Atoms to topological electronic materials: A bedtime story for beginners
arXiv:1905.06255 · doi:10.1007/s12648-020-01925-x
Abstract
In this review, We discussed the theoretical foundation and experimental discovery of different topological electronic states of material in condensed matter. At first, we briefly reviewed the conventional electronic states, which have been realized in band theory of solid. Next, the simplest non-trivial insulating phase (Integer Quantum Hall State) and the concept of topological order in condensed matter electronic system have been introduced. In the following sections, we discussed Quantum Spin Hall (QSH) State in two dimensions (2D), and reviewed the theoretical and experimental developments from 2D QSH state to 3D topological insulators (TI). Subsequently, we gave a brief overview on theoretical and experimental understanding on recently discovered topological Dirac semimetals, Weyl semimetals, three-, six- , and eight-fold degenerate semimetals, and Nodal line semimetals. Then, topological crystalline insulator, which can not be considered as a descendent of Quantum Spin Hall or Integer Quantum Hall insulator, has been introduced. Finally, we discussed the presence of magnetism in some topological materials and its consequence on electronic band structure.
arXiv comment25 pages, 28 figures
References in corpus (54)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Topological Insulators in Three Dimensions
- Topological Insulators with Inversion Symmetry
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Type-II Weyl Semimetals
- Topological invariants of time-reversal-invariant band structures
- Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
- Topological Crystalline Insulators
- Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
- Dirac semimetal in three dimensions
- Experimental discovery of Weyl semimetal TaAs
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- Higher-Order Topological Insulators
- Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
- Topological Crystalline Insulators in the SnTe Material Class
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Prediction and observation of the first antiferromagnetic topological insulator
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Observation of the chiral magnetic effect in ZrTe5
- Experimental realization of a topological crystalline insulator in SnTe
- Massive Dirac fermions in a ferromagnetic kagome metal
- Topological nodal line semimetals with and without spin-orbital coupling
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Large anomalous Hall effect driven by non-vanishing Berry curvature in non-collinear antiferromagnetic Mn3Ge
- Topological crystalline insulator states in Pb(1-x)Sn(x)Se
- Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
- Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
- Surface States of the Topological Insulator Bi_{1-x}Sb_x
- A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
- Evidence for Magnetic Weyl Fermions in a Correlated Metal
- Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
- Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
- Topological semi-metals with line nodes and drumhead surface states
- Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
- Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
- Natural van der Waals heterostructural single crystals with both magnetic and topological properties
- Experimental evidence of type-II Dirac fermions in PtSe2
- Landau quantization and the thickness limit of topological insulator thin films of Sb2Te3
- The strong side of weak topological insulators
- Sub-nm wide electron channels protected by topology
- Observation of Fermi arc spin texture in TaAs
- Three-component fermions with surface Fermi arcs in topological semimetal tungsten carbide
- Nontrivial Berry phase in magnetic BaMnSb2 semimetal
- Non-trivial spin-texture of the coaxial Dirac cones on the surface of topological crystalline insulator SnTe