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We propose the existence and study the solitonic excitations in two kinds of samples in the fractional quantum Hall regime. One is a strip modulated by a one-dimensional array of gates. The other is made of two parallel strips coupled by a…

Condensed Matter · Physics 2009-10-28 Eshel Ben-Jacob , Francisco Guinea , Ziv Hermon , Alexander Shnirman

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

When an electron with well-defined momentum tunnels into a nonchiral Luttinger liquid, it breaks up into two separate wave packets that carry fractional charges and move in opposite directions. A direct observation of this phenomenon has…

Mesoscale and Nanoscale Physics · Physics 2012-05-31 Ion Garate , Karyn Le Hur

We evaluate the spin density oscillations arising in quantum spin Hall quantum dots created via two localized magnetic barriers. The combined presence of magnetic barriers and spin-momentum locking, the hallmark of topological insulators,…

Mesoscale and Nanoscale Physics · Physics 2013-06-24 Giacomo Dolcetto , Niccolò Traverso Ziani , Matteo Biggio , Fabio Cavaliere , Maura Sassetti

Pseudospin solitons in double-layer quantum Hall systems can be introduced by a magnetic field component coplanar with the electrons and can be pinned by applying voltages to external gates. We estimate the temperature below which depinning…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jordan Kyriakidis , Daniel Loss , A. H. MacDonald

Vortices carrying fractions of a flux quantum are predicted to exist in multiband superconductors, where vortex core can split between multiple band-specific components of the superconducting condensate. Using the two-component…

Superconductivity · Physics 2015-07-22 R. M. da Silva , M. V. Milošević , D. Domínguez , F. M. Peeters , J. Albino Aguiar

We propose realistic methods to detect local spin polarization, which utilize a quantum dot side coupled to the target system. By choosing appropriate states in the dot, we can put spin selectivity to the dot and detect spins in the target…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Tomohiro Otsuka , Eisuke Abe , Yasuhiro Iye , Shingo Katsumoto

A model system is considered where two dimensional electrons are confined by a harmonic potential in one direction, and are free in the other direction. Ground state in strong magnetic fields is investigated through numerical…

Condensed Matter · Physics 2009-10-22 Daijiro Yoshioka

We propose ways to create and detect fractionally charged excitations in \emph{integer} quantum Hall edge states. The charge fractionalization occurs due to the Coulomb interaction between electrons propagating on different edge channels.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. Berg , Y. Oreg , E. -A. Kim , F. von Oppen

Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting…

Strongly Correlated Electrons · Physics 2013-09-04 Armin Rahmani , Rodrigo A. Muniz , Ivar Martin

The experimental characterization of quantum spin liquids poses significant challenges due to the absence of long-range magnetic order, even at absolute zero temperature. The identification of these states of matter often relies on the…

Strongly Correlated Electrons · Physics 2024-01-23 Valerio Peri , Shahal Ilani , Patrick A. Lee , Gil Refael

The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

We report a simple route to generate magnetotransport data that results in fractional quantum Hall plateaus in the conductance. Ingredients to the generating model are conducting tiles with integer quantum Hall effect and metallic linkers,…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 Ferdinand Kisslinger , Dennis Rienmüller , Christian Ott , Erik Kampert , Heiko B. Weber

Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Flavio Ronetti , Luca Vannucci , Dario Ferraro , Thibaut Jonckheere , Jérôme Rech , Thierry Martin , Maura Sassetti

Realizing strongly-correlated topological phases of ultracold gases is a central goal for ongoing experiments. And while fractional quantum Hall states could soon be implemented in small atomic ensembles, detecting their signatures in…

Quantum Gases · Physics 2020-12-21 C. Repellin , J. Léonard , N. Goldman

Spin-helical states, which arise in quasi-one-dimensional (1D) channels with spin-orbital (SO) coupling, underpin efforts to realize topologically-protected quantum bits based on Majorana modes in semiconductor nanowires. Detecting helical…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Zedong Yang , Paul A. Crowell , Vlad S. Pribiag

A profound manifestation of topologically non-trivial states of matter is the occurrence of fractionally charged elementary excitations. The quantum spin Hall insulator state is a fundamentally novel quantum state of matter that exists at…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

Great efforts are currently devoted to the engineering of topological Bloch bands in ultracold atomic gases. Recent achievements in this direction, together with the possibility of tuning inter-particle interactions, suggest that…

Quantum Gases · Physics 2019-05-01 Cécile Repellin , Nathan Goldman

We study the magneto-conductance of a $1.4~\mathrm{\mu m}$-wide quantum dot in the fractional quantum Hall regime. For a filling factor $\approx 2/3$ and $\gtrsim 1/3$ in the quantum dot the observed Coulomb resonances show a periodic…

We introduce a system of propagation equations for the fundamental-frequency (FF) and second-harmonic (SH) waves in the bulk waveguide with the effective fractional diffraction and quadratic (chi ^(2)) nonlinearity. The numerical solution…

Pattern Formation and Solitons · Physics 2024-06-03 Hidetsugu Sakaguchi , Boris A. Malomed
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