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The electrons in the edge channels of two-dimensional topological insulators can be described as a helical Tomonaga-Luttinger liquid. They couple to nuclear spins embedded in the host materials through the hyperfine interaction, and are…

Mesoscale and Nanoscale Physics · Physics 2018-03-30 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

In this paper, we address the question of stability of protected chiral modes (e.g., helical edge states at the boundary of two-dimensional topological insulators) upon interactions with the external bath. Namely, we study how…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Andrey A. Bagrov , Francisco Guinea , Mikhail I. Katsnelson

We theoretically investigate the Coulomb drag between the edge states of two quantum spin Hall systems. Using an interacting theory of the one-dimensional helical edge modes, we show that the drag vanishes at second order in the inter-edge…

Strongly Correlated Electrons · Physics 2010-09-29 Vladimir A. Zyuzin , Gregory A. Fiete

We explore the phases exhibited by an interacting quantum spin Hall edge state in the presence of finite chemical potential (applied gate voltage) and spin imbalance (applied magnetic field). We find that the helical nature of the edge…

Strongly Correlated Electrons · Physics 2015-06-03 Qinglei Meng , Taylor L. Hughes , Matthew J. Gilbert , Smitha Vishveshwara

By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. V. Mkhitaryan , V. Kagalovsky , M. E. Raikh

The edge states of the quantum Hall and fractional quantum Hall effect of a two-dimensional electron gas provide key access to the excitations of the bulk. Here we demonstrate controlled transmission of edge states in bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing Li , Hua Wen , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

In this work, we theoretically investigate the light-induced topological phases and finite-size crossovers in a paradigmatic quantum spin Hall (QSH) system with high-frequency pumping optics. Taking the HgTe quantum well for an example, our…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 Fang Qin , Ching Hua Lee , Rui Chen

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

We theoretically study the effect of electron-electron interactions in one-dimensional partially mixed helical states. These helical states can be realized at the edges of two-dimensional topological insulators with partially broken…

Strongly Correlated Electrons · Physics 2025-01-03 Zeinab Bakhshipour , Mir Vahid Hosseini

We analyze the dynamics of the helical edge modes of a quantum spin Hall state in the presence of a spatially non-uniform Rashba spin-orbit (SO) interaction. A randomly fluctuating Rashba SO coupling is found to open a scattering channel…

Mesoscale and Nanoscale Physics · Physics 2010-07-01 Anders Ström , Henrik Johannesson , G. I. Japaridze

The electrodynamical response of the edge of a compressible Quantum Hall system affects tunneling into the edge. Using the composite Fermi liquid theory, we derive an effective action for the edge modes interacting with tunneling charge.…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. V. Shytov , B. I. Halperin

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

We consider thermoelectric transport properties of the edge states of a two dimensional topological insulator in a double quantum point contact geometry coupled to two thermally biased reservoirs. Both spin-preserving and spin-flipping…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Flavio Ronetti , Luca Vannucci , Giacomo Dolcetto , Matteo Carrega , Maura Sassetti

A quantum Hall edge state provides a rich foundation to study electrons in 1-dimension (1d) but is limited to chiral propagation along a single direction. Here, we demonstrate a versatile platform to realize new 1d systems made by combining…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 J. D. Sanchez-Yamagishi , J. Y. Luo , A. F. Young , B. Hunt , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 N. Kainaris , I. V. Gornyi , S. T. Carr , A. D. Mirlin

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

We study the thermoelectric response of a device containing a pair of helical edge states contacted at the same temperature $T$ and chemical potential $\mu$ and connected to an external reservoir, with different chemical potential and…

Strongly Correlated Electrons · Physics 2018-11-28 P. Roura-Bas , Liliana. Arrachea , Eduardo Fradkin

The manipulation of the helical edge states of two-dimensional topological insulators is crucial for the development of technological applications. Recently, an important step forward, namely, the experimental realization of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 C. Fleckenstein , N. Traverso Ziani , L. Privitera , M. Sassetti , B. Trauzettel

Numerous experimental and theoretical studies have focused on low-dimensional systems locally perturbed by the biased tip of a scanning force microscope. In all cases either open or closed weakly gate-tunable nanostructures have been…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 A. A. Kozikov , D. Weinmann , C. Rossler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We study current carrying helical edge states in a two-dimensional topological insulator coupled to an environment of localized spins, i.e. a spin bath. The localized spins mediate elastic spin-flip scattering between the helical edge…

Mesoscale and Nanoscale Physics · Physics 2012-07-12 Anders Mathias Lunde , Gloria Platero
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