Edge states of a three-dimensional topological insulator

Deb, Oindrila; Soori, Abhiram; Sen, Diptiman

doi:10.1088/0953-8984/26/31/315009

Cited by 25 publications

(28 citation statements)

References 65 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Its dimensional reduction with a mass p 4 = m and p 5 = 0 leads to the 3D chiral topological insulator of class AIII. (Two more concrete examples in 3D topological insulator were studied in [25] and [26], in which the boundary parameters appear as potential barriers.) For this size of the Hamiltonians, typically there could appear two edge states for a single boundary.…”

Section: Introductionmentioning

confidence: 99%

Edge states at an intersection of edges of a topological material

2017

View full text Add to dashboard Cite

We study an exotic state which is localized only at an intersection of edges of a topological material. This "edge-of-edge" state is shown to exist generically. We construct explicitly generic edge-of-edge states in 5-dimensional Weyl semimetals and their dimensional reductions, such as 4-dimensional topological insulators of class A and 3-dimensional chiral topological insulators of class AIII. The existence of the edge-of-edge state is due to a topological charge of the edge states. The notion of the Berry connection is generalized to include the space of all possible boundary conditions, where Chern-Simons forms are shown to be nontrivial.

show abstract

Section: Introductionmentioning

confidence: 99%

Edge states at an intersection of edges of a topological material

2017

View full text Add to dashboard Cite

show abstract

“…Our results are therefore specific to this material but they will be observable to some degree in any TI material, especially those where interaction effects are weak and the material has a single Dirac cone. Examples of similar approaches to that taken in this work can be found in [13,14], amongst many others.…”

Section: Introductionmentioning

confidence: 83%

Bi₂Se₃ topological insulator quantum wires

Nikolić

Barnes

2018

J. Phys. Commun.

View full text Add to dashboard Cite

We study the effect of 3D topological insulator contributions to the band structure and wavefunctions of quasi-one-dimensional electron systems. Our model for this system consists of an effective Hamiltonian derived previously in the literature from the crystal symmetries of Bi 2 Se 3 . We find that in wires whose face lies in the plane formed by the y and z crystal directions and whose width is around 25 quintuple layers or more, the bands nearest to the gap are non-monotonic; we show that this has implications for the conductance of the wire. In addition, we observed increasing penetration depth of surface states with increasing wavenumber of the propagating mode. We believe these results have qualitative relevance to the family of 3D topological insulators whose crystal structure is characterised by the space group D d 3 5 , and that the work done here contributes to the wider field of the study of conductance in topological insulators.

show abstract

“…Very recently, some early experimental realizations of second-order topological insulators appeared [47][48][49][50], where Ref. [47] uses the bismuth nanowire which was previously shown to support edge states [51]. This work was motivated by a colloquium on C4T-symmetric higher-order topological insulators by Titus Neupert at FU Berlin and subsequent discussions.…”

Section: Prl 119 246401 (2017) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Topological Insulators Turn a Corner

Parameswaran

Wan

2017

Physics

View full text Add to dashboard Cite

Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but with topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five of the ten Altland-Zirnbauer symmetry classes allow for the existence of such second-order topological insulators in two and three dimensions. We show that reflection symmetry can be employed to systematically generate examples of second-order topological insulators and superconductors, although the topologically protected states at corners (in two dimensions) or at crystal edges (in three dimensions) continue to exist if reflection symmetry is broken. A three-dimensional secondorder topological insulator with broken time-reversal symmetry shows a Hall conductance quantized in units of e 2 =h.

show abstract

Edge states of a three-dimensional topological insulator

Cited by 25 publications

References 65 publications

Edge states at an intersection of edges of a topological material

Edge states at an intersection of edges of a topological material

Bi₂Se₃ topological insulator quantum wires

Topological Insulators Turn a Corner

Contact Info

Product

Resources

About

Edge states of a three-dimensional topological insulator

Cited by 25 publications

References 65 publications

Edge states at an intersection of edges of a topological material

Edge states at an intersection of edges of a topological material

Bi2Se3 topological insulator quantum wires

Topological Insulators Turn a Corner

Contact Info

Product

Resources

About

Bi₂Se₃ topological insulator quantum wires