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In this Letter we present an exact calculation of the effective potential which appears on a helicoidal strip. This potential leads to the appearance of lcalized states at a distance \xi_0 from the central axis. The twist \omega of the…

Mathematical Physics · Physics 2009-11-10 R. Dandoloff , T. T. Truong

We use the self-consistent Hartree-Fock approximation for numerically addressing the integer quantum Hall (IQH) regime in terms of many-body physics at higher Landau levels (LL). The results exhibit a strong tendency to avoid the…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Josef Oswald , Rudolf A Römer

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

Condensed Matter · Physics 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

The electronic circulator, and its close relative the gyrator, are invaluable tools for noise management and signal routing in the current generation of low-temperature microwave systems for the implementation of new quantum technologies.…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 Giovanni Viola , David P. DiVincenzo

The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

We proposed a theory of quantum anomalous Hall effect in a flat-band ferromagnet on a two-dimensional (2D) decorated lattice with spin-orbit coupling. Free electrons on the lattice have dispersionless flat bands, and the ground state is…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 An Zhao , Shun-Qing Shen

The low-temperature magnetoresistance of parabolic quantum wells displays pronounced minima between integer filling factors. Concomitantly the Hall effect exhibits overshoots and plateau-like features next to well-defined ordinary quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Ellenberger , B. Simovic , R. Leturcq , T. Ihn , S. E. Ulloa , K. Ensslin , D. C. Driscoll , A. C. Gossard

We combine the ideas of intensity interferometry, polarization optics and Bell's measurement into an experimental proposal which is hosted in a $\nu\,$=$\,2$ quantum Hall (QH) edge state. Our interferometer comprises of a single gate, that…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Krishanu Roychowdhury , Disha Wadhawan , Poonam Mehta , Biswajit Karmakar , Sourin Das

We study anisotropic stripe models of interacting electrons in the presence of magnetic fields in the quantum Hall regime with integer and fractional filling factors. The model consists of an infinite strip of finite width that contains…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 Jelena Klinovaja , Daniel Loss

We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors. Intriguing transport properties are exhibited when strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , E. Shimshoni

The effective interaction between charged colloidal particles confined between two planar like-charged walls is investigated using computer simulations of the primitive model describing asymmetric electrolytes. In detail, we calculate the…

Soft Condensed Matter · Physics 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

This paper investigates interface modes in a square lattice of photonic crystal composed of gyromagnetic particles with $C_{4v}$ point group symmetry. The study shows that Dirac or linear degenerate points cannot occur at the three…

Mathematical Physics · Physics 2024-11-13 Jiayu Qiu , Hai Zhang

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

We study a two-dimensional electron system in the presence of spin-orbit interaction. It is shown analytically that the spin-orbit interaction acts as a transversal effective electric field, whose orientation depends on the sign of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Manuel Valin-Rodriguez

Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite…

We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matilde Marcolli , Varghese Mathai

Using an innovative combination of a quasi-Corbino sample geometry and the cross-gate technique, we have developed a method that enables us to separately contact single edge channels in the quantum Hall regime and investigate equilibration…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Wuertz , R. Wildfeuer , A. Lorke , E. V. Deviatov , V. T. Dolgopolov