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Topological electric quadrupole is a recently proposed concept that extends the theory of electric polarization of crystals to higher orders. Such a quadrupole phase supports topological states localized on both edges and corners. In this…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Feng Liu , Hai-Yao Deng , Katsunori Wakabayashi

While the helical character of the edge channels responsible for charge transport in the quantum spin Hall regime of a two-dimensional topological insulator is by now well established, an experimental confirmation that the transport in the…

We develop a theory for energy and spatially resolved tunneling spectroscopy of topological quantum spin Hall helical states driven out of equilibrium. When a helical liquid is constrained between two superconducting reservoirs transport at…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Stanislav S. Apostolov , Alex Levchenko

Topological insulators are unique devices supporting unidirectional edge states at their interfaces. Due to topological protection, such edge states persist in the presence of disorder and do not experience backscattering upon interaction…

We consider the effects of electron scattering off a quantum magnetic impurity on the current-voltage characteristics of the helical edge of a two-dimensional topological insulator. We compute the backscattering contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 P. D. Kurilovich , V. D. Kurilovich , I. S. Burmistrov , M. Goldstein

We consider two coupled time reversal invariant helical edge modes of the same helicity, such as would occur on two stacked quantum spin Hall insulators. In the presence of interaction, the low energy physics is described by two collective…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Raul A. Santos , D. B. Gutman , Sam T. Carr

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

We study the localization-driven correlated states among two isolated dirty interacting helical edges as realized at the boundaries of two-dimensional $\mathbb{Z}_2$ topological insulators. We show that an interplay of time-reversal…

Strongly Correlated Electrons · Physics 2019-01-15 Yang-Zhi Chou

We report on the dynamic nuclear polarization of a single charge-tunable self-assembled InAs/GaAs quantum dot in a longitudinal magnetic field of $\sim$0.2T. The hyperfine interaction between the optically oriented electron and nuclei spins…

In crystalline systems, charge polarization is related to Zak's phase determined by bulk band topology. Nontrivial charge polarization induces robust edge states accompanied with fractional charge. In Su-Schrieffer-Heeger (SSH) model, it is…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Tomoaki Kameda , Feng Liu , Sudipta Dutta , Katsunori Wakabayashi

A strip of 2D HgTe topological insulator is studied. The same-spin edge states in ideal system propagate in opposite directions on different sides of the strip and do not mix by tunneling. Impurities, edge irregularities, and phonons…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 M. V. Entin , L. I. Magarill

We study the hyperfine interaction between the nuclear spins and the electrons in a HgTe quantum well, which is the prime experimentally realized example of a two-dimensional topological insulator. The hyperfine interaction is a naturally…

Mesoscale and Nanoscale Physics · Physics 2013-09-06 Anders Mathias Lunde , Gloria Platero

A Kramers pair of helical edge states in quantum spin Hall effect (QSHE) is robust against normal dephasing but not robust to spin dephasing. In our work, we provide an effective spin dephasing mechanism in the puddles of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Junjie Qi , Haiwen Liu , Hua Jiang , X. C. Xie

Spatially nonhomogeneously spin polarized nuclei are proposed as a new mechanism to monitor electron states in a nanostructure, or as a means to createn and, if necessary, reshape such nanostructures in the course of the experiment. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. Fleurov , V. A. Ivanov , F. M. Peeters , I. D. Vagner

Three-dimensional topological insulators protected by both the time reversal (TR) and mirror symmetries were recently predicted and observed. Two-dimensional materials featuring this property and their potential for device applications have…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Carlos Mera Acosta , Adalberto Fazzio

In the presence of extrinsic Rashba spin-orbit coupling, we find that silicene can host a new quantum anomalous Hall state with spin- and valley-polarized edge states, which can be effectively controlled by the exchange field and electric…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Zhiming Yu , Hui Pan , Yugui Yao

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

We develop a theory of electron-photon interaction for helical edge channels in two-dimensional topological insulators based on zinc-blende-type quantum wells. It is shown that the lack of space inversion symmetry in such structures enables…

Mesoscale and Nanoscale Physics · Physics 2019-01-15 M. V. Durnev , S. A. Tarasenko

We prove that curvature effects in low-dimensional nanomaterials can promote the generation of topological states of matter by considering the paradigmatic example of quantum wires with Rashba spin-orbit coupling, which are periodically…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Paola Gentile , Mario Cuoco , Carmine Ortix