Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-09-10
J. Phys. Soc. Jpn. 77, (2008) 044707
Physics
Condensed Matter
Strongly Correlated Electrons
7 pages, 13 figures; Errata reported in J. Phys. Soc. Jpn. 79 (2010) 028001 (DOI: 10.1143/JPSJ.79.028001) corrected.
Scientific paper
10.1143/JPSJ.77.044707
The ground state phase diagram of the spin-1/2 Heisenberg frustrated $\Delta$-chain with a ferromagnetic main chain is investigated. In addition to the ferromagnetic phase, various nonmagnetic ground states are found. If the ferromagnetic coupling between apical spins and the main chain is strong, this model is approximated by a spin-1 bilinear-biquadratic chain and the spin quadrupolar phase with spin-2 gapless excitation is realized in addition to the Haldane and ferromagnetic phases. In the regime where the coupling between the apical spins and the main chain is weak, the numerical results which suggest the possibility of a series of phase transitions among different nonmagnetic phases are obtained. Physical pictures of these phases are discussed based on the numerical results.
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