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In previous work [1] new bounded coherent states construction, based on a Keldysh conjecture, was introduced. As was shown in [1] the particular group structure arising from the model leads to new symmetry transformations for the coherent…

Strongly Correlated Electrons · Physics 2014-08-29 Diego Julio Cirilo-Lombardo

We analytically study boundary conditions of the Dirac fermion models on a lattice, which describe the first and second order topological insulators. We obtain the dispersion relations of the edge and hinge states by solving these boundary…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Xi Wu , Taro Kimura

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

Strong electron-hole interactions in a semimetal or narrow-gap semiconductor may drive a ground state of condensed excitons. Monolayer WTe2 has been proposed as a host material for such an exciton condensate, but the order parameter - the…

Excitonic insulators are electronically-driven phases of matter characterized by the spontaneous condensation of electron-hole pairs. Here we show that La$_3$Cd$_2$As$_6$ undergoes a transition at $T_{0}=278$ K to a highly insulating state…

Dislocations are ubiquitous in three-dimensional solid-state materials. The interplay of such real space topology with the emergent band topology defined in reciprocal space gives rise to gapless helical modes bound to the line defects.…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Liping Ye , Chunyin Qiu , Meng Xiao , Tianzi Li , Juan Du , Manzhu Ke , Zhengyou Liu

In the recently discovered class of materials known as topological insulators, the presence of strong spin-orbit coupling causes certain topological invariants in the bulk to differ from their values in vacuum. The sudden change of…

A topological insulator is characterized by a dichotomy between the interior and the edge of a finite system: While the bulk has a non-zero energy gap, the edges are forced to sustain excitations traversing these gaps. Originally proposed…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Roman Süsstrunk , Sebastian D. Huber

The high-temperature phase of Ta$_\mathrm{2}$NiSe$_\mathrm{5}$, a near-zero-gap semiconductor ($E_G$ = 0), is a promising candidate for an excitonic insulator. Given the dome-like evolution expected for an excitonic insulator around $E_G$,…

Three-dimensional topological insulators harbour metallic surface states with exotic properties. In transport or optics, these properties are typically masked by defect-induced bulk carriers. Compensation of donors and acceptors reduces the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 N. Borgwardt , J. Lux , I. Vergara , Zhiwei Wang , A. A. Taskin , Kouji Segawa , P. H. M. van Loosdrecht , Yoichi Ando , A. Rosch , M. Grüninger

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

Using first-principles simulations combined with many-body calculations, we show that two-dimensional free-standing quintuple-layer Bi2Se2Te is an inversion symmetric monolayer expected to achieve spatially indirect exciton with large…

Materials Science · Physics 2024-07-18 Yuanyuan Wang , Ying Dai , Baibiao Huang , Yee Sin Ang , Wei Wei

We discuss a topological classification of insulators and superconductors in the presence of both (non-spatial) discrete symmetries in the Altland-Zirnbauer classification and spatial reflection symmetry in any spatial dimensions. By using…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Ching-Kai Chiu , Hong Yao , Shinsei Ryu

Topological insulators are known to their metallic surface states, a result of strong-spin-orbital coupling, that show unique surface transport phenomenon. But these surface transports are buried in presence of metallic bulk conduction. We…

Bulk boundary correspondence in topological materials allows to study their bulk topology through the investigation of their topological boundary modes. However, for classes that share similar boundary phenomenology, the growing diversity…

The bulk-boundary correspondence, a topic of intensive research interest over the past decades, is one of the quintessential ideas in the physics of topological quantum matter. Nevertheless, it has not been proven in all generality and has…

Strongly Correlated Electrons · Physics 2018-03-23 Jun-Won Rhim , Jens H. Bardarson , Robert-Jan Slager

Topology plays an increasing role in physics beyond the realm of topological insulators in condensed mater. From geophysical fluids to active matter, acoustics or photonics, a growing family of systems presents topologically protected…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Clément Tauber , Pierre Delplace , Antoine Venaille

Detection and manipulation of electrons' spins are key prerequisites for spin-based electronics or spintronics. This is usually achieved by contacting ferromagnets with metals or semiconductors, in which the relaxation of spins due to…

Materials Science · Physics 2014-11-05 Y. Shiomi , K. Nomura , Y. Kajiwara , K. Eto , M. Novak , Kouji Segawa , Yoichi Ando , E. Saitoh

Monolayer transition metal dichalcogenides in the T' phase promise to realize the quantum spin Hall (QSH) effect at room temperature, because they exhibit a prominent spin-orbit gap between inverted bands in the bulk. Here we show that the…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Daniele Varsano , Maurizia Palummo , Elisa Molinari , Massimo Rontani

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…