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In recent years, there have been rapid advances in the parallel fields of electronic and photonic topological crystals. Topological photonic crystals in particular show promise for coherent transport of light and quantum information at…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 María Blanco de Paz , Maia G. Vergniory , Dario Bercioux , Aitzol García-Etxarri , Barry Bradlyn

Two-dimensional topological insulators are central to our understanding of the connection between topological symmetries in a material and its band electronics. Within this class of materials, a breadth of complex quantum behaviors, such as…

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We study electronic properties of a superconducting topological insulator whose parent material is a topological insulator. We calculate the temperature dependence of the specific heat and spin susceptibility for four promising…

Superconductivity · Physics 2015-03-20 Tatsuki Hashimoto , Keiji Yada , Ai Yamakage , Masatoshi Sato , Yukio Tanaka

The topological electronic structure of a single twin boundary and coherent twinning superlattices (TSLs) based on the SnTe class of material is calculated and discussed within a supercell implementation. The superlattices consist of two…

Materials Science · Physics 2023-05-08 Saeed Samadi , Rafał Rechciński , Ryszard Buczko

The surfaces of intrinsic magnetic topological insulators (TIs) host magnetic moments exchange-coupled to Dirac electrons. We study the magnetic phases arising from tuning the electron density using variational and exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2021-08-23 Nisarga Paul , Liang Fu

Topological photonic crystals, which offer topologically protected and back-scattering-immune transport channels, have recently gained significant attention for both scientific and practical reasons. Although most current studies focus on…

One of the most striking manifestations of electronic properties of topological insulators is the dependence of the photocurrent direction on the helicity of circularly polarized optical excitation. The helicity dependent photocurrents,…

A topological superconductor, characterized by either a chiral order parameter or a chiral topological surface state in proximity to bulk superconductivity, is foundational to topological quantum computing. As in other topological phases of…

Photonic crystal topological insulators host protected states at their edges. In the band structure these edge states appear as continuous bands crossing the photonic band gap. They allow light to propagate unidirectionally and without…

Optics · Physics 2017-08-02 Gleb Siroki , Paloma Arroyo Huidobro , Vincenzo Giannini

Layered topological insulators, for example, Bi$_2$Se$_3$ are optically hyperbolic materials in a range of THz frequencies. Such materials possess deeply subdiffractional, highly directional collective modes: hyperbolic phonon-polaritons.…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Jhih-Sheng Wu , D. N. Basov , M. M. Fogler

Magnetically ordered materials tend to support bands of coherent propagating spin wave, or magnon, excitations. Topologically protected surface states of magnons offer a new path towards coherent spin transport for spintronics applications.…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Alberto Corticelli , Roderich Moessner , Paul A. McClarty

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

We predict topological electron crystals driven by the interplay of interlayer Coulomb attraction and topological miniband physics in bilayer graphene--Mott insulator heterostructures. Charge transfer creates a charge neutral, mass…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Wangqian Miao , Tianyu Qiao , Xue-Yang Song , Yinghai Xu , Yiwei Chen , Lei Wang , Xi Dai

We present a generalization of free fermionic topological insulators that are composed of topological subsystems of differing dimensionality. We specifically focus on topological subsystems of nonzero co-dimension are embedded within a…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Thomas I. Tuegel , Victor Chua , Taylor L. Hughes

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue

Topological superconductors are exotic phases of matter featuring robust surface states that could be leveraged for topological quantum computation. A useful guiding principle for the search of topological superconductors is to relate the…

Superconductivity · Physics 2020-05-05 Seishiro Ono , Hoi Chun Po , Haruki Watanabe

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…

We consider a magnetic skyrmion crystal formed at the surface of a topological insulator. Incorporating the exchange interaction between the helical Dirac surface states and the periodic N\'eel or Bloch skyrmion texture, we obtain the…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Stefan Divic , Henry Ling , T. Pereg-Barnea , Arun Paramekanti

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…