scholarly journals Curvature-driven homogeneous Dzyaloshinskii–Moriya interaction and emergent weak ferromagnetism in anisotropic antiferromagnetic spin chains

2021 ◽  
Vol 118 (18) ◽  
pp. 182405
Author(s):  
Oleksandr V. Pylypovskyi ◽  
Yelyzaveta A. Borysenko ◽  
Jürgen Fassbender ◽  
Denis D. Sheka ◽  
Denys Makarov
Keyword(s):  
Weak Ferromagnetism ◽  
Spin Chains ◽  
Curvature Driven ◽  
Antiferromagnetic Spin ◽  
Moriya Interaction

CRITICAL EXPONENTS FOR ANTIFERROMAGNETIC SPIN CHAINS OBTAINED FROM BOSONISATION

2012 ◽  
Vol 11 ◽  
pp. 183-190 ◽  
Author(s):  
MARCEL KOSSOW ◽  
PETER SCHUPP ◽  
STEFAN KETTEMANN
Keyword(s):  
Critical Exponent ◽  
Quantum Hall Effect ◽  
Critical Exponents ◽  
Spin Chain ◽  
Quantum Hall ◽  
Spin Chains ◽  
Special Focus ◽  
Heisenberg Spin ◽  
First Order ◽  
Antiferromagnetic Spin

The Heisenberg spin 1/2 chain is revisited in the perturbative RG approach with special focus on the transition of the critical exponents. We give a compact review that first order RG in the couplings is sufficient to derive the exact transition from ν = 1 to ν = 2/3, if the boson radius obtained in the bosonization procedure is replaced by the exact radius obtained in the Bethe approach. We explain the fact, that from the bosonization procedure alone, the critical exponent can not be derived correctly in the isotropic limit Jz → J. We further state that this fact is important if we consider to bosonize the antiferromagnetic super spin chain for the quantum Hall effect.

scholarly journals Nonlinear soliton confinement in weakly coupled antiferromagnetic spin chains

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
H. Lane ◽  
C. Stock ◽  
S.-W. Cheong ◽  
F. Demmel ◽  
R. A. Ewings ◽  
...  
Keyword(s):  
Spin Chains ◽  
Weakly Coupled ◽  
Antiferromagnetic Spin

Microscopic approach to the magnetoelectric coupling in RCrO3

2015 ◽  
Vol 29 (Supplement 1) ◽  
pp. 1550251 ◽  
Author(s):  
A. T. Apostolov ◽  
I. N. Apostolova ◽  
J. M. Wesselinowa
Keyword(s):  
Function Theory ◽  
Weak Ferromagnetism ◽  
Anisotropy Constant ◽  
Magnetoelectric Coupling ◽  
Spin Reorientation ◽  
Microscopic Approach ◽  
Rare Earth Ion ◽  
Multiferroic Properties ◽  
Magnetic Anisotropy Constant ◽  
Moriya Interaction

A microscopic model is proposed to describing the multiferroic properties in [Formula: see text], where [Formula: see text] is the magnetic rare earth ion. Using the Green’s function theory, the weak ferromagnetism and the coercive field are calculated by a balance between the Dzyaloshinskii–Moriya interaction (DMI), the single-ion anisotropy and the exchange interaction. We have discussed the magnetic rotational spin-reorientation (SR) transition between [Formula: see text] and [Formula: see text] phases in [Formula: see text] and the abrupt one between [Formula: see text] and [Formula: see text] in [Formula: see text] calculating the energies in the corresponding phases. The type of the phase transition in [Formula: see text] is determined by the sign of the second magnetic anisotropy constant. In order to investigate the origin of the extraordinary ferroelectricity in [Formula: see text], we have studied the different contributions in the polarization due to the antisymmetric exchange DMI and the magnetostriction arising from the Cr-ordering. It is shown that the polarization is due to the interaction between the magnetic [Formula: see text]- and Cr-ions. The influence of a magnetic field on the polarization and of an electric field on the magnetization are also calculated as an evidence for a strong magnetoelectric coupling in [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document