Abstract
Recent developments of theoretical studies on spin nanotubes are reviewed, especially focusing on theS = 1/2 three-leg spin tube. In contrast to the three-leg spin ladder, the tube has a spin gap in thecase of the regular-triangle unit cell when the rung interaction is sufficiently large. Theeffective theory based on the Hubbard Hamiltonian indicates a quantum phase transition toa gapless spin liquid due to the lattice distortion to an isosceles triangle. This is alsosupported by the numerical diagonalization and the density matrix renormalizationgroup analyses. Furthermore, combining analytical and numerical approaches, wereveal several novel magnetic-field-induced phenomena: Néel, dimer, chiral and/orinhomogeneous orders, a new mechanism for the magnetization plateau formation, andothers. The recently synthesized spin tube materials are also briefly introduced.
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