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Related papers: An optimal topological spin pump

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We propose a one-dimensional electron model with parameters modulated adiabatically in closed cycles, which can continuously pump spin to leads. By defining the spin-polarized Wannier functions, we show that the spin pump is protected by…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 C. Q. Zhou , Y. F. Zhang , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

We study $S=1$ quantum spin systems on the infinite chain with short ranged Hamiltonians which have certain rotational and discrete symmetry. We define a $\mathbb{Z}_2$ index for any gapped unique ground state, and prove that it is…

Statistical Mechanics · Physics 2018-10-10 Hal Tasaki

The role of disorder in the field of three-dimensional time reversal invariant topological insulators has become an active field of research recently. However, the computation of Z2 invariants for large, disordered systems still poses a…

Mesoscale and Nanoscale Physics · Physics 2014-04-16 Björn Sbierski , Piet W. Brouwer

Based on the Floquet scattering theory, we analytically investigate the topological spin pumping for an exactly solvable model. Floquet spin Chern numbers are introduced to characterize the periodically time-dependent system. The…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 W. Y. Deng , W. Luo , H. Geng , M. N. Chen , L. Sheng , D. Y. Xing

We demonstrate the existence of topological insulators in one dimension protected by mirror and time-reversal symmetries. They are characterized by a nontrivial $\mathbb{Z}_2$ topological invariant defined in terms of the "partial"…

Mesoscale and Nanoscale Physics · Physics 2016-10-27 Alexander Lau , Jeroen van den Brink , Carmine Ortix

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liang Fu , C. L. Kane

The non-chiral edge excitations of quantum spin Hall systems and topological insulators are described by means of their partition function. The stability of topological phases protected by time-reversal symmetry is rediscussed in this…

Strongly Correlated Electrons · Physics 2015-06-17 Andrea Cappelli , Enrico Randellini

Topological quantum pumps are topologically equivalent to the quantum Hall state: In these systems, the charge pumped during each pumping cycle is quantized and coincides with the Chern invariant. However, differently from quantum Hall…

Quantum Gases · Physics 2017-11-22 Pasquale Marra , Roberta Citro

It has been known that an anti-unitary symmetry such as time-reversal or charge conjugation is needed to realize Z2 topological phases in non-interacting systems. Topological insulators and superconducting nanowires are representative…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Ken Shiozaki , Masatoshi Sato , Kiyonori Gomi

Topological insulators possess completely different spin-orbit coupled bulk and surface electronic spectra that are each predicted to exhibit exotic responses to light. Here we report time-resolved fundamental and second harmonic optical…

Mesoscale and Nanoscale Physics · Physics 2011-08-24 D. Hsieh , F. Mahmood , J. W. McIver , D. R. Gardner , Y. S. Lee , N. Gedik

In this work, we identify a new class of Z2 topological insulator protected by non-symmorphic crystalline symmetry, dubbed a "topological non-symmorphic crystalline insulator". We construct a concrete tight-binding model with the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Chao-Xing Liu , Rui-Xing Zhang

Quantized charge pumping in one-dimensional chiral wires has been widely studied in the context of topological physics in a (1+1)-dimensional synthetic space, yet the role of orbital and spin degrees of freedom in such topological pumps…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 Esmaeil Taghizadeh Sisakht , Uiseok Jeong , Xiao jiang , Jinseok Oh , Yizhou Liu , Binghai Yan , Noejung Park

Three-dimensional topological (crystalline) insulators are materials with an insulating bulk, but conducting surface states which are topologically protected by time-reversal (or spatial) symmetries. Here, we extend the notion of…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert

A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

In this paper we construct a simple, controllable, two dimensional model based on a topological band insulator. It has many attractive properties. (1) We obtain spin-charge separated solitons that are associated with $\pi$ fluxes. (2) It…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ying Ran , Ashvin Vishwanath , Dung-Hai Lee

Following the centuries old concept of the quantization of flux through a Gaussian curvature (Euler characteristic) and its successive dispersal into various condensed matter properties such as quantum Hall effect, and topological…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Tanmoy Das

We define a class of insulators with gapless surface states protected from localization due to the statistical properties of a disordered ensemble, namely due to the ensemble's invariance under a certain symmetry. We show that these…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 I. C. Fulga , B. van Heck , J. M. Edge , A. R. Akhmerov

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

We report a theoretical study of the quantized spin pump in a traditional two-parameter quantum pump device that is based on the helical edge states of a quantum spin Hall insulator. By introducing two time-dependent magnetizations out of…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 Mei-Juan Wang , J. Wang , Jun-Feng Liu

Topological insulators and giant spin-orbit toque switching of nanomagnets are one of the frontier topics for the development of energy-efficient spintronic devices. Spin-circuit representations involving different materials and phenomena…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 Kuntal Roy