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SU(4) spin-orbit critical state in one dimension

1998/04/30 by Yasufumi Yamashita, Naokazu Shibata, Kazuo Ueda · 11 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.58.9114

published as Phys. Rev. B 58, 9114-9118 (1998) · 5 pages, 5 figures, REVTeX, to appear in Phys. Rev. B

openalex publication_date 1998/10/01 · arxiv created 1998/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Effect of quantum fluctuations concerned with the orbital degrees of freedom is discussed for the model with SU(4) symmetry in one dimension. An effective Hamiltonian is derived from the orbitally degenerate Hubbard model at quarter filling. This model is equivalent to the Bethe soluble SU(4) exchange model. Quantum numbers of the ground state and the lowest branch of excitations are determined. The spin-spin correlation functions are obtained numerically by the density matrix renormalization group method. It shows a power-law decay with oscillations of the period of four sites. The period originates from the interference between the spin and orbital degrees of freedom. The exponent of the power-law decay estimated from the finite size data is consistent with the prediction by the conformal field theory.

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