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How do we uniquely identify a quantum phase, given its ground state wave-function? This is a key question for many body theory especially when we consider phases like topological insulators, that share the same symmetry but differ at the…

Strongly Correlated Electrons · Physics 2011-01-07 Ari M. Turner , Yi Zhang , Ashvin Vishwanath

We report direct imaging of standing waves of the nontrivial surface states of topological insulator Bi$_2$Te$_3$ by using a low temperature scanning tunneling microscope. The interference fringes are caused by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tong Zhang , Peng Cheng , Xi Chen , Jin-Feng Jia , Xucun Ma , Ke He , Lili Wang , Haijun Zhang , Xi Dai , Zhong Fang , Xincheng Xie , Qi-Kun Xue

Despite topological protection and the absence of magnetic impurities, two-dimensional topological insulators display quantized conductance only in surprisingly short channels, which can be as short as 100 nm for atomically thin materials.…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Pietro Novelli , Fabio Taddei , Andre K. Geim , Marco Polini

Low-dimensional electronic systems have traditionally been obtained by electrostatically confining electrons, either in heterostructures or in intrinsically nanoscale materials such as single molecules, nanowires, and graphene. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 A. F. Young , J. D. Sanchez-Yamagishi , B. Hunt , S. H. Choi , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films,…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Qi Yao , Yuchen Ji , Peng Chen , Qing-Lin He , Xufeng Kou

We present a comprehensive theoretical study of the static spin response in HgTe quantum wells, revealing distinctive behavior for the topologically nontrivial inverted structure. Most strikingly, the q=0 (long-wave-length) spin…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. Kernreiter , M. Governale , U. Zülicke , E. M. Hankiewicz

It is often thought that emergent phenomena in topological phases of matter are destroyed when tuning to a critical point. In particular, topologically protected edge states supposedly delocalize when the bulk correlation length diverges.…

Strongly Correlated Electrons · Physics 2020-03-13 Ruben Verresen

It is well known that the 3D electronic topological insulator (TI) with charge-conservation and time-reversal symmetry cannot have a trivial insulating surface that preserves symmetry. It is often implicitly assumed that if the TI surface…

Strongly Correlated Electrons · Physics 2014-05-20 Chong Wang , Andrew C. Potter , T. Senthil

We investigate the entanglement spectra of topological insulators which manifest edge states on a lattice with spatial boundaries. In the physical energy spectrum, a subset of the edge states that intersect the Fermi level translates to…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 A. Alexandradinata , Taylor L. Hughes , B. Andrei Bernevig

Topologically-protected edge states are dissipationless conducting surface states immune to impurity scattering and geometrical defects that occur in electronic systems characterized by a bulk insulating gap. One example can be found in a…

We theoretically investigate the exchange interaction between magnetic impurities in ultrathin Bi$_2$Se$_3$ topological insulator films by taking into account the low-energy states produced by the impurities. We find that the locally…

Materials Science · Physics 2020-12-30 Mahroo Shiranzaei , Jonas Fransson , Annica M. Black-Schaffer , Fariborz Parhizgar

We show that the energy gap induced by ferromagnetically aligned magnetic impurities on the surface of a topological insulator can be filled, due to scattering off the non-magnetic potential of the impurities. In both a continuum surface…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. M. Black-Schaffer , A. V. Balatsky , J. Fransson

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

The study of the propagation of electrons with a varying spinor orientability is performed using the coordinate transformation method. Topological Insulators are characterized by an odd number of changes of the orientability in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 D. Schmeltzer

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic…

Strongly Correlated Electrons · Physics 2013-05-29 Brian Swingle , Maissam Barkeshli , John McGreevy , T. Senthil

We present a series of models of three-dimensional rotation-symmetric fragile topological insulators in class AI (time-reversal symmetric and spin-orbit-free systems), which have gapless surface states protected by time-reversal ($T$) and…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Shingo Kobayashi , Akira Furusaki

A two-dimensional superconductor (SC) on surfaces of topological insulators (TIs) is a mixture of s-wave and helical p-wave components when induced by s-wave interactions, since spin and momentum are correlated. On the basis of the…

Superconductivity · Physics 2015-06-05 Yuto Ito , Youhei Yamaji , Masatoshi Imada

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

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…

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