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Topological states of quantum matter exhibit unique disorder-immune surface states protected by underlying nontrivial topological invariants of the bulk. Such immunity from backscattering makes topological surface or edge states ideal…

介观与纳米尺度物理 · 物理学 2015-11-09 S. Hossein Mousavi , Alexander B. Khanikaev , Zheng Wang

Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface)waves are…

应用物理 · 物理学 2021-04-28 Weijian Zhou , Weiqiu Chen , Michel Destrade , C. W. Lim

We propose a framework to realize helical edge states in phononic systems using two identical lattices with interlayer couplings between them. A methodology is presented to systematically transform a quantum mechanical lattice which…

介观与纳米尺度物理 · 物理学 2016-03-23 Raj Kumar Pal , Marshall Schaeffer , Massimo Ruzzene

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

超导电性 · 物理学 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

Topology is quickly becoming a cornerstone in our understanding of electronic systems. Like their electronic counterparts, bosonic systems can exhibit a topological band structure, but in real materials it is difficult to ascertain their…

强关联电子 · 物理学 2019-09-04 Daniel Malz , Johannes Knolle , Andreas Nunnenkamp

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…

介观与纳米尺度物理 · 物理学 2012-04-02 G. Tkachov , E. M. Hankiewicz

Helical edge modes are characteristic of topological insulators in two dimensions. This paper demonstrates that helical edge modes remain across transitions to ordinary insulators or to semimetals under certain condition. Straight and…

材料科学 · 物理学 2013-05-29 Shijun Mao , Yoshio Kuramoto

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

介观与纳米尺度物理 · 物理学 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

We investigate the emergence of anti-ferromagnetic ordering and its effect on the helical edge states in a quantum spin Hall insulator, in the presence of strong Coulomb interaction. Using dynamical mean-field theory, we show that the…

强关联电子 · 物理学 2018-08-01 A. Amaricci , A. Valli , G. Sangiovanni , B. Trauzettel , M. Capone

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

介观与纳米尺度物理 · 物理学 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

We realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates with square lattice. Changing the width…

经典物理 · 物理学 2019-09-04 Shao-yong Huo , Hong-bo Huang , Lu-yang Feng , Jiu-jiu Chen

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

介观与纳米尺度物理 · 物理学 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

Topologically protected gapless edge states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

介观与纳米尺度物理 · 物理学 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

强关联电子 · 物理学 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

The topological insulators have a gap in the bulk but extended states at the edge that can carry current. We study a geometry in which such edge states will manifest themselves through periodic oscillations in the magnetoconductance of a…

介观与纳米尺度物理 · 物理学 2009-09-19 Rui-Lin Chu , Jian Li , J. K. Jain , Shun-Qing Shen

Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written in many different ways, including in terms of Green's…

介观与纳米尺度物理 · 物理学 2011-09-29 Andrew M. Essin , Victor Gurarie

Topological defects, such as domain walls and vortices, have long fascinated physicists. A novel twist is added in quantum systems like the B-phase of superfluid helium He$_3$, where vortices are associated with low energy excitations in…

介观与纳米尺度物理 · 物理学 2009-04-02 Ying Ran , Yi Zhang , Ashvin Vishwanath

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt
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