Ground state of the anisotropic Heisenberg model in a parallel magnetic field

1974 ◽  
Vol 48 (1) ◽  
pp. 47-48 ◽  
Author(s):  
D.J. Austen ◽  
M. Plischke
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Heisenberg Model ◽  
Parallel Magnetic Field ◽  
Anisotropic Heisenberg Model

scholarly journals Chiral magnetism: a geometric perspective

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Daniel Hill ◽  
Valeriy Slastikov ◽  
Oleg Tchernyshyov
Keyword(s):  
Magnetic Field ◽  
Excited States ◽  
Ground State ◽  
Heisenberg Model ◽  
Parallel Transport ◽  
Spin Current ◽  
Theory Of Relativity ◽  
Spacetime Curvature ◽  
Spatial Dimensions ◽  
Moriya Interaction

We discuss a geometric perspective on chiral ferromagnetism. Much like gravity becomes the effect of spacetime curvature in theory of relativity, the Dzyaloshinski-Moriya interaction arises in a Heisenberg model with nontrivial spin parallel transport. The Dzyaloshinskii-Moriya vectors serve as a background SO(3) gauge field. In 2 spatial dimensions, the model is partly solvable when an applied magnetic field matches the gauge curvature. At this special point, solutions to the Bogomolny equation are exact excited states of the model. We construct a variational ground state in the form of a skyrmion crystal and confirm its viability by Monte Carlo simulations. The geometric perspective offers insights into important problems in magnetism, e.g., conservation of spin current in the presence of chiral interactions.

scholarly journals Charged rho superconductor in the presence of magnetic field and rotation

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Gaoqing Cao
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Ground State ◽  
Spin Structure ◽  
Charged Pion ◽  
Axial Vector ◽  
Axial Vector Meson ◽  
Parallel Magnetic Field ◽  
The Stability ◽  
The Given

AbstractIn this work, we mainly explore the possibility of charged rho ($$\rho ^\pm $$ ρ ± ) superconductor in the presence of parallel magnetic field and rotation within three-flavor Nambu–Jona-Lasino model. By following similar schemes as in the previous studies of charged pion ($$\pi ^\pm $$ π ± ) superfluid, the $$\rho ^\pm $$ ρ ± superconductor is found to be favored for both choices of Schwinger phase in Minkowski and curved spaces. Due to the stability of the internal spin structure, charged rho begins to condensate at a smaller threshold of angular velocity than charged pion for the given large magnetic fields. Even the axial vector meson condensation is checked – the conclusion is that $$\rho ^\pm $$ ρ ± superconductor is the robust ground state at strong magnetic field and fast rotation, which actually sustains to very large angular velocity.

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