scholarly journals Fredholm indices and the phase diagram of quantum Hall systems

2001 ◽  
Vol 42 (1) ◽  
pp. 1-14 ◽  
Author(s):  
J. E. Avron ◽  
L. Sadun
Keyword(s):  
Phase Diagram ◽  
Quantum Hall ◽  
Quantum Hall Systems

scholarly journals Scaling approach to the phase diagram of quantum Hall systems

2003 ◽  
Vol 63 (5) ◽  
pp. 736-742 ◽  
Author(s):  
M. O Goerbig ◽  
C. Morais Smith
Keyword(s):  
Phase Diagram ◽  
Quantum Hall ◽  
Quantum Hall Systems

Phase diagram of vortices in double-layer quantum Hall systems

1996 ◽  
Vol 53 (12) ◽  
pp. R7614-R7617 ◽  
Author(s):  
Igor Tupitsyn ◽  
Mats Wallin ◽  
Anders Rosengren
Keyword(s):  
Phase Diagram ◽  
Double Layer ◽  
Quantum Hall ◽  
Quantum Hall Systems

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.

Sign in / Sign up

Export Citation Format

Share Document