Spin and Chiral Orderings of Frustrated Quantum Spin Chains.
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概要
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The ordering of frustrated S=1/2 and 1 XY and Heisenberg spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied by the exact diagonalization and density-matrix renormalization-group methods. It is found that the S=1 XY chain exhibits both gapless and gapped `chiral' phases characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, κ <SUB>i</SUB>=S<SUB>i</SUB><SUP>x</SUP>S<SUB>i+1</SUB><SUP>y</SUP>-S<SUB>i</SUB><SUP>y</SUP>S<SUB>i+1</SUB><SUP>x</SUP>, whereas the spin correlation decays either algebraically or exponentially. Such chiral phases are not realized in the S=1/2 XY chain or in the Heisenberg chains.
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THE PHYSICAL SOCIETY OF JAPAN | 論文
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