Spin‐1/2 Heisenberg antiferromagnet on the square and triangular lattices: A comparison of finite temperature properties

1994 ◽  
Vol 75 (10) ◽  
pp. 5943-5945 ◽  
Author(s):  
N. Elstner ◽  
R. R. P. Singh ◽  
A. P. Young
Keyword(s):  
Finite Temperature ◽  
Heisenberg Antiferromagnet ◽  
Triangular Lattices

scholarly journals Pyrochlore S=12 Heisenberg antiferromagnet at finite temperature

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Robin Schäfer ◽  
Imre Hagymási ◽  
Roderich Moessner ◽  
David J. Luitz
Keyword(s):  
Finite Temperature ◽  
Heisenberg Antiferromagnet

FINITE TEMPERATURE RESULTS FROM CONSTRAINED FERMIONIZATION IN THE 2-D SPIN 1/2 HEISENBERG ANTIFERROMAGNET II: FLUCTUATIONS IN THE DIMER PHASES

1994 ◽  
Vol 08 (06) ◽  
pp. 757-776 ◽  
Author(s):  
M. DI STASIO ◽  
A. TAGLIACOZZO ◽  
E. ERCOLESSI ◽  
G. MORANDI
Keyword(s):  
Saddle Point ◽  
Specific Heat ◽  
Finite Temperature ◽  
Site Occupancy ◽  
Zero Point ◽  
Single Site ◽  
Heisenberg Antiferromagnet ◽  
Zero Point Energy ◽  
Saddle Point Approximation ◽  
Point Energy

The constraint of single-site occupancy is implemented in the fermionization of the model, within the saddle point approximation. The columnar and the staggered dimer phases are studied and the contribution of the fluctuations to the zero point energy and the specific heat is analyzed.

FINITE TEMPERATURE RESULTS FROM CONSTRAINED FERMIONIZATION IN THE 2-D SPIN 1/2 HEISENBERG ANTIFERROMAGNET I: THE NÉEL PHASE

1994 ◽  
Vol 08 (06) ◽  
pp. 741-756 ◽  
Author(s):  
M. DI STASIO ◽  
A. TAGLIACOZZO ◽  
E. ERCOLESSI ◽  
G. MORANDI
Keyword(s):  
Saddle Point ◽  
Specific Heat ◽  
Spin Wave ◽  
Finite Temperature ◽  
Wave Spectrum ◽  
Site Occupancy ◽  
Zero Point ◽  
Wave Theory ◽  
Heisenberg Antiferromagnet ◽  
Spin Wave Spectrum

The antiferromagnetic saddle point is studied up to one-loop corrections, including, within the same approximation, the constraint of single site occupancy in the fermionization procedure, at all temperatures. The resulting spin wave spectrum and zero point fluctuations are the same as those of the spin wave theory. The effect of the constraint on the temperature dependence of the specific heat is discussed.

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 Thermodynamics of spin-1/2 Kagomé Heisenberg antiferromagnet: algebraic paramagnetic liquid and finite-temperature phase diagram

2018 ◽  
Vol 63 (23) ◽  
pp. 1545-1550 ◽  
Author(s):  
Xi Chen ◽  
Shi-Ju Ran ◽  
Tao Liu ◽  
Cheng Peng ◽  
Yi-Zhen Huang ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Finite Temperature ◽  
Temperature Phase ◽  
Heisenberg Antiferromagnet ◽  
Temperature Phase Diagram
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