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We show that spin-singlet $s$-wave multi-band superconductors have a topological phase protected by rotation symmetry and time-reversal symmetry without spin-orbit coupling in two and three dimensions. This topological phase, an example of…

Superconductivity · Physics 2024-10-08 Shingo Kobayashi , Akira Furusaki

We study a topological phase of interacting bosons in (3+1) dimensions which is protected by charge conservation and time-reversal symmetry. We present an explicit lattice model which realizes this phase and which can be studied in…

Statistical Mechanics · Physics 2014-12-31 Scott Geraedts , Olexei Motrunich

Topological insulators subject to a time-symmetry-breaking perturbation are predicted to display a magneto-electric effect that causes the electric and magnetic induction fields to mix at the material's surface. This effect induces…

Optics · Physics 2015-10-22 J. A. Crosse

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

We study surface plasmons localized on interfaces between topologically trivial and topologically non-trivial time reversal invariant materials in three dimensions. For the interface between a metal and a topological insulator the magnetic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Andreas Karch

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

We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Chen Fang , Liang Fu

Different from the two-dimensional (2D) topological insulator, the 2D topological crystalline insulator (TCI) phase disappears when the mirror symmetry is broken, e.g., upon placing on a substrate. Here, based on a new family of 2D TCIs -…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 C. Niu , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blugel , Y. Mokrousov

Symmetry protected topological (SPT) states are short-range entangled states with symmetry, which have symmetry protected gapless edge states around a gapped bulk. Recently, we proposed a systematic construction of SPT phases in interacting…

Strongly Correlated Electrons · Physics 2013-09-17 Xie Chen , Xiao-Gang Wen

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass…

Strongly Correlated Electrons · Physics 2016-08-18 Stephan Rachel

Dimensional evolution between one- ($1D$) and two-dimensional ($2D$) topological phases is investigated systematically. The crossover from a $2D$ topological insulator to its $1D$ limit shows oscillating behavior between a $1D$ ordinary…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Huaiming Guo , Lin Yang , Shun-Qing Shen

The classification of topological states of matter depends on spatial dimension and symmetry class. For non-interacting topological insulators and superconductors the topological classification is obtained systematically and nontrivial…

Strongly Correlated Electrons · Physics 2013-06-05 Xiao-Liang Qi

Topological crystalline insulators represent a novel topological phase of matter in which the surface states are protected by discrete point group-symmetries of the underlying lattice. Rock-salt lead-tin-selenide alloy is one possible…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 A. Gyenis , I. K. Drozdov , S. Nadj-Perge , O. B. Jeong , J. Seo , I. Pletikosic , T. Valla , G. D. Gu , A. Yazdani

We report a discovery, through first-principles calculations, that crystalline Ge-Sb-Te (GST) phase-change materials exhibit the topological insulating property. Our calculations show that the materials become topological insulator or…

Materials Science · Physics 2010-11-29 Jeongwoo Kim , Jinwoong Kim , Seung-Hoon Jhi

When time reversal symmetry is present there is a sharp distinction between topological and trivial band insulators which ensures that, as parameters are varied, these phases are separated by a phase transition at which the bulk gap closes.…

Strongly Correlated Electrons · Physics 2015-06-05 Zohar Ringel , Ehud Altman

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

We study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface…

Strongly Correlated Electrons · Physics 2012-06-29 Lei Wang , Hua Jiang , Xi Dai , X. C. Xie

Ordered states of matter are typically categorized by their broken symmetries. With the ordering of spins in a ferromagnet or the freezing of a liquid into a solid, the loss of symmetry distinguishes the ordered state from the disordered…

Strongly Correlated Electrons · Physics 2017-10-17 R. Valdés Aguilar , A. V. Stier , W. Liu , L. S. Bilbro , D. K. George , N. Bansal , L. Wu , J. Cerne , A. G. Markelz , S. Oh , N. P. Armitage

Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential…

Strongly Correlated Electrons · Physics 2025-04-02 R. Flores-Calderón , Elio J. König , Ashley M. Cook

We study symmetry protected features in the quasiparticle interference (QPI) pattern of 2D systems with mirror symmetries and time-reversal symmetry, around a single static point impurity. We show that, in the Fourier transformed local…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Chen Fang , Matthew J. Gilbert , Su-Yang Xu , B. Andrei Bernevig , M. Zahid Hasan