Journal
PHASE TRANSITIONS
Volume 92, Issue 4, Pages 317-322Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/01411594.2019.1574013
Keywords
Heisenberg bilayer; critical exponents; magnetization; specific heat
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Funding
- Ministry of Education, Science, Research and Sport of the Slovak Republic (Agentura Ministerstva skolstva, Vedy, Vyskumu a Sportu SR) [VEGA 1/0043/16]
- Slovak Research and Development Agency (Agentura na Podporu Vyskumu a Vyvoja) [APVV-14-0073]
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The fully frustrated spin-1/2 Heisenberg FM/AF square bilayer in a magnetic field with the ferromagnetic inter-dimer interaction and the antiferromagnetic intra-dimer interaction is explored by the use of localized many-magnon approach, which allows to connect the original purely quantum Heisenberg spin model on a square bilayer with the effective ferromagnetic Ising model on a simple square lattice. Magnetization and specific heat are investigated exactly at a field-driven phase transition from the singlet-dimer phase towards the fully saturated ferromagnetic phase, which changes from a discontinuous phase transition to a continuous one at a certain critical temperature. The mapping correspondence between the spin-1/2 Heisenberg FM/AF square bilayer and the ferromagnetic Ising square lattice suggests for this special critical point of the spin-1/2 Heisenberg FM/AF square bilayer critical exponents from the standard two-dimensional Ising universality class.
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