Jordan-Wigner transformation for quantum-spin systems in two dimensions and fractional statistics

1989 ◽  
Vol 63 (3) ◽  
pp. 322-325 ◽  
Author(s):  
Eduardo Fradkin
Keyword(s):  
Two Dimensions ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Fractional Statistics ◽  
Wigner Transformation

Zero-temperature properties of quantum spin systems in two dimensions

1990 ◽  
Vol 68 (12) ◽  
pp. 1410-1418 ◽  
Author(s):  
D. D. Betts ◽  
S. Miyashita
Keyword(s):  
Phase Transition ◽  
Order Parameter ◽  
Magnetic Phase ◽  
Finite Lattice ◽  
Two Dimensions ◽  
Quantum Spin ◽  
Spin Systems ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
Quantum Spin Systems

We consider the zero-temperature properties of four different spin 1/2 models on two-dimensional lattices: the XY ferromagnet, the XY antiferromagnet, the Heisenberg antiferromagnet, and the Dzyaloshinsky–Moriya models. Most of this article is a review of previously published work, but a few previously unpublished results are included. The relation between three of the models on bipartite lattices is described. The properties of the XY ferromagnet in two dimensions, especially those derived from extrapolation of finite lattice results, are reviewed. A numerical factor by which spin-wave and finite-lattice estimates of the long-range order parameter differ is discussed. For frustrated models on the triangular lattice the possibility of a chirality phase transition instead of, or in addition to, a magnetic phase transition is considered.

A NONLOCAL APPROACH TO VERTEX MODELS AND QUANTUM SPIN SYSTEMS

1993 ◽  
Vol 04 (06) ◽  
pp. 1147-1159 ◽  
Author(s):  
HANS GERD EVERTZ ◽  
MIHAI MARCU
Keyword(s):  
Cluster Algorithm ◽  
Two Dimensions ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Original Algorithm ◽  
Vertex Models ◽  
Slowing Down ◽  
New Type ◽  
Nonlocal Approach

We discuss the loop-algorithm, a new type of cluster algorithm that reduces critical slowing down in vertex models and in quantum spin systems. We cover the example of the 6-vertex model in detail. For the F-model, we present numerical results that demonstrate the effectiveness of the loop algorithm. We show how to modify the original algorithm for some more complicated situations, especially for quantum spin systems in one and two dimensions, and we discuss parallelization.

scholarly journals From one to two dimensions in quantum spin systems

1998 ◽  
Vol 57 (2) ◽  
pp. 956-963 ◽  
Author(s):  
A. Fledderjohann ◽  
K.-H. Mütter ◽  
M.-S. Yang ◽  
M. Karbach
Keyword(s):  
Two Dimensions ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

scholarly journals Quantum Spin Systems at Positive Temperature

2006 ◽  
Vol 269 (3) ◽  
pp. 611-657 ◽  
Author(s):  
Marek Biskup ◽  
Lincoln Chayes ◽  
Shannon Starr
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Positive Temperature ◽  
Quantum Spin Systems

High-field ESR in one-dimensional quantum spin systems

2000 ◽  
Vol 284-288 ◽  
pp. 1625-1626 ◽  
Author(s):  
Y Ajiro ◽  
T Asano ◽  
Y Inagaki ◽  
J.P Boucher ◽  
S Luther ◽  
...  
Keyword(s):  
High Field ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
High Field Esr
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