Abstract
Numerical-diagonalization analyses of an effective Hamiltonian for the Haldane system are given; the phase diadram of this Hamiltonian was previously studied only by means of the Hatree-Fock approximation. Phase transitions of the transverse-Ising-model type are found, and the phase diagram in the λ- D plane is depicted. The dependence of the phase boundary on the next-nearest-neighbor competing interaction is also studied in this effective-Hamiltonian formalism. A physical point of view is obtained by inspecting the low-lying excitation spectra of the effective Hamiltonian, and the correspondence to the original Haldane system is discussed.
Original language | English |
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Pages (from-to) | 3249-3262 |
Number of pages | 14 |
Journal | journal of the physical society of japan |
Volume | 63 |
Issue number | 9 |
DOIs | |
Publication status | Published - Jan 1 1994 |
Externally published | Yes |
Keywords
- Haldane conjecture
- numerical diagonalization
- quantum spin systems
ASJC Scopus subject areas
- Physics and Astronomy(all)