Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-09-20
Phys. Rev. B 82, 214412 (2010) [14 pages]
Physics
Condensed Matter
Strongly Correlated Electrons
17 pages, 8 figures
Scientific paper
10.1103/PhysRevB.82.214412
Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field on classical lattice-gas models. Further we use transfer-matrix calculations and classical Monte Carlo simulations to give a quantitative description of low-temperature thermodynamics of the quantum spin models. The classical lattice-gas model yields an excellent description of the quantum spin models up to quite large temperatures. The main peculiarity of the considered frustrated bilayer is a phase transition which occurs at low temperatures for a wide range of magnetic fields below the saturation magnetic field and belongs to the two-dimensional Ising model universality class.
Derzhko Oleg
Krokhmalskii Taras
Richter Johannes
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