Ground state, quasihole, a pair of quasihole wave functions, and instability in bilayer quantum Hall systems

2006 ◽  
Vol 74 (24) ◽  
Author(s):  
Longhua Jiang ◽  
Jinwu Ye
Keyword(s):  
Ground State ◽  
Quantum Hall ◽  
Wave Functions ◽  
Quantum Hall Systems ◽  
Bilayer Quantum Hall

scholarly journals Ground State of ν=1 Bilayer Quantum Hall Systems

2006 ◽  
Vol 75 (4) ◽  
pp. 043712 ◽  
Author(s):  
Naokazu Shibata ◽  
Daijiro Yoshioka
Keyword(s):  
Ground State ◽  
Quantum Hall ◽  
Quantum Hall Systems ◽  
Bilayer Quantum Hall

HARTREE–FOCK–BOGOLIUBOV STUDIES OF BILAYER ν = 2 QUANTUM HALL SYSTEMS

2005 ◽  
Vol 19 (11) ◽  
pp. 539-548 ◽  
Author(s):  
YUICHI SHIMODA ◽  
TATSUYA NAKAJIMA ◽  
ANJU SAWADA
Keyword(s):  
Ground State ◽  
Degrees Of Freedom ◽  
Rotational Symmetry ◽  
Quantum Hall ◽  
Excitation Spectra ◽  
Hartree Fock ◽  
Quantum Hall Systems ◽  
Spin Singlet ◽  
Spin Triplet ◽  
Bilayer Quantum Hall

Excitation spectra in bilayer quantum Hall systems at total Landau-level filling ν = 2 are studied by the Hartree–Fock–Bogoliubov (HFB) approximation. The systems have the spin degrees of freedom in addition to the layer degrees of freedom described in terms of pseudospin. On the excitation spectrum from the spin-singlet and pseudospin-polarized ground state, this approximation fully preserves the spin rotational symmetry and thus can give both spin-triplet and spin-singlet excitations systematically. It is also found that the ground state is pseudospin squeezed because of pseudospin correlations and that the HFB approximation can describe ground-state properties better than other approximations.

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.

SPIN STRUCTURES IN INHOMOGENEOUS FRACTIONAL QUANTUM HALL SYSTEMS

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3871-3874 ◽  
Author(s):  
KAREL VÝBORNÝ ◽  
DANIELA PFANNKUCHE
Keyword(s):  
Ground State ◽  
Quantum Hall ◽  
Exact Diagonalization ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Spin Structures ◽  
Quantum Hall Systems ◽  
Magnetic Inhomogeneities ◽  
Spin Singlet ◽  
Spin Polarized

Transitions between spin polarized and spin singlet incompressible ground state of quantum Hall systems at filling factor 2/3 are studied by means of exact diagonalization with eight electrons. We observe a stable exactly half–polarized state becoming the absolute ground state around the transition point. This might be a candidate for the anomaly observed during the transition in optical experiments. The state reacts strongly to magnetic inhomogeneities but it prefers stripe–like spin structures to formation of domains.

Sign in / Sign up

Export Citation Format

Share Document