scholarly journals Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation

2014 ◽  
Vol 140 (16) ◽  
pp. 164708 ◽  
Author(s):  
N. G. Almarza ◽  
J. Pȩkalski ◽  
A. Ciach
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Lattice Model ◽  
Two Dimensional ◽  
Dimensional Lattice

scholarly journals EFFECTIVE LATTICE MODELS FOR TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS

1990 ◽  
Vol 04 (16) ◽  
pp. 1043-1052 ◽  
Author(s):  
SUBIR SACHDEV ◽  
R. JALABERT
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Effective Action ◽  
Lattice Model ◽  
Lattice Models ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Quantum Antiferromagnets ◽  
Second Order Transition ◽  
Berry Phases

We introduce a 2+1 dimensional lattice model, S0, of N complex scalars coupled to a compact U(1) gauge field as a description of quantum fluctuations in SU(N) antiferromagnets. Duality maps are used to obtain a single effective action for the Néel and spin-Peierls order parameters. We examine the phases of S0 as a function of N: the N→∞ limit can be deduced from previous work. At N=1, S0 describes monopoles and their Berry phases, spin-Peierls order, but not the Néel field: Monte-Carlo simulations show a second-order transition from a spin-Peierls phase to a Higgs phase which is the remnant of the Néel phase.

Simulations of Polarization Reversals by a Two-Dimensional Lattice Model

1992 ◽  
Vol 31 (Part 1, No. 9B) ◽  
pp. 3238-3240 ◽  
Author(s):  
Masayoshi Omura ◽  
Hideo Adachi ◽  
Yoshihiro Ishibashi
Keyword(s):  
Lattice Model ◽  
Two Dimensional ◽  
Dimensional Lattice
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