Extended Schwinger-Boson theory of the two-dimensional spin-1/2 anisotropic Heisenberg antiferromagnets

1996 ◽  
Vol 102 (1) ◽  
pp. 129-135 ◽  
Author(s):  
Mei-Rong Li ◽  
Yong-Jun Wang ◽  
Chang-De Gong
Keyword(s):  
Two Dimensional ◽  
Boson Theory ◽  
Heisenberg Antiferromagnets

scholarly journals HIGHER-DERIVATIVE TWO-DIMENSIONAL MASSIVE FERMION THEORIES

2000 ◽  
Vol 15 (15) ◽  
pp. 2237-2254 ◽  
Author(s):  
L. V. BELVEDERE ◽  
R. L. P. G. AMARAL ◽  
N. A. LEMOS ◽  
C. G. CARVALHAES
Keyword(s):  
Lorentz Invariance ◽  
Canonical Quantization ◽  
Mass Term ◽  
Two Dimensional ◽  
Massive Fermion ◽  
Higher Derivative ◽  
Odd Order ◽  
Boson Theory ◽  
Current Interaction ◽  
Hilbert Subspace

We consider the canonical quantization of a generalized two-dimensional massive fermion theory containing higher odd-order derivatives. The requirements of Lorentz invariance, hermiticity of the Hamiltonian and absence of tachyon excitations suffice to fix the mass term, which contains a derivative coupling. We show that the basic quantum excitations of a higher-derivative theory of order 2N+1 consist of a physical usual massive fermion, quantized with positive metric, plus 2N unphysical massless fermions, quantized with opposite metrics. The positive-metric Hilbert subspace, which is isomorphic to the space of states of a massive free fermion theory, is selected by a subsidiary-like condition. Employing the standard bosonization scheme, the equivalent boson theory is derived. The results obtained are used as a guideline to discuss the solution of a theory including a current–current interaction.

scholarly journals Two-dimensional spin-12rectangular Heisenberg antiferromagnets: Simulation and experiment

2011 ◽  
Vol 84 (10) ◽  
Author(s):  
B. C. Keith ◽  
C. P. Landee ◽  
T. Valleau ◽  
M. M. Turnbull ◽  
N. Harrison
Keyword(s):  
Two Dimensional ◽  
Simulation And Experiment ◽  
Heisenberg Antiferromagnets

scholarly journals Spin Dependence of Correlations in Two-Dimensional Square-Lattice Quantum Heisenberg Antiferromagnets

1995 ◽  
Vol 75 (5) ◽  
pp. 938-941 ◽  
Author(s):  
N. Elstner ◽  
A. Sokol ◽  
R. R. P. Singh ◽  
M. Greven ◽  
R. J. Birgeneau
Keyword(s):  
Square Lattice ◽  
Two Dimensional ◽  
Spin Dependence ◽  
Lattice Quantum ◽  
Heisenberg Antiferromagnets
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