Magnetic-field-induced long-range antiferromagnetic order in two-dimensional frustrated systems

1995 ◽  
Vol 205 (1) ◽  
pp. 101-104 ◽  
Author(s):  
A.V Mikheenkov ◽  
E.L Nagaev ◽  
E.V Zhasinas
Keyword(s):  
Magnetic Field ◽  
Long Range ◽  
Antiferromagnetic Order ◽  
Two Dimensional ◽  
Frustrated Systems

Long range antiferromagnetic order in Ising model simulations in a two-dimensional Penrose lattice

2004 ◽  
Vol 334-335 ◽  
pp. 421-426 ◽  
Author(s):  
Susumu Matsuo ◽  
Shoji Fujiwara ◽  
Hiroshi Nakano ◽  
Tsutmu Ishimasa
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Antiferromagnetic Order ◽  
Two Dimensional ◽  
Model Simulations

Lattice statistics in a magnetic field. II. Order and correlations of a two-dimensional super-exchange antiferromagnet

1960 ◽  
Vol 256 (1287) ◽  
pp. 502-513 ◽  
Keyword(s):  
Magnetic Field ◽  
Long Range ◽  
Pair Correlation ◽  
Configurational Entropy ◽  
Square Lattice ◽  
Lattice Statistics ◽  
Zero Field ◽  
Two Dimensional ◽  
Ising Lattice ◽  
Pair Correlations

The long-range order and pair correlation functions of a two-dimensional super-exchange antiferromagnet in an arbitrary magnetic field are derived rigorously from properties of the standard square Ising lattice in zero field. (The model investigated was described in part I: it is a decorated square lattice with magnetic spins on the bonds coupled antiferromagnetically via non-magnetic spins on the vertices.) The behaviour near the transition temperature in a finite field is similar to that of the normal plane lattice, i. e. the long-range orders or spontaneous magnetizations of the sublattices vanish as ( T t – T ) ⅛ and the pair correlations behave as ω c + W ( T – T t ) ln | T – T t |. The configurational entropy is discussed and the anomalous entropy in the critical field at zero temperature is calculated exactly.

Two-Dimensional Organometallic Kondo Lattice with Long-Range Antiferromagnetic Order

2018 ◽  
Vol 122 (34) ◽  
pp. 20046-20054 ◽  
Author(s):  
Rouzhaji Tuerhong ◽  
Franck Ngassam ◽  
Shinta Watanabe ◽  
Jun Onoe ◽  
Mebarek Alouani ◽  
...  
Keyword(s):  
Long Range ◽  
Kondo Lattice ◽  
Antiferromagnetic Order ◽  
Two Dimensional

Order-disorder statistics. III. The antiferromagnetic and order-disorder transitions

1951 ◽  
Vol 207 (1090) ◽  
pp. 343-358 ◽  
Keyword(s):  
Magnetic Field ◽  
Magnetic Susceptibility ◽  
Long Range ◽  
Temperature Series ◽  
Range Order ◽  
Zero Field ◽  
Long Range Order ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model

The method of the previous paper is applied to a two-dimensional model of an antiferromagnetic. An alternative notation is developed, and this shows that in the absence of a magnetic field the antiferromagnetic is effectively identical with the ferromagnetic, a result first demonstrated by Kramers & Wannier (1941). In the presence of a magnetic field a number of terms of a series expansion are obtained, and these are used in conjunction with the corresponding high-temperature ferromagnetic expansions to derive a number of qualitative features of an antiferromagnetic. High- and low-temperature series for the magnetic susceptibility in zero field are deduced, and the results are compared with standard approximations. The theory of order-disorder transitions with constituent ratios differing from unity is discussed, and it is shown that for concentrations of one constituent less than 0.226 no long-range order can exist, and there is no singularity. The application of the results to adsorption theory is discussed. The method of Ashkin & Lamb (1943) is generalized to derive a series for long-range order when the constituent ratio differs from unity.

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