Spontaneous SU(2) symmetry breaking in one-dimensional quantum antiferromagnet

1998 ◽  
Vol 5 (3) ◽  
pp. 565-569 ◽  
Author(s):  
A.A. Zvyagin ◽  
D.M. Apal'kov
Keyword(s):  
Symmetry Breaking ◽  
One Dimensional ◽  
Quantum Antiferromagnet

1D Mn(III) Coordination Polymers Exhibiting Chiral Symmetry Breaking and Weak Ferromagnetism

2021 ◽  
Author(s):  
Aoi Hara ◽  
Sotaro Kusumoto ◽  
Yoshihiro Sekine ◽  
Jack Harrowfield ◽  
Yang Kim ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Coordination Polymers ◽  
Chiral Symmetry Breaking ◽  
Weak Ferromagnetism ◽  
Chiral Ligands ◽  
One Dimensional

Mn(III) complexes with the non-chiral ligands, (E)-N-(2-((2-aminobenzylidene)amino)-2-methylpropyl)-5-X-2-hydroxybenzamide (HLX, X = H, Cl, Br, and I), crystallise as chiral conglomerates containing amide oxygen-bridged one-dimensional coordination polymers that exhibit weak ferromagnetism. The...

PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP

2005 ◽  
Vol 15 (04) ◽  
pp. 1267-1284 ◽  
Author(s):  
V. AVRUTIN ◽  
M. SCHANZ
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Symmetry Breaking ◽  
Period Doubling ◽  
Pitchfork Bifurcation ◽  
Period Doubling Bifurcation ◽  
Coexisting Attractors ◽  
One Dimensional ◽  
Poincaré Return Map ◽  
Smooth Dynamical System

In this work a one-dimensional piecewise-smooth dynamical system, representing a Poincaré return map for dynamical systems of the Lorenz type, is investigated. The system shows a bifurcation scenario similar to the classical period-doubling one, but which is influenced by so-called border collision phenomena and denoted as border collision period-doubling bifurcation scenario. This scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border collision bifurcation and a pitchfork bifurcation. The mechanism leading to this scenario and its characteristic properties, like symmetry-breaking and symmetry-recovering as well as emergence of coexisting attractors, are investigated.

Symmetry-breaking bifurcation for the one-dimensional Hénon equation

2019 ◽  
Vol 21 (01) ◽  
pp. 1750097
Author(s):  
Inbo Sim ◽  
Satoshi Tanaka
Keyword(s):  
Symmetry Breaking ◽  
Bifurcation Point ◽  
Global Bifurcation ◽  
One Dimensional ◽  
Bifurcation Points ◽  
Connected Set ◽  
Hénon Equation ◽  
The One ◽  
Symmetry Breaking Bifurcation

We show the existence of a symmetry-breaking bifurcation point for the one-dimensional Hénon equation [Formula: see text] where [Formula: see text] and [Formula: see text]. Moreover, employing a variant of Rabinowitz’s global bifurcation, we obtain the unbounded connected set (the first of the alternatives about Rabinowitz’s global bifurcation), which emanates from the symmetry-breaking bifurcation point. Finally, we give an example of a bounded branch connecting two symmetry-breaking bifurcation points (the second of the alternatives about Rabinowitz’s global bifurcation) for the problem [Formula: see text] where [Formula: see text] is a specified continuous parametrization function.

scholarly journals High field magnetization of the frustrated one-dimensional quantum antiferromagnet LiCuVO4

2007 ◽  
Vol 19 (14) ◽  
pp. 145227 ◽  
Author(s):  
M G Banks ◽  
F Heidrich-Meisner ◽  
A Honecker ◽  
H Rakoto ◽  
J-M Broto ◽  
...  
Keyword(s):  
High Field ◽  
One Dimensional ◽  
Field Magnetization ◽  
High Field Magnetization ◽  
Quantum Antiferromagnet

Symmetry-breaking bifurcations in one-dimensional excitable media

1992 ◽  
Vol 46 (8) ◽  
pp. 5054-5062 ◽  
Author(s):  
Mark Kness ◽  
Laurette S. Tuckerman ◽  
Dwight Barkley
Keyword(s):  
Symmetry Breaking ◽  
Excitable Media ◽  
One Dimensional

scholarly journals Dweiltime Analysis of Symmetry-Breaking Dynamical Systems

1995 ◽  
Vol 50 (12) ◽  
pp. 1117-1122 ◽  
Author(s):  
J. Vollmer ◽  
J. Peinke ◽  
A. Okniński
Keyword(s):  
Dynamical Systems ◽  
Symmetry Breaking ◽  
Dwell Time ◽  
Initial Conditions ◽  
Dissipative Systems ◽  
Time Analysis ◽  
Chaotic Scattering ◽  
One Dimensional ◽  
Basin Boundary ◽  
Sensitive Dependence

Abstract Dweiltime analysis is known to characterize saddles giving rise to chaotic scattering. In the present paper it is used to characterize the dependence on initial conditions of the attractor approached by a trajectory in dissipative systems described by one-dimensional, noninvertible mappings which show symmetry breaking. There may be symmetry-related attractors in these systems, and which attractor is approached may depend sensitively on the initial conditions. Dwell-time analysis is useful in this context because it allows to visualize in another way the repellers on the basin boundary which cause this sensitive dependence.

Sign in / Sign up

Export Citation Format

Share Document