ZERO TEMPERATURE PROPERTIES OF THE S = 1/2 HEISENBERG ANTIFERROMAGNET AND XY FERROMAGNET IN THREE DIMENSIONS

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-817-C6-818
Author(s):  
J. Oitmaa ◽  
D. D. Betts
Keyword(s):  
Three Dimensions ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature

scholarly journals EMPTINESS FORMATION PROBABILITY AND QUANTUM KNIZHNIK-ZAMOLODCHIKOV EQUATION

2004 ◽  
Vol 19 (supp02) ◽  
pp. 57-81
Author(s):  
H. E. BOOS ◽  
V. E. KOREPIN ◽  
F. A. SMIRNOV
Keyword(s):  
Quantum Correlations ◽  
Zero Magnetic Field ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
One Dimensional ◽  
Formation Probability ◽  
Antiferromagnetic Ground State ◽  
A New Technique ◽  
The One ◽  
Zamolodchikov Equation

We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of a formation of a ferromagnetic string P(n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Knizhnik-Zamolodchikov equation [qKZ]. We calculate EFP for n≤6 for the inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations and number theory. We also make a conjecture about a structure of EFP for arbrary n.

THE ORIENTATIONAL POLARIZATION OF ADSORBED POLAR MOLECULES

1953 ◽  
Vol 31 (1) ◽  
pp. 84-90 ◽  
Author(s):  
J. A. Snelgrove ◽  
R. McIntosh
Keyword(s):  
Temperature Coefficient ◽  
Solid Surface ◽  
Equilibrium Position ◽  
Polyatomic Molecule ◽  
Polar Molecule ◽  
Three Dimensions ◽  
Polar Molecules ◽  
Zero Temperature ◽  
Orientational Polarization

The orientational polarization of a polar molecule adsorbed on a solid surface is deduced for two cases. First, the molecule oscillates in the plane of the surface about some equilibrium position. A zero temperature coefficient of the polarization is deduced. Second, the molecule may rotate freely in the plane within some given angle, but cannot incline to any greater extent from the equilibrium position under the influence of the field. The normal temperature coefficient is obtained with this model.The derivation of these formulae is based upon the procedures of Kurbatov who considered oscillation and rotation to be possible in three dimensions. The models employed here are considered preferable on the grounds that a physically adsorbed polyatomic molecule would presumably lie flat in the plane of the adsorbing surface.

Zero-Temperature Dynamics of theS=12Linear Heisenberg Antiferromagnet

1979 ◽  
Vol 43 (1) ◽  
pp. 75-78 ◽  
Author(s):  
Gerhard Müller ◽  
Hans Beck ◽  
Jill C. Bonner
Keyword(s):  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
Temperature Dynamics
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