scholarly journals Two-Dimensional CP2 Model with  -Term and Topological Charge Distributions

1999 ◽  
Vol 102 (3) ◽  
pp. 653-670 ◽  
Author(s):  
M. Imachi ◽  
S. Kanou ◽  
H. Yoneyama
Keyword(s):  
Topological Charge ◽  
Two Dimensional ◽  
Charge Distributions

Two-dimensional potential and charge distributions of positive surface streamer

2009 ◽  
Vol 42 (7) ◽  
pp. 075204 ◽  
Author(s):  
Daiki Tanaka ◽  
Shigeyasu Matsuoka ◽  
Akiko Kumada ◽  
Kunihiko Hidaka
Keyword(s):  
Two Dimensional ◽  
Charge Distributions

Quantum entanglement in some topological insulator models

2019 ◽  
Vol 33 (24) ◽  
pp. 1950284 ◽  
Author(s):  
L. S. Lima
Keyword(s):  
Quantum Entanglement ◽  
Topological Insulator ◽  
Topological Charge ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Model Case ◽  
Topological Transition ◽  
One Dimensional ◽  
Zhang Model ◽  
The One

Quantum entanglement is studied in the neighborhood of a topological transition in some topological insulator models such as the two-dimensional Qi–Wu–Zhang model or Chern insulator. The system describes electrons hopping in two-dimensional chains. For the one-dimensional model case, there exist staggered hopping amplitudes. Our results show a strong effect of sudden variation of the topological charge Q in the neighborhood of phase transition on quantum entanglement for all the cases analyzed.

scholarly journals Nematic topological defects positionally controlled by geometry and external fields

2018 ◽  
Vol 9 ◽  
pp. 109-118 ◽  
Author(s):  
Pavlo Kurioz ◽  
Marko Kralj ◽  
Bryce S Murray ◽  
Charles Rosenblatt ◽  
Samo Kralj
Keyword(s):  
Electric Field ◽  
Topological Charge ◽  
Order Parameter ◽  
Topological Defects ◽  
Two Dimensional ◽  
External Fields ◽  
Nematic Ordering ◽  
Spatial Positioning ◽  
A Charge ◽  
The Impact

Using a Landau–de Gennes approach, we study the impact of confinement topology, geometry and external fields on the spatial positioning of nematic topological defects (TDs). In quasi two-dimensional systems we demonstrate that a confinement-enforced total topological charge of m > 1/2 decays into elementary TDs bearing a charge of m = 1/2. These assemble close to the bounding substrate to enable essentially bulk-like uniform nematic ordering in the central part of a system. This effect is reminiscent of the Faraday cavity phenomenon in electrostatics. We observe that in certain confinement geometries, varying the correlation length size of the order parameter could trigger a global rotation of an assembly of TDs. Finally, we show that an external electric field could be used to drag the boojum fingertip towards the interior of the confinement cell. Assemblies of TDs could be exploited as traps for appropriate nanoparticles, opening several opportunities for the development of functional nanodevices.

scholarly journals Topological charge distributions of an interacting two-spin system

2022 ◽  
Vol 105 (3) ◽  
Author(s):  
György Frank ◽  
Dániel Varjas ◽  
Péter Vrana ◽  
Gergő Pintér ◽  
András Pályi
Keyword(s):  
Spin System ◽  
Topological Charge ◽  
Charge Distributions

ENERGY EXPANSION AND VORTEX LOCATION FOR A TWO-DIMENSIONAL ROTATING BOSE–EINSTEIN CONDENSATE

2006 ◽  
Vol 18 (02) ◽  
pp. 119-162 ◽  
Author(s):  
RADU IGNAT ◽  
VINCENT MILLOT
Keyword(s):  
Topological Charge ◽  
Einstein Condensate ◽  
Two Dimensional ◽  
Precise Location ◽  
Ginzburg Landau ◽  
Bose Einstein Condensate ◽  
Mass Constraint ◽  
Asymptotic Energy ◽  
Bose Einstein ◽  
Energy Expansion

We continue the analysis started in [14] on a model describing a two-dimensional rotating Bose–Einstein condensate. This model consists in minimizing under the unit mass constraint, a Gross–Pitaevskii energy defined in ℝ2. In this contribution, we estimate the critical rotational speeds Ωd for having exactly d vortices in the bulk of the condensate and we determine their topological charge and their precise location. Our approach relies on asymptotic energy expansion techniques developed by Serfaty [20–22] for the Ginzburg–Landau energy of superconductivity in the high κ limit.

scholarly journals Magnetic degeneracy points in interacting two-spin systems: Geometrical patterns, topological charge distributions, and their stability

2020 ◽  
Vol 101 (24) ◽  
Author(s):  
György Frank ◽  
Zoltán Scherübl ◽  
Szabolcs Csonka ◽  
Gergely Zaránd ◽  
András Pályi
Keyword(s):  
Topological Charge ◽  
Spin Systems ◽  
Charge Distributions
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