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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

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 E. V. Deviatov

Based on first-principles calculations, we predict a new two-dimensional ferromagnetic material that exhibits exotic Fermi surface topology. We show that monolayer hexagonal indium carbide ({\em h}-InC) is thermodynamically and dynamically…

Materials Science · Physics 2019-07-24 Sunam Jeon , Yun-Tak Oh , Youngkuk Kim

Topological metals and semimetals (TMs) have recently drawn significant interest. These materials give rise to condensed matter realizations of many important concepts in high-energy physics, leading to wide-ranging protected properties in…

Recently discovered Weyl semimetals (WSM) have found special place in topological condensed matter studies for they represent first example of massless Weyl fermions found in condensed matter systems. A WSM shows gapless bulk energy spectra…

Strongly Correlated Electrons · Physics 2021-02-23 Satyaki Kar , Arun M Jayannavar

In the rapidly expanding field of topological materials there is growing interest in systems whose topological electronic band features can be induced or controlled by magnetism. Magnetic Weyl semimetals, which contain linear band crossings…

Although topological band theory has been used to discover and classify a wide array of novel topological phases in insulating and semi-metal systems, it is not well-suited to identifying topological phenomena in metallic or gapless…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Alexander Cerjan , Terry A. Loring

A formalism is proposed to study the electron tunneling between extended states, based on the spin-boson Hamiltonian previously used in two-level systems. It is applied to analyze the out--of--plane tunneling in layered metals considering…

Strongly Correlated Electrons · Physics 2009-11-10 M. A. H. Vozmediano , M. P. Lopez-Sancho , F. Guinea

We derive a kinetic equation for the electrons moving on the surface of a three-dimensional topological insulator. Due to the helical nature of the excitations backward scattering is suppressed in the collision integral, and the spin…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 P. Schwab , R. Raimondi , C. Gorini

Photoinduced nonequilibrium spin structure is examined in the double-exchange model, in which itinerant electrons couple with localized spins through the ferromagnetic Hund coupling. In particular, we focus on the transient spin structure…

Strongly Correlated Electrons · Physics 2021-11-03 Atsushi Ono , Sumio Ishihara

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

This chapter describes topological (Dirac and Weyl) semimetals from the viewpoint of their observable electromagnetic response. We argue that this response may be represented by topological terms with unquantized (non-integer) coefficients…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 A. A. Burkov

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory of magnetic oscillation with topological arguments that nodal loop semimetals…

Strongly Correlated Electrons · Physics 2018-05-16 László Oroszlány , Balázs Dóra , József Cserti , Alberto Cortijo

Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

We predict that in a twisted homobilayer of transition-metal dichalcogenide MoS$_2$, spin-orbit coupling in the conduction band states from $\pm K$ valleys can give rise to moir\'{e} flat bands with nonzero Chern numbers in each valley. The…

Mesoscale and Nanoscale Physics · Physics 2022-03-21 Benjamin T. Zhou , Shannon Egan , Marcel Franz

Electron systems that possess light-like dispersion relations or the conical Dirac spectrum, such as graphene and bismuth, have recently been shown to harbor unusual collective states in high magnetic fields. Such states are possible…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 D. Hsieh , Y. Xia , D. Qian , L. Wray , J. H. Dil , F. Meier , L. Patthey , J. Osterwalder , A. V. Fedorov , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their topological properties would typically reveal from the…

Materials Science · Physics 2019-10-08 Jinyu Zou , Zhuoran He , Gang Xu

We develop a field theory of quantum magnets and magnetic (semi)metals, which is suitable for the analysis of their universal and topological properties. The systems of interest include collinear, coplanar and general non-coplanar magnets.…

Strongly Correlated Electrons · Physics 2020-08-26 Predrag Nikolić

Topological electric quadrupole is a recently proposed concept that extends the theory of electric polarization of crystals to higher orders. Such a quadrupole phase supports topological states localized on both edges and corners. In this…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Feng Liu , Hai-Yao Deng , Katsunori Wakabayashi

Among topological materials, nodal loop semimetals (NLSMs) are arguably the most topologically sophisticated, with their valence and conduction bands intersecting along arbitrarily intertwined nodes. But unlike the well-known topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Ching Hua Lee , Han Hoe Yap , Tommy Tai , Gang Xu , Xiao Zhang , Jiangbin Gong