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We describe a quantum information processor (quantum computer) based on the hyperfine interactions between the conduction electrons and nuclear spins embedded in a two-dimensional electron system in the quantum-Hall regime. Nuclear spins…

Quantum Physics · Physics 2014-11-18 V. Privman , I. D. Vagner , G. Kventsel

We discuss a technique and a material system that enable the controlled realization of quantum entanglement between spin-wave modes of electron ensembles in two spatially separated pieces of semiconductor material. The approach uses…

Mesoscale and Nanoscale Physics · Physics 2009-10-12 C. H. van der Wal , M. Sladkov

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

Using a method of characterizing entanglement in the framework of quantum field theory, we investigate the optical generation and quantitative characterizations of quantum entanglement in an electron-hole system, in presence of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yu Shi

We present the microscopic treatment of edge magnetoplasmons (EMPs) for the regime of not-too-low temperatures defined by the condition $\hbar \omega_{c}\gg k_{B}T\gg \hbar v_{g}/2\ell_{0}$, where $v_{g}$ is the group velocity of the edge…

Mesoscale and Nanoscale Physics · Physics 2010-05-25 Sanderson Silva , Oleg G. Balev

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

We study equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

Strongly Correlated Electrons · Physics 2011-09-23 D. L. Kovrizhin , J. T. Chalker

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

We consider the helical edge state of a Quantum Spin Hall insulator, connected between two leads, and irradiated by a monochromatic and circularly polarized electromagnetic wave. The photocurrent generated within the helical edge state is…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Jonathan Atteia , Jérôme Cayssol

Trapping electrons in quantum dots and controlling their collective quantum states is crucial for converting semiconductor structures into bits of quantum information processing. Here, we study single- and two-particle states in quantum…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Angelika Knothe , Vladimir Fal'ko

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

We investigate the edge state of a two-dimensional topological insulator based on the Kane-Mele model. Using complex wave numbers of the Bloch wave function, we derive an analytical expression for the edge state localized near the edge of a…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Hyeonjin Doh , Gun Sang Jeon , Hyoung Joon Choi

The experiments in quantum spin Hall insulator candidate materials, such as HgTe/CdTe and InAs/GaSb heterostructures, indicate that in addition to the topologically protected helical edge modes these multilayer heterostructures may also…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Nguyen Minh Nguyen , Giuseppe Cuono , Rajibul Islam , Carmine Autieri , Timo Hyart , Wojciech Brzezicki

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized,…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Emil Prodan

The edge states of a quantum spin Hall insulator exhibit helical properties, which has generated significant interest in the field of spintronics. Although it is predicted theoretically that Rashba spin-orbit coupling can effectively…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Wei Luo , Yating Zhang , Wei Chen

We present theory and calculations for coherent high-fidelity quantum control of many-particle states in semiconductor quantum wells. We show that coupling a two-electron double quantum dot to a terahertz optical source enables targeted…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 E. Rasanen , T. Blasi , M. F. Borunda , E. J. Heller

The presence of edges locally breaks the inversion symmetry of heterostructures and gives rise to lateral (edge) spin-orbit coupling (SOC), which, under some conditions, can lead to the formation of helical edge states. If the edge SOC is…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 A. Matos-Abiague

We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region acts on the entanglement degrees of freedom at the boundary,…

Strongly Correlated Electrons · Physics 2014-01-28 S. Yang , L. Lehman , D. Poilblanc , K. Van Acoleyen , F. Verstraete , J. I. Cirac , N. Schuch

We describe how quantum information may be transferred from photon polarization to electron spin in a semiconductor device. The transfer of quantum information relies on selection rules for optical transitions, such that two superposed…

Quantum Physics · Physics 2009-11-06 Rutger Vrijen , Eli Yablonovitch

We study the low energy edge states of bilayer graphene in a strong perpendicular magnetic field. Several possible simple boundaries geometries related to zigzag edges are considered. Tight-binding calculations reveal three types of edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Victoria Mazo , Efrat Shimshoni , Herbert A. Fertig