Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-05-26
Eur. Phys. J. B 49, 283 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
final version to appear in Eur. Phys. J. B; 5 pages including 4 figures; some small extensions including additional references
Scientific paper
10.1140/epjb/e2006-00077-1
The Jordan-Wigner transformation is applied to study the ground state properties and dimerization transition in the $J_1-J_2$ $XXZ$ chain. We consider different solutions of the mean-field approximation for the transformed Hamiltonian. Ground state energy and the static structure factor are compared with complementary exact diagonalization and good agreement is found near the limit of the Majumdar-Ghosh model. Furthermore, the ground state phase diagram is discussed within the mean-field theory. In particular, we show that an incommensurate ground state is absent for large $J_2$ in a fully self-consistent mean-field analysis.
Brenig Wolfram
Honecker Andreas
Verkholyak Taras
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