Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-04-06
Physical Review B60, 7278(1999)
Physics
Condensed Matter
Strongly Correlated Electrons
RevTeX, 7 figures
Scientific paper
10.1103/PhysRevB.60.7278
Ground state energies for plaquette and dimer order in the $J_1-J_2$ square-lattice spin-half Heisenberg model are compared using series expansion methods. We find that these energies are remarkably close to each other at intermediate values of $J_2/J_1$, where the model is believed to have a quantum disordered ground state. They join smoothly with those obtained from the Ising expansions for the 2-sublattice N\'eel-state at $J_2/J_1 \approx 0.4$, suggesting a second order transition from a N\'eel state to a quantum disordered state, whereas they cross the energy for the 4-sublattice ordered state at $J_2/J_1 \approx 0.6$ at a large angle, implying a first order transition to the 4-sublattice magnetic state. The strongest evidence that the plaquette phase is not realized in this model comes from the analysis of the series for the singlet and triplet excitation spectra, which suggest an instability in the plaquette phase. Thus, our study supports the recent work of Kotov et al, which presents a strong picture for columnar dimer order in this model. We also discuss the striped nature of spin correlations in this phase, with substantial resonance all along columns of dimers.
Hamer Chris J.
Oitmaa Jaan
Singh Rajiv R. P.
Weihong Zheng
No associations
LandOfFree
Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-186686