物性研究

Chiral Ordered Phases in Frustrated Quantum Spin Chains(New Developments in Strongly Correlated Electron Systems)

Toshiya Hikihara, Makoto Kaburagi, Hikaru Kawamura

Published Aug 20, 2001• 0 citations

OpenAlex

Abstract

この論文は国立情報学研究所の電子図書館事業により電子化されました。

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物性研究

Chiral Ordered Phases in Frustrated Quantum Spin Chains(New Developments in Strongly Correlated Electron Systems)

Toshiya Hikihara, Makoto Kaburagi, Hikaru Kawamura

Published Aug 20, 2001• 0 citations

OpenAlex

Abstract

この論文は国立情報学研究所の電子図書館事業により電子化されました。

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この論文は国立情報学研究所の電子図書館事業により電子化されました。

物性研究Aug 20, 20010 citations

An Extension of the Kohn-Sham Equations for the Correlated Electron Systems(New Developments in Strongly Correlated Electron Systems) :

Koichi Kusakabe

この論文は国立情報学研究所の電子図書館事業により電子化されました。

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Spin and Chiral Orderings of Frustrated Quantum Spin Chains

Makoto Kaburagi, Hikaru Kawamura, Toshiya Hikihara

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 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, $κ_i = S_i^xS_{i+1}^y-S_i^yS_{i+1}^x$ , whereas the spin correlation decays either algebraically or exponentially. Such chiral phases are not realized in the S=1/2 XY chain nor in the Heisenberg chains.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 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, $κ_i = S_i^xS_{i+1}^y-S_i^yS_{i+1}^x$, whereas the spin correlation decays either algebraically or exponentially. Such chiral phases are not realized in the S=1/2 XY chain nor in the Heisenberg chains.

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arXiv:hep-lat/9412019Nuclear Physics B - Proceedings SupplementsApr 1, 19954 citations

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κ_i = S_i^xS_{i+1}^y-S_i^yS_{i+1}^x

, whereas the spin correlation decays either algebraically or exponentially. Such chiral phases are not realized in the S=1/2 XY chain nor in the Heisenberg chains.