Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices

Details Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices

2011-03-26

arxiv.org/abs/1103.5124v1

Teoret. Mat. Fiz., 2011, Volume 168, Number 3, Pages 441-452; Theoretical and Mathematical Physics, 2011, 168:3, 1236-1245

Physics

Condensed Matter

Strongly Correlated Electrons

Submitted to Teoreticheskaya i Matematicheskaya Fizika (special issue dedicated to the 90th anniversary of Professor Sergei Vl

Scientific paper

10.1007/s11232-011-0101-3

Using a lattice-gas description of the low-energy degrees of freedom of the quantum Heisenberg antiferromagnet on the frustrated two-leg ladder and bilayer lattices we examine the magnetization process at low temperatures for these spin models. In both cases the emergent discrete degrees of freedom implicate a close relation of the frustrated quantum Heisenberg antiferromagnet to the classical lattice gas with finite nearest-neighbor repulsion or, equivalently, to the Ising antiferromagnet in a uniform magnetic field. Using this relation we obtain analytical results for thermodynamically large systems in the one-dimensional case. In the two-dimensional case we perform classical Monte Carlo simulations for systems of up to $100 \times 100$ sites.

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