Magnetic topological insulators are three dimensional magnetic materials with a non-trivial topological index protected by a symmetry other than time-reversal.[1][2][3][4][5] In contrast with a non-magnetic topological insulator, a magnetic topological insulator can have naturally gapped surface states as long as the quantizing symmetry is broken at the surface. These gapped surfaces exhibit a topologically protected half-quantized surface anomalous Hall conductivity () perpendicular to the surface. The sign of the half-quantized surface anomalous Hall conductivity depends on the specific surface termination.[6]
^"'Magnetic topological insulator' makes its own magnetic field". phys.org. Phys.org. Retrieved 2018-12-17.
^Xu, Su-Yang; Neupane, Madhab; et al. (2012). "Hedgehog spin texture and Berry's phase tuning in a Magnetic Topological Insulator". Nature Physics. 8 (8): 616–622. arXiv:1212.3382. Bibcode:2012NatPh...8..616X. doi:10.1038/nphys2351. ISSN 1745-2481. S2CID 56473067.
^Hasan, M. Zahid; Xu, Su-Yang; Neupane, Madhab (2015), "Topological Insulators, Topological Dirac semimetals, Topological Crystalline Insulators, and Topological Kondo Insulators", Topological Insulators, John Wiley & Sons, Ltd, pp. 55–100, doi:10.1002/9783527681594.ch4, ISBN 978-3-527-68159-4, retrieved 2020-04-23
^Hasan, M. Z.; Kane, C. L. (2010-11-08). "Colloquium: Topological insulators". Reviews of Modern Physics. 82 (4): 3045–3067. arXiv:1002.3895. Bibcode:2010RvMP...82.3045H. doi:10.1103/RevModPhys.82.3045. S2CID 16066223.
^Varnava, Nicodemos; Vanderbilt, David (2018-12-13). "Surfaces of axion insulators". Physical Review B. 98 (24): 245117. arXiv:1809.02853. Bibcode:2018PhRvB..98x5117V. doi:10.1103/PhysRevB.98.245117. S2CID 119433928.
and 27 Related for: Magnetic topological insulator information
But in a topologicalinsulator, these bands are, in an informal sense, "twisted", relative to a trivial insulator. The topologicalinsulator cannot be...
"Experimental Observation of the quantum Anomalous Hall Effect in a MagneticTopologicalInsulator". Science. 340 (6129): 167–170. arXiv:1605.08829. Bibcode:2013Sci...
the absence of external magnetic field. Topologicalinsulator: a material whose interior behaves as an electrical insulator while its surface behaves...
fault-tolerant quantum computation. Topologicalinsulators and topological superconductors (beyond 1D) do not have topological order as defined above, their...
insulators are a class of materials that are expected to conduct electricity according to conventional band theories, but turn out to be insulators (particularly...
topological flat bands carrying Chern numbers. They can appear in topologically non-trivial band structures even in the absence of the large magnetic...
Photonic topologicalinsulators are artificial electromagnetic materials that support topologically non-trivial, unidirectional states of light. Photonic...
that results in a significant, observable magnetic permeability, and in many cases, a significant magnetic coercivity, allowing the material to form a...
expected that the existence of a topological Dirac surface state in this material would lead to a topologicalinsulator with strong electronic correlations...
in Condensed Matter Physics, especially on superconductors and topologicalinsulators. In 2013, Xue was the first to achieve the quantum anomalous Hall...
that occurs in a magnetic tunnel junction (MTJ), which is a component consisting of two ferromagnets separated by a thin insulator. If the insulating...
symmetry-protected topological order. Thus, the magnetic space groups can be used to identify topological materials, such as topologicalinsulators. Experimentally...
9Sb0.1, were the first experimentally-observed three-dimensional topologicalinsulators, materials that have conducting surface states but have an insulating...
composed of a superposition of two magnetic skyrmions of opposite topological charge adding up to zero total topological charge. On this basis one can view...
Hall state. Topologicalinsulator and quantum spin Hall state are different symmetry-protected topological states. So topologicalinsulator and quantum...
effect in magnetictopologicalinsulators, time-reversal invariant topological superconductors, and the realization of a chiral topological superconductor...
of an insulator or a semiconductor. Exciton binding energy and radius can be extracted from optical absorption measurements in applied magnetic fields...
transition – Process in quantum optics Topological quantum field theory – Field theory involving topological effects in physics Askeland, Donald R.;...
flowing through it. The electric current produces a magnetic field around the conductor. The magnetic field strength depends on the magnitude of the electric...
Z2 spin liquid, is proposed, which realizes the simplest topological order – Z2 topological order. Both chiral spin state and Z2 spin liquid state have...
disclinations: thread-like topological defects observed in nematic phases. Nematics also exhibit so-called "hedgehog" topological defects. In two dimensions...
"Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topologicalinsulator". Science. 354 (6316): 1124–1127. arXiv:1603.04317. Bibcode:2016Sci...
was shown that Majorana bound states can appear even without any topologicalinsulator. An intense search to provide experimental evidence of Majorana...
property of materials that are repelled by a magnetic field; an applied magnetic field creates an induced magnetic field in them in the opposite direction...
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