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We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

A low-energy theory for the helical metallic states, residing on the surface of cubic topological Kondo insulators, is derived. Despite our analysis being primarily focused on a prototype topological Kondo insulator, Samarium hexaboride…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Bitan Roy , Jay D. Sau , Maxim Dzero , Victor Galitski

Topological Kondo insulators (TKIs) are new type of symmetry-protected topological insulators, which develop through the interplay of strong correlations and spin-orbit interactions. In these materials, the bulk is a perfect band insulator…

Strongly Correlated Electrons · Physics 2017-11-22 Soroush Arabi

In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect…

Strongly Correlated Electrons · Physics 2012-03-29 Gregory A. Fiete , Victor Chua , Mehdi Kargarian , Rex Lundgren , Andreas Ruegg , Jun Wen , Vladimir Zyuzin

We present a theory of the high-spin generalization of topological insulators and their doped superconducting states. The higher-spin topological insulators involve a pair of $J=3/2$ bands with opposite parity, and are characterized by…

Superconductivity · Physics 2018-11-21 Takuto Kawakami , Tetsuya Okamura , Shingo Kobayashi , Masatoshi Sato

Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge centered cubic (perovskite) lattice are shown to form topologically non-trivial insulating phases when spin-orbit coupling is introduced. These…

Mesoscale and Nanoscale Physics · Physics 2010-11-11 C. Weeks , M. Franz

Topological Kondo insulators are strongly correlated materials, where itinerant electrons hybridize with localized spins giving rise to a topologically non-trivial band structure. Here we use non-perturbative bosonization and…

Strongly Correlated Electrons · Physics 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

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

Heavy fermion systems contain not only strong electron correlations, which promote a rich set of quantum phases, but also a large spin-orbit coupling, which tends to endow the electronic states a topological character. Kondo insulators are…

Strongly Correlated Electrons · Physics 2016-05-10 Xiao-Yong Feng , Hanting Zhong , Jianhui Dai , Qimiao Si

Kondo breakdown is one of the most intriguing problems in strongly correlated electron systems, as it is rooted in many anomalous electron behaviors found in heavy-fermion materials. In Kondo lattice systems, Kondo breakdown can arise from…

Strongly Correlated Electrons · Physics 2025-02-05 Zhihui Luo , Michel Ferrero , Dao-Xin Yao , Wei Wu

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

We present analysis of a single channel interacting quantum wire problem in the presence of spin-orbit interaction. The spin-orbit coupling breaks the spin-rotational symmetry from SU(2) to U(1) and breaks inversion symmetry. The low-energy…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Nikolaos Kainaris , Sam T. Carr

Topological insulators give rise to exquisite electronic properties due to their spin-momentum locked Dirac-cone-like band structure. Recently, it has been suggested that the required opposite parities between valence and conduction band…

Strongly Correlated Electrons · Physics 2017-01-12 Lin Jiao , Sahana Rößler , D. J. Kim , L. H. Tjeng , Z. Fisk , F. Steglich , S. Wirth

Topological Kondo insulators are a new class of topological insulators in which metallic surface states protected by topological invariants reside in the bulk band gap at low temperatures. Unlike other three-dimensional topological…

Strongly Correlated Electrons · Physics 2016-07-12 N. Xu , H. Ding , M. Shi

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Spin-triplet $p$-wave superconductors are promising candidates for topological superconductors. They have been proposed in various heterostructures where a material with strong spin-orbit interaction is coupled to a conventional $s$-wave…

Strongly Correlated Electrons · Physics 2023-01-03 Yung-Yeh Chang , Khoe Van Nguyen , Kuang-Lung Chen , Yen-Wen Lu , Chung-Yu Mou , Chung-Hou Chung

The surface states of 3D topological insulators in general have negligible quantum oscillations when the chemical potential is tuned to the Dirac points. In contrast, we find that topological Kondo insulators can support surface states with…

Strongly Correlated Electrons · Physics 2021-12-28 Areg Ghazaryan , Emilian M. Nica , Onur Erten , Pouyan Ghaemi

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating…

Strongly Correlated Electrons · Physics 2013-07-12 Jan Werner , Fakher F. Assaad

A synergistic effect between strong electron correlation and spin-orbit interaction (SOI) has been theoretically predicted to result in a new topological state of quantum matter on Kondo insulators (KIs), so-called topological Kondo…