scholarly journals Electronic states of wires and slabs of topological insulators: Quantum Hall effects and edge transport

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
L. Brey ◽  
H. A. Fertig
Keyword(s):  
Topological Insulators ◽  
Quantum Hall ◽  
Electronic States ◽  
Quantum Hall Effects ◽  
Hall Effects

scholarly journals Emergent quantum Hall effects below 50 mT in a two-dimensional topological insulator

2020 ◽  
Vol 6 (26) ◽  
pp. eaba4625
Author(s):  
Saquib Shamim ◽  
Wouter Beugeling ◽  
Jan Böttcher ◽  
Pragya Shekhar ◽  
Andreas Budewitz ◽  
...  
Keyword(s):  
Quantum Wells ◽  
Quantum Hall ◽  
Quantum Spin ◽  
Majorana Fermions ◽  
Quantum Spin Hall Effect ◽  
Topological Materials ◽  
Quantum Hall Effects ◽  
Hall Effects ◽  
Low Magnetic Field ◽  
Quantum Spin Hall

The realization of the quantum spin Hall effect in HgTe quantum wells has led to the development of topological materials, which, in combination with magnetism and superconductivity, are predicted to host chiral Majorana fermions. However, the large magnetization in conventional quantum anomalous Hall systems makes it challenging to induce superconductivity. Here, we report two different emergent quantum Hall effects in (Hg,Mn)Te quantum wells. First, a previously unidentified quantum Hall state emerges from the quantum spin Hall state at an exceptionally low magnetic field of ~50 mT. Second, tuning toward the bulk p-regime, we resolve quantum Hall plateaus at fields as low as 20 to 30 mT, where transport is dominated by a van Hove singularity in the valence band. These emergent quantum Hall phenomena rely critically on the topological band structure of HgTe, and their occurrence at very low fields makes them an ideal candidate for realizing chiral Majorana fermions.

scholarly journals Graphene: A Peculiar Allotrope Of Carbon

2013 ◽  
Vol 3 ◽  
pp. 87-88
Author(s):  
Laxmi Nath Bhattarai
Keyword(s):  
Quantum Hall ◽  
Two Dimensional ◽  
Practical Application ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Effects ◽  
Hall Effects ◽  
Fractional Quantum Hall Effects ◽  
Relativistic Particles

Graphene is a two dimensional one atom thick allotrope of Carbon. Electrons in grapheme behave as massless relativistic particles. It is a 2 dimensional nanomaterial with many peculiar properties. In grapheme both integral and fractional quantum Hall effects are observed. Many practical application are seen from use of Graphene material.The Himalayan PhysicsVol. 3, No. 3, July 2012Page: 87-88

scholarly journals 3D quantum Hall effects and nonlinear Hall effect

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Shuai Li ◽  
C. M. Wang ◽  
Z. Z. Du ◽  
Fang Qin ◽  
Hai-Zhou Lu ◽  
...  
Keyword(s):  
Hall Effect ◽  
Condensed Matter ◽  
Quantum Hall ◽  
Future Research ◽  
Research Directions ◽  
New Members ◽  
Quantum Hall Effects ◽  
Open Questions ◽  
Hall Effects ◽  
Future Research Directions

AbstractThe classical and quantum Hall effects are important subjects in condensed matter physics. The emergent 3D quantum Hall effects and nonlinear Hall effect have attracted considerable interest recently, with the former elevating the quantum Hall effect to a higher dimension and the latter extending the Hall effect to higher-order responses. In this perspective, we briefly introduce these two new members of the Hall family and discuss the open questions and future research directions.

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