scholarly journals Topological Defects and Goldstone Excitations in Domain Walls between Ferromagnetic Quantum Hall Liquids

1999 ◽  
Vol 82 (2) ◽  
pp. 402-405 ◽  
Author(s):  
Vladimir I. Fal'ko ◽  
S. V. Iordanskii
Keyword(s):  
Domain Walls ◽  
Quantum Hall ◽  
Topological Defects ◽  
Quantum Hall Liquids

scholarly journals Controllable quantum point junction on the surface of an antiferromagnetic topological insulator

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Nicodemos Varnava ◽  
Justin H. Wilson ◽  
J. H. Pixley ◽  
David Vanderbilt
Keyword(s):  
Topological Insulator ◽  
Information Science ◽  
Domain Walls ◽  
Quantum Hall ◽  
Edge State ◽  
Wave Functions ◽  
Quantum Hall Systems ◽  
Electron Quantum ◽  
Quantum Point ◽  
Higher Temperature

AbstractEngineering and manipulation of unidirectional channels has been achieved in quantum Hall systems, leading to the construction of electron interferometers and proposals for low-power electronics and quantum information science applications. However, to fully control the mixing and interference of edge-state wave functions, one needs stable and tunable junctions. Encouraged by recent material candidates, here we propose to achieve this using an antiferromagnetic topological insulator that supports two distinct types of gapless unidirectional channels, one from antiferromagnetic domain walls and the other from single-height steps. Their distinct geometric nature allows them to intersect robustly to form quantum point junctions, which then enables their control by magnetic and electrostatic local probes. We show how the existence of stable and tunable junctions, the intrinsic magnetism and the potential for higher-temperature performance make antiferromagnetic topological insulators a promising platform for electron quantum optics and microelectronic applications.

scholarly journals Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness

2005 ◽  
Vol 72 (7) ◽  
Author(s):  
Xin Wan ◽  
D. N. Sheng ◽  
E. H. Rezayi ◽  
Kun Yang ◽  
R. N. Bhatt ◽  
...  
Keyword(s):  
Layer Thickness ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Effects Of Disorder ◽  
Quantum Hall Liquids ◽  
Mobility Gap

scholarly journals Nanoscale strain engineering of giant pseudo-magnetic fields, valley polarization, and topological channels in graphene

2020 ◽  
Vol 6 (19) ◽  
pp. eaat9488 ◽  
Author(s):  
C.-C. Hsu ◽  
M. L. Teague ◽  
J.-Q. Wang ◽  
N.-C. Yeh
Keyword(s):  
Magnetic Fields ◽  
Domain Walls ◽  
Quantum Hall ◽  
Strain Engineering ◽  
Scanning Tunneling ◽  
Monolayer Graphene ◽  
Tunneling Microscopy ◽  
One Dimensional ◽  
Valley Polarization ◽  
Topological States

The existence of nontrivial Berry phases associated with two inequivalent valleys in graphene provides interesting opportunities for investigating the valley-projected topological states. Examples of such studies include observation of anomalous quantum Hall effect in monolayer graphene, demonstration of topological zero modes in “molecular graphene” assembled by scanning tunneling microscopy, and detection of topological valley transport either in graphene superlattices or at bilayer graphene domain walls. However, all aforementioned experiments involved nonscalable approaches of either mechanically exfoliated flakes or atom-by-atom constructions. Here, we report an approach to manipulating the topological states in monolayer graphene via nanoscale strain engineering at room temperature. By placing strain-free monolayer graphene on architected nanostructures to induce global inversion symmetry breaking, we demonstrate the development of giant pseudo-magnetic fields (up to ~800 T), valley polarization, and periodic one-dimensional topological channels for protected propagation of chiral modes in strained graphene, thus paving a pathway toward scalable graphene-based valleytronics.

scholarly journals Charge and spin textures of Ising quantum Hall ferromagnet domain walls

2019 ◽  
Vol 100 (23) ◽  
Author(s):  
Jeroen Danon ◽  
Ajit C. Balram ◽  
Samuel Sánchez ◽  
Mark S. Rudner
Keyword(s):  
Domain Walls ◽  
Quantum Hall

scholarly journals Microscopic theory of a quantum Hall Ising nematic: Domain walls and disorder

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
Akshay Kumar ◽  
S. A. Parameswaran ◽  
S. L. Sondhi
Keyword(s):  
Domain Walls ◽  
Quantum Hall ◽  
Microscopic Theory
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