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Related papers: Glide-resolved photoemission spectroscopy: Measuri…

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It is known that three-dimensional magnetic systems with glide symmetry can be characterized by a $Z_2$ topological invariant together with the Chern number associated with the normal vector of the glide plane, and they are expressed in…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Heejae Kim , Ken Shiozaki , Shuichi Murakami

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

We perform spin-resolved and spin-integrated angle-resolved photoemission spectroscopy measurements on a series of compositions in the BiTl(S1-xSex)2 system, focusing on x-values in the vicinity of the critical point for the topological…

Strongly Correlated Electrons · Physics 2012-05-01 Su-Yang Xu , M. Neupane , Chang Liu , S. Jia , L. A. Wray , G. Landolt , B. Slomski , J. H. Dil , N. Alidoust , S. Basak , H. Lin , J. Osterwalder , A. Bansil , R. J. Cava , M. Z. Hasan

The ground state of translationally-invariant insulators comprise bands which can assume topologically distinct structures. There are few known examples where this distinction is enforced by a point-group symmetry alone. In this paper we…

Strongly Correlated Electrons · Physics 2014-04-15 A. Alexandradinata , Xi Dai , B. Andrei Bernevig

Quantum spin Hall insulators, or synonymously known as 2D topological insulators, are crucial 2D systems hosting topologically protected edge states. The working temperature of this topological quantum phase is dictated by the inverted…

Topological classification in our previous paper [K. Shiozaki and M. Sato, Phys. Rev. B ${\bf 90}$, 165114 (2014)] is extended to nonsymmorphic crystalline insulators and superconductors. Using the twisted equivariant $K$-theory, we…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Ken Shiozaki , Masatoshi Sato , Kiyonori Gomi

Topological phases of matter are classified based on symmetries, with nonsymmorphic symmetries like glide reflections and screw rotations being of particular importance in the classification. In contrast to extensively studied glide…

Mesoscale and Nanoscale Physics · Physics 2024-04-29 Yu-Liang Tao , Mou Yan , Mian Peng , Qiang Wei , Zhenxing Cui , Shengyuan A. Yang , Gang Chen , Yong Xu

In this work we consider whether nonsymmorphic symmetries such as a glide plane can protect the existence of topological crystalline insulators and superconductors in three dimensions. In analogy to time-reversal symmetric insulators, we…

Strongly Correlated Electrons · Physics 2015-11-11 Daniel Varjas , Fernando de Juan , Yuan-Ming Lu

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 lecture for the Nobel symposium, we review previous research on a class of translational-invariant insulators without spin-orbit coupling. These may be realized in intrinsically spinless systems such as photonic crystals and…

Strongly Correlated Electrons · Physics 2014-11-14 A. Alexandradinata , B. Andrei Bernevig

We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 A. Alexandradinata , Zhijun Wang , B. Andrei Bernevig

We systematically study topological phases of insulators and superconductors (SCs) in 3D. We find that there exist 3D topologically non-trivial insulators or SCs in 5 out of 10 symmetry classes introduced by Altland and Zirnbauer within the…

Mesoscale and Nanoscale Physics · Physics 2009-06-15 Andreas P. Schnyder , Shinsei Ryu , Akira Furusaki , Andreas W. W. Ludwig

Topological insulators are characterized by Dirac cone surface states with electron spins aligned in the surface plane and perpendicular to their momenta. Recent theoretical and experimental work implied that this specific spin texture…

We proposed a group-theory method to calculate topological invariant in bi-isotropic photonic crystals invariant under crystallographic point group symmetries. Spin Chern number has been evaluated by the eigenvalues of rotation operators at…

Optics · Physics 2016-02-11 Xiao-Dong Chen , Zi-Lan Deng , Wen-Jie Chen , Jia-Rong Wang , Jian-Wen Dong

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

Photonic platforms invariant under parity ($\mathcal{P}$), time-reversal ($\mathcal{T}$), and duality ($\mathcal{D}$) can support topological phases analogous to those found in time-reversal invariant ${\mathbb{Z}_2}$ electronic systems…

We visualize the topological ladder and band inversions in PtTe$_2$ using spin-polarized photoemission spectroscopy augmented by three-dimensional momentum imaging. This approach enables the detection of spin polarization in dispersive…

We present a comprehensive theory on the spin- and angle-resolved photoemission spectroscopy (SARPES) of materials with glide-mirror symmetry, focusing on the role of glide symmetry on the spin selection rule. In the glide-symmetric SARPES…

Materials Science · Physics 2018-12-06 Ji Hoon Ryoo , Cheol-Hwan Park

The prediction of non-trivial topological phases in Bloch insulators in three dimensions has recently been experimentally verified. Here, I provide a picture for obtaining the $Z_{2}$ invariants for a three dimensional topological insulator…

Other Condensed Matter · Physics 2010-04-21 Rahul Roy

We report on time-resolved ultrafast optical spectroscopy study of the topological insulator (TI) Bi$_2$Se$_3$. We unravel that a net spin polarization can not only be generated using circularly polarized light via interband transitions…

Materials Science · Physics 2016-01-26 M. C. Wang , S. Qiao , Z. Jiang , S. N. Luo , J. Qi
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