Sublattice magnetization of K3Mn2F7, a quadratic double-layer heisenberg antiferromagnet

Physica B+C ◽  
1977 ◽  
Vol 86-88 ◽  
pp. 647-648
Author(s):  
A.F.M. Arts ◽  
H.W. De Wijn
Keyword(s):  
Double Layer ◽  
Heisenberg Antiferromagnet ◽  
Sublattice Magnetization

scholarly journals Néel State in the Fermionized Spin 1/2 Heisenberg Antiferromagnet on Hypercubic and Triangular Lattices

2012 ◽  
Vol 22 (1) ◽  
pp. 33-43 ◽  
Author(s):  
Nguyen Toan Thang ◽  
Pham Thi Thanh Nga
Keyword(s):  
Free Energy ◽  
Chemical Potential ◽  
Heisenberg Antiferromagnet ◽  
Coordinate Systems ◽  
Sublattice Magnetization ◽  
Triangular Lattices

We study the Néel state of the spin 1/2 Heisenberg antiferromagnet model on hypercubic and triangular lattices, employing an auxiliary fermion representation for spin operators with Popov-Fedotov trick. The unphysical states are eliminated on each site by introducing an imaginary chemical potential. Working in local coordinate systems we obtain the free energy and the sublattice magnetization for both lattices in an unified manner. We show that exact treatment of the single occupancy constraint gives a significant effect at finite temperatures.

scholarly journals The Neel Temperature and Sublattice Magnetization for the Stacked Triangular-Lattice Antiferromagnet with a Weak Interlayer Coupling

2009 ◽  
Vol 152-153 ◽  
pp. 257-260 ◽  
Author(s):  
A.N. Ignatenko ◽  
Valentin Yu. Irkhin ◽  
A.A. Katanin
Keyword(s):  
Triangular Lattice ◽  
Nearest Neighbor ◽  
Interlayer Coupling ◽  
Neel Temperature ◽  
Heisenberg Antiferromagnet ◽  
Néel Temperature ◽  
Sublattice Magnetization ◽  
Weak Interlayer ◽  
Interlayer Exchange ◽  
Triangular Lattice Antiferromagnet

The quantum Heisenberg antiferromagnet on the stacked triangular lattice with the intralayer nearest-neighbor exchange interaction J and interlayer exchange J' is considered within the non-linear -model with the use of the renormalization group (RG) approach. For J'  J the asymptotic formula for the Neel temperature TNeel and sublattice magnetization are obtained. RG turns out to be insufficient to describe experimental data since it does not take into account the 2-vortices. Therefore TNeel is estimated using the Monte-Carlo result for the 2D correlation length [10] which has a Kosterlitz-type behavior near the temperature TKT where the vortices are activated.

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