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The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also…

Strongly Correlated Electrons · Physics 2014-09-16 Shou-Shu Gong , Wei Zhu , D. N. Sheng

Using low-temperature scanning tunneling spectroscopy applied to the Cs-induced two-dimensional electron system (2DES) on p-type InSb(110), we probe electron-electron interaction effects in the quantum Hall regime. The 2DES is decoupled…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 S. Becker , C. Karrasch , T. Mashoff , M. Pratzer , M. Liebmann , V. Meden , M. Morgenstern

Chiral spin liquid (CSL) is a magnetic analogue of the fractional quantum Hall (FQH) liquid. Collective excitations play a vital role in shaping our understanding of these exotic quantum phases of matter and their quantum phase transitions.…

Strongly Correlated Electrons · Physics 2026-05-14 Hongyu Lu , Wei Zhu , Wang Yao

We develop the microscopic theory of the extrinsic spin Hall conductivity of a two-dimensional electron gas, including skew-scattering, side-jump, and Coulomb interaction effects. We find that while the spin-Hall conductivity connected with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Giovanni Vignale

We study theoretically the two interacting one-dimensional helical modes at the edges of the quantum spin Hall systems. A new type of inter-edge correlated liquid (IECL) without the spin gap is found. This liquid shows the diverging density…

Superconductivity · Physics 2015-05-13 Yukio Tanaka , Naoto Nagaosa

The double fractional quantum Hall system of spin 1/2 electrons is numerically studied to predict that there exists a novel spin-unpolarized quantum liquid specific to the multi-species system, which exemplifies a link between the spin…

Condensed Matter · Physics 2009-10-22 T. Nakajima , H. Aoki

In this review, we describe in detail two important spin-transport phenomena: the extrinsic spin-Hall effect (coming from spin-orbit interactions between electrons and impurities) and the spin-Coulomb drag. The interplay of these two…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. M. Hankiewicz , G. Vignale

Recent claims of an experimental demonstration of spontaneous spin polarisation in dilute electron gases \cite{young99} revived long standing theoretical discussions \cite{ceper99,bloch}. In two dimensions, the stabilisation of a…

Materials Science · Physics 2009-11-11 P. Giudici , A. R. Goñi , P. G. Bolcatto , C. R. Proetto , K. Eberl , M. Hauser , C. Thomsen

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

We review some of the newest findings on the spin dynamics of carriers and excitons in GaAs/GaAlAs quantum wells. In intrinsic wells, where the optical properties are dominated by excitonic effects, we show that exciton-exciton interaction…

Materials Science · Physics 2009-10-31 L. Vina

The phenomenon of mesoscopic Spin-Hall effect reveals in a nonequilibrium spin accumulation (driven by electric current) at the edges of a ballistic conductor or, more generally, in the regions with varying electron density. In this paper…

Mesoscale and Nanoscale Physics · Physics 2009-12-24 P. G. Silvestrov , E. G. Mishchenko

Two-dimensional semiconductor quantum dots are studied in the the filling-factor range 2<v<3. We find both theoretical and experimental evidence of a collective many-body phenomenon, where a fraction of the trapped electrons form an…

Strongly Correlated Electrons · Physics 2008-05-08 E. Rasanen , H. Saarikoski , A. Harju , M. Ciorga , A. S. Sachrajda

The phenomenon of low-temperature spin Coulomb drag in a two-dimensional electron gas is investigated. The spin transresistivity coefficient is essentially enhanced in the diffusive regime, as compared to conventional predictions. The…

Strongly Correlated Electrons · Physics 2016-02-12 A. G. Yashenkin , I. V. Gornyi

This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called "Gauge Theory of States/Phases of Matter." The chiral anomaly, which plays quite a prominent role in that…

Strongly Correlated Electrons · Physics 2023-04-12 Jürg Fröhlich

We apply the methods of continuum mechanics to the study of the collective modes of the fractional quantum Hall liquid. Our main result is that at long wavelength there are {\it two} distinct modes of oscillations, while previous theories…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. V. Tokatly , G. Vignale

In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yafis Barlas , Kun Yang , A. H. MacDonald

The properties of a two-dimensional (2D) electron system can be drastically altered by a magnetic field applied perpendicular to the 2D plane. In particular, the frequency of its bulk collective excitations becomes gaped at the cyclotron…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 I. Kostylev , M. Hatifi , D. Konstantinov , A. D Chepelianskii

We report inelastic light scattering measurements of dispersive spin and charge density excitations in dilute 2D electron systems reaching densities less than 10^{10} cm^{-2}. In the quantum Hall state at nu=2, roton critical points in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. Eriksson , A. Pinczuk , B. S. Dennis , S. H. Simon , L. N. Pfeiffer , K. W. West

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

Spin-orbit interactions in two-dimensional electron liquids are responsible for many interesting transport phenomena in which particle currents are converted to spin polarizations and spin currents and viceversa. Prime examples are the spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 K. Shen , R. Raimondi , G. Vignale
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