In connection with recent studies of extremely long-living spin-cyclotron excitations (actually magneto-excitons) in a quantum Hall electron gas, we discuss contribution to the light-absorption related to the presence of a magneto-exciton…

Strongly Correlated Electrons · Physics 2018-10-11 S. Dickmann