# Colloquium : Topological insulators

@article{Hasan2010ColloquiumT, title={Colloquium : Topological insulators}, author={M Zahid Hasan and Charles L. Kane}, journal={Reviews of Modern Physics}, year={2010}, volume={82}, pages={3045-3067} }

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator but have protected conducting states on their edge or surface. These states are possible due to the combination of spin-orbit interactions and time-reversal symmetry. The two-dimensional (2D) topological insulator is a quantum spin Hall insulator, which is a close cousin of the integer quantum Hall state. A three-dimensional (3D) topological insulator supports novel spin-polarized 2D Dirac…

## 11,026 Citations

### Quantum Hall Effect and Surface Criticality in 3D Topological Insulators

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- 2012

Topological insulators are unique quantum states of matter. Although they behave like ordinary insulators in the bulk, states involving massless Dirac fermions at the surface of such materials are…

### Emerging trends in topological insulators and topological superconductors

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Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulators but have protected conducting states on their edges or surfaces. These…

### Massive Dirac surface states in topological insulator/magnetic insulator heterostructures

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Topological insulators are new states of matter with a bulk gap and robust gapless surface states protected by time-reversal symmetry. When time-reversal symmetry is broken, the surface states are…

### Magnetic topological insulator MnBi6Te10 with a zero-field ferromagnetic state and gapped Dirac surface states

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Magnetic topological insulators (TIs) with nontrivial topological electronic structure and broken time-reversal symmetry exhibit various exotic topological quantum phenomena. The realization of such…

### Correlated topological insulators and the fractional magnetoelectric effect

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Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of…

### A computational investigation of topological insulator

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- 2014

Topological insulators have a bulk band gap like an ordinary insulator and conducting states on their edge or surface which are formed by spin–orbit coupling and protected by time-reversal symmetry.…

### Three-Dimensional Topological Insulators

- PhysicsAnnual Review of Condensed Matter Physics
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Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states (SSs) as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of…

### Topological insulator: Spintronics and quantum computations

- PhysicsFrontiers of Physics
- 2019

Topological insulators are emergent states of quantum matter that are gapped in the bulk with time-reversal symmetry-preserved gapless edge/surface states, adiabatically distinct from conventional…

### Surfaces of axion insulators

- PhysicsPhysical Review B
- 2018

Axion insulators are magnetic topological insulators in which the nontrivial ${\mathbb{Z}}_{2}$ index is protected by inversion symmetry instead of time-reversal symmetry. The naturally gapped…

### Photonic Floquet topological insulators

- PhysicsNature
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This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.

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