Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-12-17
JPSJ 78 (2009) 054701
Physics
Condensed Matter
Strongly Correlated Electrons
Scientific paper
10.1143/JPSJ.78.054701
In 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 N\'eel 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.
Baskaran Ganapathy
Jafari Akbar S.
Nourbakhsh Zahra
Shahbazi Farhad
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