Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model

Ryui Kaneko, Satoshi Morita, Masatoshi Imada

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99 Citations (Scopus)


We numerically study the Heisenberg models on triangular lattices by extending it from the simplest equilateral lattice with only the nearest-neighbor exchange interaction. We show that, by including an additional weak next-nearestneighbor interaction, a quantum spin-liquid phase is stabilized against the antiferromagnetic order. The spin gap (triplet excitation gap) and spin correlation at long distances decay algebraically with increasing system size at the critical point between the antiferromagnetic phase and the spin-liquid phase. This algebraic behavior continues in the spin-liquid phase as well, indicating the presence of an unconventional critical (algebraic spin-liquid) phase characterized by the dynamical and anomalous critical exponents z + η; ∼ 1. Unusually small triplet and singlet excitation energies found in extended points of the Brillouin zone impose constraints on this algebraic spin liquid.

Original languageEnglish
Article number093707
Journaljournal of the physical society of japan
Issue number9
Publication statusPublished - 2014 Sept 15
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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