A square-lattice spin-1 model in a magnetic field: Free-fermion approximation

1988 ◽  
Vol 133 (4-5) ◽  
pp. 183-184 ◽  
Author(s):  
Kun-Fa Tang
Keyword(s):  
Magnetic Field ◽  
Square Lattice ◽  
Free Fermion ◽  
Lattice Spin

scholarly journals QUANTUM GROUP APPROACH TO A SOLUBLE VERTEX MODEL WITH GENERALIZED ICE RULE

1996 ◽  
Vol 11 (10) ◽  
pp. 1747-1761
Author(s):  
C.L. SOW ◽  
T.T. TRUONG
Keyword(s):  
Free Energy ◽  
Quantum Mechanics ◽  
Positive Integer ◽  
Quantum Group ◽  
Algebraic Structure ◽  
Square Lattice ◽  
Free Fermion ◽  
Vertex Model ◽  
Group Approach ◽  
Operator Structure

Using the representation of the quantum group SL q(2) by the Weyl operators of the canonical commutation relations in quantum mechanics, we construct and solve a new vertex model on a square lattice. Random variables on horizontal bonds are Ising variables, and those on the vertical bonds take half positive integer values. The vertex is subjected to a generalized form of the so-called “ice rule,” its property is studied in detail and its free energy calculated with the method of quantum inverse scattering. Remarkably, in analogy with the usual six-vertex model, there exists a “free-fermion” limit with a novel rich operator structure. The existing algebraic structure suggests a possible connection with a lattice neutral plasma of charges, via the fermion-boson correspondence.

scholarly journals Magnetic correlation in the square-lattice spin system (CuBr)Sr2Nb3O10: A neutron diffraction study

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
S. M. Yusuf ◽  
A. K. Bera ◽  
C. Ritter ◽  
Yoshihiro Tsujimoto ◽  
Yoshitami Ajiro ◽  
...  
Keyword(s):  
Neutron Diffraction ◽  
Diffraction Study ◽  
Spin System ◽  
Neutron Diffraction Study ◽  
Square Lattice ◽  
Magnetic Correlation ◽  
Lattice Spin ◽  
Lattice Spin System

scholarly journals Square-lattice spiral magnetBa2CuGe2O7in an in-plane magnetic field

1997 ◽  
Vol 56 (21) ◽  
pp. 14006-14012 ◽  
Author(s):  
A. Zheludev ◽  
S. Maslov ◽  
G. Shirane ◽  
Y. Sasago ◽  
N. Koide ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Square Lattice

Free-fermion, checkerboard and Z -invariant lattice models in statistical mechanics

1986 ◽  
Vol 404 (1826) ◽  
pp. 1-33 ◽  
Keyword(s):  
Ising Model ◽  
Potts Model ◽  
Three Dimensional ◽  
Lattice Models ◽  
Square Lattice ◽  
Free Fermion ◽  
Local Correlations ◽  
Free Fermion Model ◽  
Zamolodchikov Model ◽  
Special Case

It is shown that the two-dimensional free fermion model is equivalent to a checkerboard Ising model, which is a special case of the general ‘ Z -invariant’ Ising model. Expressions are given for the partition function and local correlations in terms of those of the regular square lattice Ising model. Corresponding results are given for the self-dual Potts model, and the application of the methods to the three-dimensional Zamolodchikov model is discussed. The paper ends with a discussion of the critical and disorder surfaces of the checkerboard Potts model.

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