Quantum Heisenberg Chain with Long-Range Ferromagnetic Interactions at Low Temperatures

1994 ◽  
Vol 63 (3) ◽  
pp. 926-933 ◽  
Author(s):  
Hiroki Nakano ◽  
Minoru Takahashi
2021 ◽  
Vol 1 ◽  
Author(s):  
Shinsaku Kambe ◽  

In quantum liquids, large differences are observed owing to differences in quantum statistics. The physical properties of liquid <sup>3</sup>He (Fermion) and <sup>4</sup>He (Boson) are considerably different at low temperatures. After the discovery of superconductivity in electron (i.e., Fermion) systems, a similar pairing ordered state was expected for <sup>3</sup>He. Remarkably, the observed ordered state of <sup>3</sup>He was more surprising than expected, multiple superfluid phases in the <em>T-P</em> phase diagram. The origin of the multiple phases was attributed to ferromagnetic interactions in the <em>p</em>-wave symmetry state.


2017 ◽  
Vol 46 (25) ◽  
pp. 8259-8268 ◽  
Author(s):  
Wan-Ying Zhang ◽  
Yong-Mei Tian ◽  
Hong-Feng Li ◽  
Peng Chen ◽  
Yi-Quan Zhang ◽  
...  

A series of linear trinuclear complexes Ln2M(OQ)8 [Ln(iii) = Dy and Er, M(ii) = Ca and Mg] were structurally and magnetically investigated.


2001 ◽  
Vol 87 (6) ◽  
Author(s):  
Roger G. Melko ◽  
Byron C. den Hertog ◽  
Michel J. P. Gingras

1998 ◽  
Vol 553 ◽  
Author(s):  
S. Matsuo ◽  
T. Ishimasa ◽  
H. Nakano

AbstractSimulated annealing calculations were performed for Ising spins on Ho sites under Ruderman-Kittel-Kasuya-Yosida-like alternating exchange interactions for an icosahedral Zn-Mg-Ho structure model with intent to investigate the magnetic structures at low temperatures. Magnetic structures were analyzed by means of a Patterson function and diffraction patterns arising from spin-dependent scattering amplitudes. The diffraction patterns from the magnetic structure consist of spots at low temperatures in the case of an antiferromagnetic interaction for the shortest distance (3.37 Å) and a ferromagnetic interaction for the second shortest distance (5.46 Å). The Patterson maps indicate a long-range antiferromagnetic correlation. These facts mean that a long-range ordered magnetic structure is realized at low temperatures. The contrast of the diffraction patterns is different from the patterns arising from the spin-independent scattering amplitudes from the Ho sites. A reversed sign interaction, ferromagnetic for the shortest distance and antiferromagnetic for the second shortest distance, results in broad intensity minima in the magnetic diffraction at the positions of strong spots in the spin-independent diffraction by lattice sites. It corresponds to the degradation of the long-range correlation.


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