scholarly journals Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin

2011 ◽  
Vol 84 (10) ◽  
Author(s):  
M. Härtel ◽  
J. Richter ◽  
D. Ihle ◽  
J. Schnack ◽  
S.-L. Drechsler
Keyword(s):  
Arbitrary Spin ◽  
Heisenberg Ferromagnet ◽  
One Dimensional ◽  
The One

On the one-dimensional ising model with arbitrary spin

1976 ◽  
Vol 37 (7-8) ◽  
pp. 803-811 ◽  
Author(s):  
R.L. Bowden ◽  
D.M. Kaplan
Keyword(s):  
Ising Model ◽  
Arbitrary Spin ◽  
One Dimensional ◽  
The One

Modified spin-wave theory applied to one-dimensional Heisenberg ferromagnet with the nearest-neighbor and next-nearest-neighbor exchange anisotropies

2019 ◽  
Vol 33 (11) ◽  
pp. 1950106
Author(s):  
Yun Liao ◽  
Yuan Chen ◽  
Ji Pei Chen ◽  
Wen An Li
Keyword(s):  
Low Temperature ◽  
Specific Heat ◽  
Spin Wave ◽  
Nearest Neighbor ◽  
Wave Theory ◽  
Heisenberg Ferromagnet ◽  
Thermodynamic Quantities ◽  
One Dimensional ◽  
Spin Wave Theory ◽  
The One

The modified spin-wave theory is used to investigate the one-dimensional Heisenberg ferromagnet with the nearest-neighbor (NN) and next-nearest-neighbor (NNN) exchange anisotropies. The ground-state and low-temperature properties of the system are studied within the self-consistent method. It is found that the effect of the NN anisotropy on the thermodynamic quantities is stronger than that of the NNN anisotropy in the low-temperature region. The anisotropy dependence behaviors (such as the power, exponential and linear laws) are obtained for the position and the height of the maximum of the specific heat and its coefficient, as well as the susceptibility coefficient. The specific heat and its coefficient both display the low-temperature double maxima which are induced by the anisotropies and the NNN interaction. In the very low temperatures the specific heat and the susceptibility behave severally as T[Formula: see text] and T[Formula: see text] at the critical point J2/J1 = −0.25, where J1 and J2 are the NN and NNN interactions, respectively.

scholarly journals FRACTIONAL WINDINGS OF THE SPINOR CONDENSATES ON A RING

2013 ◽  
Vol 27 (16) ◽  
pp. 1350070
Author(s):  
YONG-KAI LIU ◽  
SHI-JIE YANG
Keyword(s):  
Arbitrary Spin ◽  
Spin Rotation ◽  
Einstein Condensation ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Spinor Condensates ◽  
Fractional Factor ◽  
Fractional Vortices ◽  
The One ◽  
Bose Einstein

We study the uniform solutions to the one-dimensional (1D) spinor Bose–Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding numbers according to the various compositions of the hyperfine states. It simultaneously yields a fractional factor to the global phase due to the spin-gauge symmetry. All fractional windings can be denoted as nk/(m+n), with nk<m+n<2F, for arbitrary spin-F Bose–Einstein condensation (BEC). Our method can be applied to explore the fractional vortices by identifying the ring as the boundary of two-dimensional (2D) spinor condensates.

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