Variational RVB wave function for the spin-1/2 Heisenberg Model on honeycomb lattice

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dc.creatorNourbakhsh, Zahra
dc.creatorShahbazi, Farhad
dc.creatorJafari, S. A.
dc.creatorBaskaran, G.
dc.date2008-12-17
dc.date.accessioned2026-07-07T13:11:43Z
dc.date.available2026-07-07T13:11:43Z
dc.descriptionIn this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC) method, we show that the ground state energy obtained from such RVB wave function, lies well below the energy of the Néel state and compares very well to the energies evaluated from spin-wave theory and series expansion method. We also obtain the spin-spin correlation function along zig-zag and armchair directions and find that the two correlations are different, which indicates the anisotropic nature of the system. We compare our results with the square lattice and we show that although the quantum fluctuations on honeycomb lattice are much stronger, but do not completely destroy the magnetic order.
dc.identifierhttps://arxiv.org/abs/0812.3229
dc.identifierhttp://arxiv.org/abs/0812.3229
dc.identifierJPSJ 78 (2009) 054701
dc.identifierdoi:10.1143/JPSJ.78.054701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229370
dc.subjectStrongly Correlated Electrons
dc.titleVariational RVB wave function for the spin-1/2 Heisenberg Model on honeycomb lattice
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